Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 235 MPa. If the shaft diameter is doubled then the maximum shear (in MPa) developed corresponding to the same torque will be
Q: If a drive shaft with a shear modulus 120GN/m² and a length of 0.45m is to be subjected to a torque.…
A:
Q: according to Maximum Shear Stress theory ,Calculate the factor of safety of the shaft When it is…
A: Given data: τ=60 MPaσy=300 MPa Need to determine the factor of safety.
Q: When a circular rod of diameter 10 cm and length 10 m is subjected to torque of 10 kN-m. Then angle…
A:
Q: A solid shaft having a diameter of 100mm has an allowable shearing stress of 80 MPa. Determine the…
A:
Q: diameter solid steel cylinder in which a 7 mm diameter hole has been drilled from end B up to point…
A:
Q: The torque transmitted by a solid shaft of diameter 10 mm and shear stress 75 MPa Select one: a.…
A: Given data: Diameter of the solid shaft, D= 10mm Shear stress, s=75MPa=75N/mm2
Q: You are given two shafts of equal lengths and made from the same material: a hollow shaft, with an…
A:
Q: A steel tube with outer and inner diameters are 86mm and 52mm respectively is twisted by torques at…
A:
Q: Explain the significance of understanding the effects of applying a torsional loading to a long…
A: EXPLANATION: The torsional strain on a circular cross-section causes the cross-section to twist…
Q: A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters respectively equal…
A: Given data as per question L=1.5 mDi=40 mmDo=60 mmAllowable shear stress =120 Mpa
Q: A hollow shaft is to transmit 300 kW at 80 r.p.m. If the shear stress is not to exceed 60 MN/mm²…
A: Given that , P=300kW N=80 rpm Maximum shear stress = 60MN/mm2 internal diameter = 0.6 × external…
Q: Referring to Figure Qla, assuming a hollow cylindrical block at the mid-section of the femur with an…
A:
Q: A rectangular key is used in a pulley connected to a line shaft at 15 kW and 600 rpm. If shearing of…
A: Given:P=15 kWN=600 rpmζ=230 MPaw=d4l=1 in =0.0254 m
Q: " A thick steel cylinder which has an inside diameter of 1m is subjected to an internal pressure of…
A:
Q: A hollow steel shaft is to transmit 5,605 N·m of torque and is to be sized so that the torsional…
A:
Q: A solid circular shaft of 35 mm diameter transmits a torque of 1460 Nm. The value of maximum shear…
A: Diameter of solid circular shaft, d = 35mm Torque transmitted, T = 1460 Nm or 1460000 Nmm
Q: A solid shaft transmits 1.7 kW of power at 4.4 Hz. What is the smallest safe diameter of the shaft…
A: The expression to calculate the maximum shear stress is…
Q: A hollow steel shaft with an outside diameter of 80 mm and a wall thickness of 11 mm is subjected to…
A:
Q: A hollow aluminum rod has a max shear stress of 0.075 GPa. What is the maximum torque that can be…
A: Given: The maximum shear stress is τ=0.075 GPa. The outer diameter is D=0.8 m. The thickness is t=5…
Q: A solid circular shaft will be 2 m long, and its diameter is to be determined. It is made of steel…
A: When a solid shaft having diameter 'd' and shear modulus 'G' is subjected to pure torsional moment…
Q: A steel tube of outer diameter 86mm and inner diameter 52mm is under pure torsion. The diameter of a…
A: Outer diameter = 86 mm Inner diameter = 52 mm Answer is (B) 81.98 mm
Q: A hollow cylindrical steel shaft is 1.5m long and has inner and outer diameters respectively equal…
A:
Q: aft with a hollow cross section is subjected to torque of magnitude T = 5.5 kN-m. If the outer…
A: Given:T=5.5 kN.mdo=0.1 mt=10 mm
Q: A solid circular steel shaft having an outside diameter of 2.00 in. is subjected to a pure torque of…
A:
Q: A solid steel shaft, 1.5 feet in diameter and 30 feet long, is rotating at 50 RPM and transmits a…
A: Formulae for the Power in terms of Torque and rpm is, Power in HP=2πNT60x 746 where Torque 'T' is in…
Q: If a twisting moment of 10,000 lb-in is impressed upon a 1 and 3/4 inch diameter shaft, what is the…
A:
Q: Derive a relation for the shear stress developed in a shaft, when it is subjected to torsion.
A: Torsion: Twisting moment is called as torsion. The twisting moment is nothing but the applied torque…
Q: A torque of 2.5 kN.m is applied to the hollow, thin- walled, aluminium section shown in Fig. 3.18.…
A: As illustrated in the picture in the question, a torque of 2.5 kN.m is given to the hollow,…
Q: mild steel shaft of 50 mm diameter is subjected to a bending moment of 2000 N-m and a torque T. If…
A:
Q: A shaft with a hollow cross section is subjected to torque of magnitude T = 5.5 kN-m. If the outer…
A:
Q: Calculate the maximum and minimum shear stress in a hollow circular shaft of outer diameter 20 mm…
A: Given data T=92.7 N-mD=20 mmt=2 mmd=16 mm
Q: 4. A hollow shaft with outside diameter of 98mm if it is subjected to a maximum torque of 5758N-m.…
A:
Q: Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240…
A: Given data: - The maximum shear stress on the circular shaft is τ = 240 MPa.
Q: 4) Shafts with lengths 5m and4 m are connected by gears. The diameter and shear modulus for both…
A: Given, Shaft lengths , 4m and 5m. Diameter of the shafts , d= 10cm Shear modulus of the shaft ,…
Q: Read the question carefully and give me all right solutions. Internal torque at rod 1 (kip-ft)…
A:
Q: Q. 7: Two shafts of same material and same length are subjected to same torque. If the first shaft…
A: Given data: dh=34DH Need to compare the weight of two shafts.
Q: B) Estimate the minimum shaft diameter according to the maximum shear stress theory for a shaft…
A:
Q: Engineering Mechanics problem. A solid circular steel shaft having an outside diameter of D = 0.75…
A:
Q: according to Maximum Shear strain energy theory ,Calculate the factor of safety of the shaft When it…
A:
Q: The transmitted torque of a hollow shaft is 3400 N-m at a shearing stress of 55 MPa. If the outside…
A:
Q: Derive an expression for an equivalent torque Te that, if applied alone to a solid bar with a…
A: Let us assume shaft is having diameter, d Case(a) shaft is subjected to M & T σbending=32Mπd3,…
Q: A solid and a hollow shaft are made of same material. The diameter of the solid shaft is 300 mm and…
A:
Q: A thin-walled tube having a semi circular shape has an outside diameter of 50 mm and a wall…
A:
Q: A solid rotating shaft of 5.08 cm in diameter and 0.914 m in length has a central load of 362.87 kg…
A:
Q: A motor drives 50 hp to a shafting 1 1/2 in. diameter and 3 ft. long. If the maximum shearing stress…
A:
Step by step
Solved in 2 steps with 2 images
- A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a concentrated torque 4000 kip-in. at x = 3 ft, and a uniformly distributed torque t0= 50 kip-ft/ft is applied on pipe BC. Let G = 11,800 ksi and assume that pipes AB and BC have the same inner diameter, d = 12 in. Pipe AB has a thickness tAB= 3/4 in., and pipe BC has a thickness tBC= 5/8 in. Find the reactive torques at A and C and the maximum shear stresses in each segment.A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?
- The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?A thin-walled aluminum tube of rectangular cross section (sec fig me) has a centerline dimensions b = 6.0 in. and b = 4.0 in. The wall thickness t is constant and equal to 0.25 in. Determine the shear stress in the tube due to a torque T = 15 kip-in. Determine the angle of twist (in degrees) if the length L of the tube is 50 in. and the shear modulus G is 4.0 x 106 psi.
- A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed torque t1acting aver segment 1 and concentrated torque t2applied at C, as shown in the figure. Segment 1 of the shaft has a diameter of d1= 57 mm and length of L1= 0.75 m; segment 2 has a diameter d2— 44 mm and length L2= 0.5 m. Torque intensity /,"= 3100 N . m/m and T2= 1100 N. m. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: .x = L1/2 and at .x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams.
- The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240 MPa. If the shaft diameter is doubled then the maximum shear stress developed corresponding to the same torque will beThe steel alloy shaft having a diameter of 38 mm is used to transmit torque, T as shown in Figure Q2(c ). If the allowable shear stress of the shaft is 81kPa (i) Determine the maximum torque T that can be transmitted by the shaft. (ii) What would be the maximum torque T' if a 25 mm diameter hole is bored through the shaft? (iii) Sketch the shear-stress distribution along a radial line in each case. T T' Figure Q2(c)