A 1 m length of 50 mm diameter steel bar is subjected to a torque  of 230 Nm.  Calculate the maximum shear stress exerted on the bar.  Assume a Young’s modulus  of 210 GPa and a Poisson's ratio of  0.3.

A solid 2 inch diameter bar is experiencing a torque of 3000 in-lb. The material of the bar has a yield strength of 36 ksi. What is the torsional shear stress in the shaft? What is the factor of safety if using von-Mises stress? What is the factor of safety if using Tresca Stress?

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A rod specimen of ductile cast iron was tested in a torsion-testing machine. The rod diameter was 16 mm, and the rod length was 360 mm. When the applied torque reached 254.8 N-m, a shear strain of 1780 microradians was measured in the specimen. What was the angle of twist in the specimen? Part 1 Calculate the shear stress in the specimen. Correct Answer: T= 316.97 eTextbook and Media Part 2 Correct Use Hooke's Law to calculate the shear modulus of the specimen. answer: G= 178073.034 Part 3 eTextbook and Media Incorrect MPa Answer: Calculate the angle of twist in the specimen. D=0.8006 MPa O Attempts: 1 of 5 used Attempts: 1 of 5 used

A 500 mm long rotating shaft has a groove in the middle and carries a 2 kN transverse force at section C as shown. The shaft is made of a high carbon steel with a yield strength of 965 MPa and an ultimate tensile strength of 965 MPa (140 ksi). The bearings at the shaft ends that can be modeled as simple supports. The shaft has a machined surface finish. Determine the: (a) Fully corrected endurance limit for this shaft. (b) Fatigue strength for this shaft at a life of 250,000 rotations. (c) Fatigue stress concentration factor for the groove at section B. (d) Infinite life fatigue factor of safety at section B. (e) Infinite life fatigue factor of safety at section C. (f) Finite life fatigue factor of safety at section B for a life of 250,000 rotations. (g) Finite life fatigue factor of safety at section C for a life of 250,000 rotations. Assume a reliability of 50% and no temperature effects. 40 points 2.0 kN r= 2.5 mm. 25 mm 27.5 mm 250 mm 180 mm A В C 70 mm Answers (а) Sn (MPa) (b)…

(30%) A circular aluminum tube subjected to T pure torsion by torques T has an outer radius r2 equal to 2 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 500x10-6 rad, what is the shear strain y1 at the inner surface? (b) If the maximum allowable rate of twist (0) is 0.15°/m and the maximum shear strain is to be kept at 500x10-6 rad by adjusting the torque T, what is the minimum required outer radius (r2 )min?

A square key fixing a gear on a 30 mm diameter shaft. The shaft is transmitting a power of 18 kW to the gear at 800 rpm. The key is made of steel with a yield strength of 470 N/mm² and the factor of safety is 2.5. The yield strength of the key material in compression can be assumed to be equal to the yield strength in tension. Determine the dimensions of the key.

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A specimen of copper having a rectangular cross section of 15.2mm x 19.1mm is pulled with a force of 44.5kN. Calculate the stress in MPa. Provide your answer to 2 decimal places. Answer: 0 0 Vũ Vũ (DE) + TI a W