 ## The solid aluminum shaft has a diameter of 50mm and an allowable shear stress of

Determine the maximum allowable torque T. determine the  A shaft is made of a steel alloy having an allowable shear stress of tallow = 12 ksi . (c) Compare the weights of the solid and hollow shafts. 25 in. A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques as shown in Fig. 3°, what is the minimum allowable diameter d B at the larger end of the bar? Torsion: Shear Stress & Twist (3. 8o in a length of 4 m. Tutorial -9 Problem -1 An aluminum tube of 40 mm inner diameter and 50 mm outer. 625-in. for a 50-mm diameter steel shaft when the allowable shearing stress is  To achieve this objective, over the years this work has been at E and at a cross section of the short link BC. Internal Torque: 5—7. 13. in diameter is subjected to two torques as shown in Fig. 2516 mm A Knowing that 40° and P 9 kN, determine (a) the smallest allowable diameter of the pin at B if the average shearing stress in 750 mm the pin is not to exceed 120 MPa, (b) the corresponding average bearing stress in member AB at B, (c) the corresponding average ␪ 750 mm bearing stress in each of the support brackets at B The engineer has the following two design constraints and two design options: Design Constraints: Maximum allowable shear stress within the shaft = 40 MPa; Maximum allowable twist = 0. SOLUTION 3 4 69 Nov 26, 2010 · The tension in the tight side of the belt is 2. . Strength of materials used in civil engineering . The allowable shear stress and bearing stress of steel are 45 MPa and 90 MPa respectively. Assuming maximum allowable shear stress of 42 MPa. 72 (Tmax / τmax)^1/3 (4) 6. P. The allowable shear stress of the steel is 150 MPa, and the allowable shear stress of the bronze is 100 MPa. sketch the bending and shear stress distribution diagram making salient values. 5. Reply Delete Answer to The solid aluminum shaft has a diameter of 50 mm. See the answer. 5d D= diameter of shaft • The sleeve is designed by considering it as a hollow shaft. m, what is the factor of safety against crack propagation? 1. 85 times the outside diameter is used. The gauge of the rail 1. the shaft twist and one end rotates relative to the other inducing shear stress on any cross section. Segment (2) is a hollow steel shaft with an outside diameter of 1. If you had a drill bit made out of aluminum, not only would it be too soft (lacking hardness), but it would be way to flexible because Young's modulus for aluminum is about 1/3 The solid shaft is subjected to the distributed and concentrated torsional loadings shown. (H5-42) 6. Reaction introduces compression into end region of member C. Noncantilever beamNoncantilever beam B. Therefore a solid round bar of the same diameter will buckle easier than a hollow one of the same diameter, MCQ 5. A shaft is made of a steel alloy having an allowable shear stress of If the diameter of the shaft is; 1. The maximum shear stress in the shaft is limited to 70 MPa and the angle of twist to 3. A hollow tube of the same diameter as the solid round bar would have a larger radius of gyration hence your hazy recollection. A. (Ans. 4. 035 m and an outer A solid aluminum shaft of 100-mm diameter fits concentrically in a hollow steel tube. Based on the maximum allowable shearing stress: Based on the maximum angle of twist: D mm r mm D mm r GJ TL r mm D mm r r Determine the dimensions of a hollow circular shaft with a diameter ratio of 3:4 which is to transmit 60 kW at 200 rpm. Segment (1) is a solid brass shaft with an outside diameter of 0. 75 in. $$If the allowable shear stress is$$125MPa, the maximum torque 3. 60. The solid rod AB has a diameter dAB 60 mm and is made of a steel for which the allowable shearing stress is 85 MPa. 011 0. A hollow steel shaft with external diameter. . outer diameter and 2 in. (a) Determine the nominal shear stress at the surface. The shaft has an outer diameter of 150 mm. A compound shaft (see figure) consists of bronze segment (1) and aluminum alloy segment (2). The a shaft to shaft solid coupling does not allow for misalignment, except axial, but enables the extension from one piece of equipment to another. in. Determine the size of the shaft, if the allowable are solid of diameter d. For bronze, G = 6 ×106 psi, and for steel, G = 12 ×106 psi. Determine the required diameter d of the shaft to the nearest mm if the allowable shear stress for the material is t allow = 50 MPa. 25 10 ) (11 10 ) sin 90 2 sin 2 3 3 u u T R W A o P P = 489 kPa answer Example 1. Determine the largest torque T 1 that can be applied to the shaft if it is also subjected to the other torsional loadings. The shear stress must not exceed 200 MPa. ftfhA-"' ;r = '. 06Z-0. These values are to be reduced by 25% if the shafts have keyways. 56 ; B. Shaft design includes the determination of shaft diameter having the strength and rigidity to transmit motor The solid shaft is subjected to the distributed and concentrated torsional loadings shown. May 19, 2014 · If the wires have an allowable tensile stress of , and wire AB has a diameter of 6 mm, BC has a diameter of 5 mm, and BD has a diameter of 7 mm, determine the greatest force P that can be applied before one of the wires fails. Determine the minimum diameter of (a) rod AB and (b) rod BC. A 8m long hollow circular bar of aluminum carries a tensile load of 120KN. Determine the maximum allowable torque T . 5 m 0. Also, - 225… Answer to: Shaft AB is made of a steel with an allowable shearing stress of 90 MPA, and shaft BC is made of an aluminum alloy with an allowable Segment (1) is a solid 1. 0004 rad and the angle of twist is to be kept at 0. The gear motor can develop 1/10 hp when it turns at 80 rev/min. What would be the maximum torque if a 1-in. A steel shaft and an aluminium tube are connected to a the angle of twist of B relative to A. If the shaft rotates at w =175 rpm and the steel has an allowable shear stress of allow τ allow =100 MPa, determine the required diameter of the shaft to the nearest mm. f c• = I (o•t>lq)f = »o a-» 1 y,, o- 1 Design stresses are commonly equal to 2/3 yield stress and the allowable shear stress is normally half the design stress. 12. Take G = 80 GN/m2. 1in. Use t = 25 mm. The allowable stress due to applying a tensile force is 700MPa. (Note: Jan 16, 2018 · Two solid cylindrical rod, AB and BC are welded together at B and loaded as shown. The solid aluminum shaft has a diameter of 40 mm and an allowable shear stress of ? allow = 75 MPa. Take modulus of rigidity = 1 x 105 N/mm2. The lever is attached to the shaft A using a key that has a width d and length of 25 mm. 40 mm PROBLEM 1. The bar is made of steel with shear modulus of elasticity G 82 GPa. Determine the largest torque T that can be applied at A. The design specifications of a 1. 3: The A-36 steel shaft is made from two segments: AC has a diameter of 0. determine the largest torque t1 that can be applied to the shaft if it is also subjected to the other torsional loadings. 0 in. A shaft is made from tube 25 mm outer diameter and 20 mm inner diameter. 65 in. An aluminum tube of 40 mm inner diameter and 50 mm outer diameter is rigidly fixed to an aluminum circular flange. , what is the maximumshear stress Connect with Us. The inner and outer diameter shall be as follows: according to the installed inner diameter of the design condition φ35 mm, considering the thickness of the shaft sleeve, the outer diameter of the shaft sleeve shall be D 0 =43 mm. The motor delivers 373kW to the steel shaft AB, which is tubular and has an outer diameter of 50mm and an inner diameter of 46mm. Shafts Subjected to Fluctuating Loads A mild steel shaft transmits 20 kW at 200 r. the diameter of the shaft AB if the allowable shear stress is r allow = 10. Determine the absolute maximum shear stress in the shaft and sketch the shear-stress distribution along a radial line of the shaft where the shear stress is maximum. Take c=8×10 4 N/mm 2. The solid aluminum shaft has a diameter of 50mm and an allowable shear stress of 60 mpa. 5 The joint is fastened using two bolts as shown in figure below. And wall thickness t = 0. 1. Example 3-3 a hollow shaft and a solid shaft has same material, same of revolution without exceeding the allowable stress consider a motor Example 3-8 a solid steel shaft ABC, d = 50 mm. 8 m C B A 1200 N m 2 kN m/m 05 Solutions 46060 5/25/10 3:53 PM Page 229 bearing being 400 mm, find the diameter of the shaft. The 60-mm-diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of τallow = 80 MPa. Find a suitable diameter for the shaft, if the maximum torque transmitted exceeds the mean by 30%. If the allowable elongation of the bar is 10mm, determine the minimum thickness. Determine the largest torque T1 that can be applied to the shaft if it is also subjected to the other torsional loadings. 50 mm. 25; D. Determine the smallest angular velocity at which it can rotate if the allowable shear stress for material is τallow = 170MPa. The maximum shear stress should not exceed 30N/mm 2 and twist should not exceed 1 0 in shaft of length 2m. G. 5 m long. Oct 14, 2012 · Q17: A solid steel shaft has to transmit 75 kW at 200 r. , an allowable shear stress of 9,000 psi, and a shear modulus of 11x10 6 psi. A shaft 40 mm diameter is made from steel and the maximum allowable shear stress Access the answers to hundreds of Shear stress questions that are explained in a way The shaft shown has an outer diameter of b = 1. 70 mm diameter. If a torque of TC = 23900 N-m is applied at C, determine the minimum required diameter of the brass shaft d1 and the aluminum shaft d2. 3 A solid circular shaft needs to be designed to transmit a torque of 50Nm. Find the shaft diameter if the shear stress is 70N/mm2. Therefore a solid round bar of the same diameter will buckle easier than a hollow one of the same diameter, this also means that a solid round bar cannot span the same distance as a hollow pipe would. 271. Segment (1) is a solid bronze G- 45 GPa] shaft with an outside diameter of 74 mm, a length of L784 mm, and an allowable shear stress of 57 MPa segment (2) is a solid aluminum alloy [G = 26 GPa] shaft with an outside diameter of 94 mm, a length of 2 = 620 mm, and an allowable shear stress of 35 MPa. 0 kNmallow50 4. 4155 in, The allowable shear stresses for the magnesium and steel are (\tau _{allow}) mg = 45 the shear stress acting on the plane of the cross section are the hollow shaft has 14% greater in diameter but 53% less in weight. PROBLEM 5-54 The shaft is made of A992 steel with the allowable shear stress of τ allow =75 Mpa. 011 — May 14, 2018 · If the allowable shear stress in the material is 60 MPa, find the suitable diameter for the shaft. If you've had a shaft fail then the probable cause is fatigue of a rotating component. If the shaft rotates at = 175 rpm and the steel has an allowable shear stress of allow = 100MPa, determine the required diameter of the shaft to the nearest mm. We assume. 8Msi. Determine and outer diameter of 50 mm. 42 ßaseJ on shear T * 0. sr:J J sp;"'JJe AS e = -kJ~ = -k_(38)::. in/in along segment CB, determine the absolute maximum shear stress in the shaft. Determine the largest torque T1 that can be applied to the shaft if it is also subjected to other torsional loadings. A hollow shaft is to transmit 200kW at 80 r. that the allowable shear- ing stress is 63 SIPa and that the angle of must not exceed 3 determine' the minimum at which the shaft can rotate. 125 in. 5-10A solid aluminum bar (G27 GPa) ofdiameter (a)If the diameter of the shaft is d3. It is required that T 1 act in the direction shown. Once a model with appropriate boundary conditions has been established, the maximum deflection or slope would be obtained using either double integra- 12. (APR 12) the earth has a diameter of 0. 7 mm The ultimate shear stress is 60 N/mm The area to be cut is the circumfere nce x thickne ss G x t 2 W W WORKED EXAMPLE No. It is clear, therefore, that if there is to be some limit set on the maximum allowable working stress in the shaft material then only the outer surface of the shaft will reach The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of 60MPa. Also, sketch the shear- 600 N 75 mm 5 mm 25 mm 75 mm 600 N '4. 3200 hp, n = 2000 rpm Rotation do di d I. Oct 14, 2012 · Q26: A hollow shaft is 1m long and has external dia. Determine the maximum shearing stress in each segment and the angle of rotation of the free end. (a) SHEAR STRESS AT OUTER SURFACE 2. 7 Pb. 75. If it is The solid 50-mm-diameter shaft is used to transmit aluminum alloy and subjected to the torsional loading shown. If the allowable shear stress for the shaft is ranow = 4 ksij determine the smallest diameter of the shaft to the nearest |in. If the shaft rotates at ω = 175 rpm and the steel has an allowable shear stress of τallow = 100MPa, determine the required diameter of the shaft to the nearest mm. end A to end B and has a solid circular cross section. If max. If the shaft is fixed at its ends A and B and subjected to a torque of 500 lbft, determine the maximum shear stress in the shaft. p. A drive shaft of a belt conveyor system transmits 12kW of power at a speed of 40 rpm. 4 times the outer diameter. If the allowable tensile stress of steel is 140 MPa, determine the required thickness of the pipe in mm. Determine the diameters of each segment so that each material will be simultaneously stressed to its permissible limit when a torque T = 12 kip·ft is applied. You could use that one if you decide to use an aluminum tube instead of a solid shaft. 40 41 Example: A 1. 5 kN. Knowing that12 mm the shearing stress must not exceed 180 MPa in the steel rod and 70 MPa in the aluminum plate, determine the largest load P that can be applied to the rod. Determine the required diameter of the shaft, knowing that the shaft is made of a steel with an allowable shearing stress of 90 MPa and a modulus of rigidity of 77. m. T. 6 R for the hollow shaft (a) for same T, compare their , , and W (b) determine the strength-to-weight ratio (a) ∵  = T R / Ip = T L / G Ip bolt has a diameter of 0. 5 times that in the slack side and the centre of the pulley over-hangs 150 mm beyond the centre line of the end bearing. 5–13. 5–14 is to be used to transmit 3750 W from the motor Mto which it is attached. 33, and torque T = 4. 5) MAE 314 Solid Mechanics Yun Jing. in. The shaft is made of structural steel of which yielding strength in shear is 125 MPa. 14 The solid rod AB has a diameter d = 60mm. Also, find the corresponding angle of twist of disk A relative to disk C. 5-8Aluminum tubed150 mmG27 GPaT4. 26 3016 N or 3. It is required that T1 act in the direction shown. The solid bronze core (G = 38 GPa) has a radius of 30 mm (I p = 1,272,000 mm 4). Find the necessary diameter of the shaft, if the allowable shear stress is 60 N/mm 2. If the shaft rotates at and the steel has an allowable shear stress of allow 100 MPa,determine the required diameter of the shaft to the nearest mm. Engineers often design using an ample safety factor, but consider modifying a shaft only with good engineering support. The allowable twist for every 20 diameters length of the shaft Take N=80N/mm 2. If the shaft is fixed and a vertical force of 200 N is applied perpendicular to the handle, determine the dimension d if the allowable shear stress for the key is τ allow = 35 MPa. To calculate the transverse shear stress we use the applied shear force (which can be obtained from a shear-moment diagram), the first moment of area and thickness of the region of The 60 mm diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of τ allow =80 MPa. 3 in. 5 in and CB has a diameter of 1 in. that can be used. It is coupled to a motor at C, which delivers 3 kW of power to the shaft while it is turning at 50 rev/s. taking allowable shear stress as 70 N/mm 2, find suitable diameter for the shaft, if the maximum torque transmitted at each revolution exceeds the mean torque by 30%. 0175) = 14. 016 kN A F In order to allow for the bending stress induced due to the compressibility of the rubber bush, the diameter of the pin (d 1) may be taken as 20 mm. Assume elastic behavior. 1-3. -diameter hole is bored through the shaft? Sketch the shear-stress distribution along a radial line in each case. T¿ tallow=12 ksi. 5–1. If the shaft is made hollow with internal diameter is 0. P-318. A solid aluminum shaft of 100-mm diameter fits concentrically in a hollow steel tube. Apr 13, 2015 · Relationship of torque and shaft size A rudimentary understanding of how shaft sizes are determined can be helpful to anyone who works with pumps, fans, elevators or any other motor-driven equipment. Allowable stresses are independent of shape, yes. The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of 60MPa. (a) If the shaft is loaded with a bending moment of 1. 5 ksi and the vibrations limit the angle of twist of the shaft to 0. 2. T T L A solid circular shaft 2 m long is to transmit 1000 kW at 600 rpm. , determine the maximum torque Tthat can be transmitted. Take c=1×10 5 N/mm 2. determine the largest torque t1 that can be applied to the shaft if it is also subjected to the other torsional loadings The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of tallow = 60 MPa. If the angle of twist is 0. 130. Maximum permissible shear stress is 50 Mpa and shear modulus 0. 05 m) and length 1 m. Determine the required diameter of the bolts if allowable shear stress for the bolts is τ allow = 110 Mpa Figure E1. 7 4. Singer & Andrew Pytel. (see figure). , a wall thickness of 0. Failure is by yielding and a factor of safety is 1. Solve problems with shafts of rectangular cross section. A shaft is transmitting 100 kW at 160 r. Determine the largest torque T1 that can be (b) If the maximum allowable shear strain is 0. 8 mm. It is clear, therefore, that if there is to be some limit set on the maximum allowable working stress in the shaft material then only the outer surface of the shaft will reach 1. determine the largest torque t1 that can be applied to the shaft if it is also subjected to the other torsional loadings Maximum Shear Stress : Applying the torsion formula Tc 1. [Ans. } Fsd Sections within d/2 from face of support can be designed for shear at d/2: A. If the angle of twist is same for each section, determine the length of each portion and the total angle of twist. If gear B supplies 15 kW of power, while Chapter 5: Torsion Example 5. The High Strength Carbon are selected for composite drive shaft which Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. (4 points) A hollow aluminum shaft with an outside diameter of 100 mm and a wall thickness of 5 mm has an allowable shear stress of 40 MPa. 1 N = τ pin A = 95. sallow = 165 MPa 30Њ45Њ B D P A C 01 Solutions 46060 5/6/10 2:43 PM Page 56 Chapter 1 Tension, Compression, and Shear another type of stress is called shear stress for a hollow circular tube of aluminum supports a compressive load of . Shear stress in it is not to exceed 80N/mm 2 , determine the max. 1: 3D modelMaterial properties. Find (a) the maximum tensile force that can be applied; (b) the maximum bending moment that can be applied; (c) the maximum tensile force and bending moment if the hole if there is no-hole. Also ASME Code states that for shaft made of a specified ASTM steel: Ss(allowable) = 30% of Sy but not over 18% of Sult for shafts without keyways. The stiffness of the closed coil helical spring at mean diameter 20 cm is made of 3 cm diameter rod and has Dec 19, 2019 · A solid steel shaft is subjected to a torque of 45KNm. 17) The solid shaft shown is formed of a brass for which the allowable shearing stress is 55 MPa. Find the percentage of saving in material. There is a 1250 N*m torque applied at point A. 2mm) 3. 5 A solid steel shaft AB is to be used to transmit 3750 W from the motor M to which it is attached. Determine the absolute maximum shear stress in the shaft and sketch th Answer to The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of tallow = 60 MPa. 2 GPa. In this study the mechanical properties of the propeller shaft are treated to be Isotropic, homogenous and linear elastic. For aluminum, the allowable shear stress and bearing stress are 30MPa The maximum shear stress at , , , (relative to the fixed end). 5° per metre length of the shaft and the shear stress is not to be allowed to exceed 90MN/m 2 nfind suitable diameter for the shaft final maximum shear stress and angle of twist. -diameter aluminum shaft with an allowable shear stress of 6,000 psi and a shear modulus of 4x10 6 psi . What is the minimum required length of the rod so that one end of the rod can be twisted 30° with respect to the other end without exceeding the allowable stress? d = 0. The same reference you used for the solid shaft has an equation for the hollow shaft. In this chapter, we will examine uniaxial bars subject to torque. P-316. 2. A solid shaft is subjected to a torque of 15 kNm. Determine to the nearest | in. 21 × 10−7 = 23. This translates to a solid bar being more slender than a hollow one. If gears A and B remove 1 kW and 2 kW, respectively, determine the maximum shear stress developed i the shaft within regions AB and BC. 6 of the external diameter, find the diameters of the shaft. Apply to a solid cylindrical shaft of Diam 25 x 200 mm. The pipe CD has an outer diameter of 90mm and a wall thickness of 6mm is made of aluminum for which the allowable shear stress is 54Mpa, determine the largest torque T that may be applied at A. 2 May 2013 The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of allow = 6 MPa. A compound shaft consists of brass segment (1) and aluminum segment (2). The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of tallow = 60 MPa. The pipe CD, which has an outer diameter of 90 mm and a wall thickness of 6 mm, is made of an aluminum for which the allowable shearing stress is 54 MPa. Each bolt has a diameter d. Strength of Materials 4th Ed. Allowable Shear The solid shaft has a diameter of 0. them here also because they illustrate the role of shearing stresses and drive shaft is a solid rod with a circular cross section and a diameter of d = 10 mm. A solid shaft is to transmit 500kw and 60rpm. If the angle of twist 0. Calculate the maximum torque that should be placed on it. Apr 07, 2020 · The magnitude of the shear stress becomes important when designing beams in bending that are thick or short – beams can and will fail in shear while bending. The allowable shear stress in the aluminum is 50 MPa, and the allowable normal strain is 900 X 10-6. (b) Determine the outside diameter required to give the same outer surface stress if a hollow shaft of inside diameter 0. Allowable Stress Design 13 Shear - Allowable Stress Design bd V fv Fv fm 50psi If steel is required: F d Vs Av Fv 3 fm 150psi smax min{d /2, 48in. 5 MPa - 90(0 8. The smooth bearings at A and B do not resist torque. Determine the maximum power that can be transmitted by the shaft at a speed of 100 rpm without exceeding Jul 18, 2014 · Stiffness has to do with the relation between stress and strain (Young's Modulus, E, which is also related to the Shear Modulus, G) and the geometry of the situation. A shaft 50 mm diameter and 0. (Ans: 132mm, 79. Q13: Determine the diameter of a solid shaft which transmits 300kW of power @ 250rpm. The maximum allowable stress in the brass rod, AB, is 50 MPa and the maximum allowable stress in the aluminum rod, BC, is 25 MPa. asked by jon smith on January 3, 2011; Physics MCQ 5. Example SOLUTION: • Cut sections through shafts AB and BC and perform static equilibrium analysis to find torque loadings A hollow circular shaft has an outer diameter of100mm$$and inner diameter of$$50mm. Shaft design includes the determination of shaft diameter having the strength and rigidity to transmit motor A moment of 1000 Nm is acting on a solid cylinder shaft with diameter 50 mm (0. 9 ME111 Lecture 16 2 11/8/00 ME111 Lecture 16 3 Problem 5 A 50 mm diameter shaft has a circumferential surface crack as shown below, with crack depth a = 5 mm. Assume Poisson’s ratio µ = 1/3 and the modulus of elasticity of aluminum E be 70 GPa. The assembly is fixed to a wall by two steel bolts of 10 mm diameter. maximum shear stress of st37 can be offered by us, we have maximum shear The allowable stresses in bending and shear are 10 MPa and , maximum Solved: The Solid Aluminum Shaft Has A Diameter Of 50 Mm , maximum shear stress  1 May 2019 A hallow shaft has an inner diameter of 0. Pb. Problem 317 A hollow bronze shaft of 3 in. 5 in. Torsion's Previous Year Questions with solutions of Strength of Materials Or Solid Mechanics from GATE CE subject wise and chapter wise with solutions Using the standard formulas for circular shafts, determine the maximum moment that can be applied without exceeding a shear stress of 250 MPa. 150 mm is required for the shaft if its shear stress is not to exceed 70 MPa. 053*) Average Shear Strength of Materials Homework 3 3 5. A solid steel shaft is loaded as shown in figure. 83 A 16-m-long tubular steel shaft (G = 772 GPa) of 42-mm outer diameter and 30-mrn inner diameter is to transmit 120 kW between a turbine and a generator. A steel shaft consists of a hollow shaft 2m long, with an outside diameter of 100 mm and an inside diameter of 70 mm, rigidly attached to a solid shaft of 1. Fig. = 15001b. Determine the diameter of a solid shaft which will transmit 300 KN at 250 rpm. Solution: The torque on the shaft is Since (ii) Shear stress 2(11. Answer to: The solid aluminum shaft has a diameter of 50 mm. Galuminum = 4(106 psi. 69 Nm). 500 lb. For the loading shown, determine (a) the minimum and maximum shearing stress in shaft BC, (b) the required diameter d of shafts AB and CD if the allowable shearing stress in these shafts is 65 MPa. i. Taking allowable shear stress as 70 MPa, find the suitable diameter of the shaft. If you are asking about the shaft which can resist the torsion load more with the same resisting area (same weight), than the answer should be Hollow shaft. 1810 mm A load P is applied to a steel rod supported as shown by an aluminum 8 mm plate into which a 12-mm-diameter hole has been drilled. g. 5in and CB has a diameter of 1 in. If it is subjected to the applied torques as shown, determine the absolute maximum shear stress developed in the shaft. 200 mm Determine the average shear stress in the 20-mm-diameter pin The built-up shaft consists of a pipe AB and solid allowable tensile stress for the aluminum is s allow = 150 MPa. What is the tensile strength of aluminum if beam length= 9. The solid 30-mm-diameter shaft is used to transmit the torques applied to the gears. For aluminum, the allowable shear stress and bearing stress are 30MPa Thus, the maximum shear stress will occur either in the web of maximum shear flow or minimum thickness Also constructions in soil can fail due to shear; e. Determine the required diameter of the shaft to the nearest mm. Where does this occur? Transmission Shaft Force Couples Torsion: Shear Stress & Twist Torsion of Circular Shafts. and an allowable shear stress of 6,000 psi. Determine the maximum torque that can be applied to the composite shaft without exceeding either allowable stress limit. Shear stress arises from the force vector component parallel to the cross section of the material. A solid aluminum shaft 2 in. 17 Nov 2017 Find an answer to your question The solid aluminum shaft has a diameter of 50mm and an allowable shear stress of 60 mpa. Segment (2) is a solid aluminum shaft with an outside diameter of 0. (a) Determine the lar Allowable Shear Stress: Applying the torsion formula. 01S 0. Knowing that the average normal stress must not exceed 140 Mpa in either rod, determine the smallest allowable 2. If the shaft diameter is 50mm * 120mm long, calculate a)The shear stress in the shaft. You need to look at where it failed and what the stress concentration is there. 5 L= 900mm Fig. If the shaft is fixed at its ends Aand Band subjected to a uniform distributed torque of 60lb. Determine the absolute maximum shear stress in the shaft and sketch the shear-stress ASME Code states that for shaft made of a specified ASTM steel: Ss(allowable) = 30% of Sy but not over 18% of Sult for shafts without keyways. 6 Calculate the force needed to shear a pin 8 mm diameter given that the ultimate shear stress is 60 MPa. Determine the diameter of the shaft, if the allowable shear stress is 56 MPa and the pulley weighs 1600 N. Bar is in pure torsion Apr 13, 2015 · Relationship of torque and shaft size A rudimentary understanding of how shaft sizes are determined can be helpful to anyone who works with pumps, fans, elevators or any other motor-driven equipment. 76 mm. If the torque T 180 N m and the allowable angle of twist is 0. 2100 lb. respectively, BC is solid and 80 mm diameter. 0 kN · m. The maximum shear stress should not exceed 30 N/mm2 and twist should not be more than 10 in a shaft length 2m. An aluminum tube has inside diameter d x = 50 mm, shear modulus of elasticity G = 27 GPa, v = 0. 75 GPa. Determine the maximum allowable internal pressure p allow based upon an allowable shear stress of 6500psi in the wall of the vessel. 7 A x 30 x 3 282. If the tubular shaft is made from material having an allowable shear stress of determine the required minimum wall thickness of the shaft to the nearest millimeter. 8 m C B A 1200 N m 2 kN m/m 05 Solutions 46060 5/25/10 3:53 PM Page 229 A solid steel shaft AB shown in Fig. The shaft is made in steel with modulus of rigidity 79 GPa (79 10 9 Pa) . d = diameter of the shaft = 50 mm Number of pins (n) = 6 The length of the pin of least diameter d 1 = 20 mm is threaded and secured in the right hand coupling half by a standard nut and washer. For aluminum, the allowable shear stress and bearing stress are 30MPa the shaft passes through the 53-mm diameter hole in the fixed support A, determine the bearing stress acting on the collar C. and is made of steel for which the allowable shearing stress is 85MPa. Cylinder in Torsion FEA. Determine the maximum permissible value of T subject to the following conditions: τ st ≤ 83 MPa, τ al ≤ 55 MPa, and the angle of rotation of the free end is limited to 6°. The outside diameter of the bar is 50mm and modulus of elasticity of the material is 70x103Mpa. 50mmit has 20mm internal diameter for a part of length and 30 mm internal diameter for rest of length. P-311. For aluminum, the allowable shear stress and bearing stress are 30 MPa and 60 Knowing that each portion of the shaft AD consists of a solid circular rod , at this torque, what would be the angle of twist of end A with respect to B? G  Determine the average shear stress in the 20-mm-diameter pin at A and the 30- mm- diameter of 20 mm, and BD is made of aluminum and has a diameter of 40 mm. Compare results. 6-m long tubular steel shaft (G = 77 GPa) of 42 mm outer diameter d1 and 30 mm inner diameter d2 is to transmit 120 kW between A 50mm wide , 5mm high rectangular plate has a 5mm diameter central hole. and an allowable shear stress of 9,000 psi. by Ferdinand L. It has been shown above that the maximum shear stress in a solid shaft is developed in the outer surface, values at other radii decreasing linearly to zero at the centre. They are of the same length and are both made of the same material, which implies that the maximum allowable shear stress \tau_{max} is the same in both shafts. Nov 29, 2010 · TCD = 0. The engine of the helicopter is delivering 600 hp to the rotor shaft AB when the blade is rotating at 1200 rev/min. Set T-1 = 2000 N middot m. The solid aluminum shaft shown in the figure below has a diameter of 50 mm and an allowable shear stress of τ allow = 6 MPa. Wsolid Asolid d0 2/4 the hollow shaft has 14% greater in diameter but 53% less in weight Example 3-3 a hollow shaft and a solid shaft has same material, same length, same outer radius R, and ri = 0. attached to a solid shaft of 1. The solid 50-mm-diameter shaft is used to transmit 250 N⭈m the torques applied to The two 3-ft-long shafts are made of 2014-T6 A aluminum. 8 A 1. Find the diameter of the axle between wheels if the stress is not to exceed 100Mpa. A solid circular shaft is subject to a bending moment of 2500Nm and a torque of Aug 24, 2014 · 1. 138. f c• = I (o•t>lq)f = »o a-» 1 y,, o- 1 A steel tube having an outer diameter of 50mm is used to transmit 25 kW when turning at 2700 rev/min. A spherical pressure vessel 400-mm in diameter has a uniform thickness of 6 mm. (6 points) A solid constant-diameter shaft is subjected to the torques shown. 2-m-long solid transmission shaft require that the angle of twist of the shaft not exceed 4q when a torque of 750 N m is applied. Knowing that the average normal stress must not exceed 140 Mpa in either rod, determine the smallest allowable and the pipe are made of steel for which the allowable shear stress is 75Mpa; determine the largest torque T that may be applied at A. 8. 62 ksi 600 lb. Determine the maximum torque T that may be applied to the shaft. A shaft is made of solid round bar 30 mm diameter and 0. CD is also solid and 70 mm diameter. Compare the result above with an FEA calculation. Take G = 80 GPa. Problem 5-20 The 60-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings shown. For bronze, G = 6 × 10 6 psi and for steel, G = 12 × 10 6 psi. 100 mm. 5 KN C D 𝜏 𝐶𝐷 = 500 × 0. 033 𝑀𝑃𝑎 Problem Number (3. Gsteel = 12(106 psi Determine the maximum bending moment in the beam. Also, determine the maximum shear stress within regions CD and DE. Of course reason has to be applied as well, a hollow pipe with a wall the thickness of a hair would buckle faster due to buckling of its wall. 0-41 The solid shaft is used to transmit the torques shown. 8 The solid spindle AB has a diameter d, = 38 mm and is made of a steel with an allowable shearing stress of 84 MPa, while sleeve CD is made of a brass with an allowable shearing stress of 50 MPa. 32 × 10− 6rad11Problem 3. and an inner diameter of 1 in. Also, what is the average shear stress acting along the inside surface of the collar where it is fixed connected to the 52-mm diameter shaft? 52 mm 30 kN Bearing Slrest : 40 mm 30O03) A J(0. 751(12)(0. $$If the allowable shear stress is$$125MPa$$, the maximum torque The 60 mm diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of τ allow =80 MPa. Neglecting the effect of stress concentrations, determine the smallest diameter dAB and dBC for which the allowable shearing stress is not exceeded. Nov 18, 2014 · The power transmitted from one shaft two other shafts by means of a key and a sleeve. Consider a solid shaft with outer radius of 60 mm and hollow shaft of the same outer diameter but with an inside radius of 40 mm. small airplane. Calculate the following. Also, find the corresponding angle of twist of disk A relative to disk C . If the allowable shear stress of the material is 140MPa, assuming a factor of safety of 2, the minimum allowable design diameter is mm is (A) 8 (B) 16 Segment (1) is a solid brass shaft with an allowable shear stress of 69 MPa. That's the short response. This compound shaft is then loaded as shown. 60 mm] 11. 75 in, beamwidth = 0. 5 m length and. The cross-sectional area of a 25-mm-diameter pin is: p = Apin = (25 mm) 2 490. National University of Science and Technology length and limiting shear stress. If the allowable shear stress of the material is 140MPa, assuming a factor of safety of 2, the minimum allowable design diameter is mm is (A) 8 (B) 16 Solid Rigid Shaft to Shaft Couplings Design Equations and Calculator. 25<) = 856 psi Ans 5-^5. 5 degrees per meter length of the shaft and the shear stress is not to be allowed to exceed 90 MN/m2, find (i) suitable diameter for the shaft (ii) Find maximum shear stress, and (iii) maximum shear strain in the shaft. 875 in. Determine the minimum internal diameter of the steel tube so that no contact pressure exists when the aluminum shaft carries an axial compressive load of 600 kN. Also, determine the maximum shear stress within regions CD and DE. Solid Rigid Shaft to Shaft Couplings Design Equations and Calculator. May 14, 2018 · The torsional shear stress of the material; Let’s take a sample problem to calculate the shaft diameter from the torque. of 400 mm and a wall thickness of 50 mm, determine the amount of axial transmitted (a) by the shaft as designed, (b) by a solid shaft of the same weight, diameter of the shaft or the internal torque varies along the length of the the shear stress varies linearly with the radial distance ρ from formulas are applicable only to circular shafts, either solid or hollow. Example 11. Problem: A shaft is transmitting 200 kW at 1200RPM. -Suitable diameter for the shaft if bars are available with diameters in increments of 10 mm. Nov 17, 2016 · A T section of flange 120mm X12 mm and overall depth 200mm with 12mm web thickness is loaded such a way that at a section it has a moment of 20KN and shear force of 120KN. 01; 131. 500 mm. b)The angle of twist if modulus of rigidity =80 GN/m2 c)If the shear stress is . The shear stress must not exceed 150 MPa. Solution 310 Problem 311 An aluminum shaft with a constant diameter of 50 mm is loaded by torques applied to gears attached to it as shown in Fig. Determine the maximum load P that can be applied to the member if the allowable shear stress for the bolts is τ allow = 12 ksi and the allowable average normal stress is σ allow = 20 ksi. Take C = 80 GPa. 16 kN m. This puts more of the material under stress and reduces weight. Bending: Design for Strength, Stiffness and Stress Concentrations7/6/99 2 this would normally be a bound upon deflection v like . Outer diameter of sleeve D=2d+13mm Length of sleeve L=3. 024 5. Determine the shear stress at points A and B, and sketch the shear stress on volume elements located at these points. τ = T r / J (1) where τ = shear stress (Pa, psi) T = twisting moment (Nm, in lb) r = distance from center to stressed surface in the given position (m, in) J = Polar Moment of Inertia of Area (m4, in4) Diameter of a Solid Shaft Diameter of a solid shaft can calculated by the formula D = 1. The diameter at the smaller end of the bar is d A 25 mm and the length is L 300 mm. 75 deg/m; G = 78 GPa; Design Options: Solid circular shaft cross-section of diameter d; Hollow circular shaft with outer diameter d 2 and wall thickness of 10% d 2 The steel shaft is made from two segments: AC has a diameter of 0. If the attached aluminum tube has an inner diameter of 25 mm and a wall thickness of 5 mm, determine the maximum shear stress in the tube when the cable force of 600 N is applied to the cables. 5 m length and 70 mm diameter. A hollow aluminum shaft and a solid steel shaft are rigidly connected at each end. , the weight of an earth-filled dam or dike may cause the subsoil to collapse, like a small landslide . 5 stress distribution over the cross section. A hollow circular shaft has an outer diameter of$$100mm$$and inner diameter of$$50mm. What is a coupling and requirement of a good coupling. 3) The solid aluminum shaft has a diameter of 50 mm. 4 Power Transmission 5 Power Transmission Example 4. Determine the magnitude of the largest P PROBLEM 1. Jan 16, 2018 · Two solid cylindrical rod, AB and BC are welded together at B and loaded as shown. Schematic and Given Data: 2. 7 m long is subjected to a torque of 1200 Nm. -diameter aluminum segment. 5m in diameter is required to carry an internal pressure of 750 kPa. Take maximum allowable shear stress as 70 MPa. Determine the magnitude of the largest 1. Find a suitable diameter for the shaft, if the maximum torque transmitted exceeds the mean by 25%. Note that the shaft is fixed at E. Determine the maximum shearing stress in each material and the angle of twist of the free end. If the shear stress is not to exceed 60MPa and internal diameter is 0. Determine the inner diameter d of the tube to the nearest 0. Strength of Materials Homework 3 3 5. It carries a central load of 900 N and is simply supported between the bearings 2. 25) *(0. 6-m long tubular steel shaft (G = 77 GPa) of 42 mm outer Chapter 1 Tension, Compression, and Shear another type of stress is called shear stress for a hollow circular tube of aluminum supports a compressive load of . 75 m long, and the aluminum has shear modulus G (b) What diameter d is required for a solid shaft (see figure) to resist the same torque. The bearings shown allow the shaft to turn freely. A solid steel shaft is subjected to a torque of 45 kN-m. Using G = 83 GPa, determine the required diameter of the shaft if the shearing stress is limited to 60 MPa and the angle of rotation at the free end is not to exceed 4 deg. Jun 19, 2014 · Problem 310 Show that the hollow circular shaft whose inner diameter is half the outer diameter has a torsional strength equal to 15/16 of that of a solid shaft of the same outside diameter. 14. A solid steel shaft has to transmit 100kW at 160 r. r n is the number of bolts and F is the shear force in each bolt. Torsion: Shear Stress & Twist Torsion of Circular Shafts. Sample Problem to calculate the shaft diameter from the torque. A solid circular shaft is subject to a bending moment of 3000Nm and a torque of 10000Nm, the shaft is C45 steel having ultimate strength of 700Mpa a ultimate shear stress of 500Mpa. Set T1=2000 N⋅mT1=2000 N⋅m. in diameter and of the same length as the hollow shaft. The allowable shear stress in the steel is 40 ksi and the shear modulus of elasticity is 11,600 ksi. inner diameter is slipped over a solid steel shaft 2 in. The solid aluminum shaft has a diameter of 50 mm. 45° by 50 mm. Sep 09, 2006 · Note also that drive shafts are often hollow tubes. If you see the shear stress diagram of a shaft on application of torque it would look like 1. 10. Outside diameter of hollow shaft = Outside diameter of solid shaft doh = 100mm,dih= 50mm K=dih/doh=0. 8739 mm 2 4 Pin A is a single shear connection; therefore, its average shear stress is 47,073. A composite shaft 3 ft in length is constructed by assembling an aluminum rod, 2 in. Maximum shear stress can be calculated as 8 The solid spindle AB has a diameter d, = 38 mm and is made of a steel with an allowable shearing stress of 84 MPa, while sleeve CD is made of a brass with an allowable shearing stress of 50 MPa. Oct 14, 2012 · The maximum shear stress is limited to 60N/mm 2. 12 ; C. 1 mm if the allowable shear stress is allow = 70MPa 20 4. power transmitted by it at a speed of 300 rpm. 15in. 6. The allowable shear stress inthe aluminum is 50 MPa and the allowable normal Solution 3. Determine the average shear stress in the pin at B if it has a diameter of 20 mm Determine the diameter of rod AD if the allowable tensile stress for the D-33 The cylinder is made from steel and has an aluminum core. 90<0. A steel pipe 1. The pipe CD has an outer In this work, one-piece automotive hybrid aluminum/composite drive shaft was developed with a new manufacturing method, in which a carbon fiber epoxy composite layer was co-cured on the inner surface of an aluminum tube rather than wrapping on the outer surface to prevent the composite layer from being damaged by external impact and absorption It has been shown above that the maximum shear stress in a solid shaft is developed in the outer surface, values at other radii decreasing linearly to zero at the centre. 5 The cylinder has inner radius r = 2. G st =10. The shaft is not to twist more than 1° in a length of 3 metres. Segment (2) is a solid aluminum shaft with an allowable shear stress of 86 MPa. The solid shaft is made of material that has an allowable shear stress of tallow 10 MPa. 5 metres apart. The shaft is made of 18-Ni maragingsteel ( ). University. Although less likely, a maxi-mum slope could be specified instead. Solution The stresses on the wall of the pressure vessel are caused by a combined action of the internal pressure and the axial force. 375 in. 14 What is the minimum required diameter of a solid circular shaft 8 ft long that must transmit of torque of 2,500 ft-lb without exceeding an allowable angle of twist of 5 degrees AND an allowable shear stress of 21 ksi? Allowable Stress Design 13 Shear - Allowable Stress Design bd V fv Fv fm 50psi If steel is required: F d Vs Av Fv 3 fm 150psi smax min{d /2, 48in. 15 25 A  Determine the absolute maximum shear stress in the shaft and plot a graph of the 5-6: The solid aluminum shaft has a diameter of 50 mm and an allowable s. For the shaft material, the modulus of rigidity is 80 GPa. The two shafts are then fastened rigidly together at their ends. 82 x 10 5 MPa 5. 05 rad. The shaft has an outer diameter of 1. The solid steel shaft AC has a diameter of 25 mm and is supported by smooth bearings at D and E. SOLUTION so F x A 60 x 50. Ans. the solid aluminum shaft has a diameter of 50mm and an allowable shear stress of

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