Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 10.7, Problem 83P
If the yield stress for steel is σY = 36 ksi, determine if yielding occurs using the maximum distortion energy theory.
10−83. Solve Prob.10−82 using the maximum shear stress theory.
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If the material is machine steel having a yield stress of sY = 750 MPa, determine the factor of safety with respect to yielding using the maximum distortion energy theory.
If sY = 50 ksi, determine the factor of safety for this loading against yielding based on (a) the maximum shear stress theory and (b) the maximum distortion energy theory.
Chapter 10 Solutions
Mechanics of Materials
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Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
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- Bar of steel, (yield strenght Sy = 462 MPa) is subjected to the following stresses; σx = 171 MPa , σy = -144 MPa , τxy = 175 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.arrow_forwardA ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion- energy and maximum-shear-stress theories, determine the factors of safety with the following principal stresses. σA = 90 MPa, and oß = -98 MPa The factor of safety from the maximum-shear-stress theory is " and the factor of safety from the distortion-energy theory isarrow_forwardIf the material is machine steel having a yield stress of sY = 750 MPa, determine the factor of safety with respect to yielding if the maximum shear stress theory is considered.arrow_forward
- The 304-stainless-steel cylinder has an inner diameter of 4 in. and a wall thickness of 0.1 in. O Part A If it is subjected to an internal pressure of p = 80 psi, axial load of F= 430 lb, and a torque of T = 100 lb-ft, determine if yielding occurs according to the maximum shear stress theory. O Failure occurs O Failure does not occur Submit Request Answer Provide Feedback Farrow_forwardAn aluminum alloy is to be used for a solid drive shaft such that it transmits 30 hp at 1200 rev>min. Using a factor of safety of 2.5 with respect to yielding, determine the smallest-diameter shaft that can be selected based on the maximum shear stress theory. sY = 10 ksi.arrow_forwardIf a shaft is made of a material for which sY = 75 ksi, determine the maximum torsional shear stress required to cause yielding using the maximum distortion energy theory.arrow_forward
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