A solid steel post having a length of 3m and a diameter of 80 mm is subjected to pure torsion. a. What is the torsional rigidity of the post if the shear modulus of elasticity is 80 GPa? b. Determine the torsional stiffness of the steel post. c. Determine the maximum shear stress in the steel post if it is subjected to a torque of 612 N-m.

A solid steel post having a length of 3m and a diameter of 80 mm is subjected to pure torsion. a. What is the torsional rigidity of the post if the shear modulus of elasticity is 80 GPa? b. Determine the torsional stiffness of the steel post. c. Determine the maximum shear stress in the steel post if it is subjected to a torque of 612 N-m.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.8.10P: A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a...

See similar textbooks

Similar questions

. A steel shaft 35 mm in diameter and 1.2 m long held rigidly at one end has a hand wheel 500 mm in diameter keyed to the other end. The modulus of rigidity of steel is 80 GPa. 1. What load applied to tangent to the rim of the wheel produce a torsional shear of 60 MPa? 2. How many degrees will the wheel turn when this load is applied?
4. As shown below, the prosthesis is made of two parts a core (Ge=150 ksi) and a tube (G=85 ksi). The prostheses is under torsional torque of 15 lbf.in due to foot movement. a) Determine the maximum torsional stresses in the core and tube. b) Determine the angle of twist 15 Ibf.in 15 lbf.in 15in Diameter 1.5 in Diameter 1in 15 Ibf.in (Answer: a)t, = 23.13 psi; t = 19.67 psi b) = 0.0046 rad)
Solid steel post subjecting torsion. Given that the diameter is 75.05 mm, length is 2.5.05 m and modulus of elasticity of shear is 78.08 GPa. 1. What is torsional rigidity? 2. What is torsional stiffness? 3. What is maximum shear stress in MPa given torques is 540 N-m.
The maximum torsional shear stress of a shaft with diameter D can be found at what distance from the center of the shaft?
2: If the permissible shear stress of a solid shaft is of 70MPa, the torque angle between two cross sections separated 2.5m does not exceed 3°, the applied torque is of 1400N.m and G=11Gpa a. Determine the required diameter in function of the shear stress b. Determine the required diameter in function of the angle of twist
1. A solid cylindrical rod is made of brass (G = 39 GPa); the rod has a diameter of 42 mm and is 750 mm long. The maximum allowable shear stress is 55 MPa and the twist cannot exceed 4° degrees. Determine the maximum allowable torque that can be applied. (Hint: check both conditions.) Ans. T= 800 Nm
Bearing stress 4. Please provide proper discussion and illustration also complete solution and clear solution please thank you Determine the length of a square key to be used for a 3.73 kW, 1800 rpm electric motor if the motor shaft diameter is 35 mm and the width of the key is approximately one-fourth of the shaft diameter. The allowable shearing stress on the key is 2.45 MPa
4. What length of a square key is required for a 4-in diameter shaft transmitting 1000 hp at 1000 RPM? The allowable shear and compressive stresses in the key are 15 ksi and 30 ksi, respectively.
1. A solid bar of circular cross section has a diameter of 40mm and length of 1300mm. G=80GPa and torque applied at both ends is 340 N.m. Determine the maximum shear stress in MPa. I need the answer asap pls
Torsional T is applied to the hollow axis (G=80 GPa). Ewha Womans University, the maximum shear strain is γmax = 640 × 10-6rad Igo, inside andThe outside diameters are 120mm and 150mm, respectively.a. What is the maximum axial strain?b. Maximum axial stress?c. What is the maximum torque (T) meeting the above conditions?
A drill rod with a diameter of 12 mm is made of high-strength steel alloy with a shear modulus of 80 GPa. The rod is to be subjected to a torque T. What is the minimum required length L of the rod so that the cross section at one end can be rotated 90⁰ with respect to the other end without exceeding an allowable shear stress of 300 MPa?
mechanics of rigid bodies The shaft assembly is made from a steel tube 1 in. in diameter, which is bonded to a solid brass core 0.5 in. in diameter. If a torque of 250 lb-ft is applied at its end, determine the maximum shear stress in psi experienced by the assembly. Take G for steel at 11.4x103 ksi and G brass at 5.2 x 103 ksi. with diagram if necessary.