4) While trying to change a tire, the driver shown below applies a force, P, of 25 Ibs at each end of the lug wrench. The lug wrench is made of solid steel with a circular cross-section of 0.5" and has a shear modulus of 11,400 ksi. b) Calculate the maximum shear stress that the driver would apply to the lug nut at A (in ksi). [Ans. to check: 18.3ksi] a) Use statics to calculate the amount of torque at point A of the wrench in Ib-in. Remember that the force is applied on both sides. [Ans. to Check: 450 lb-in] c) The allowable shear stress in the wrench is 25 ksi. Determine the Factor of Safety (FOS) against yield. d) Find the angle of twist in radians at the same location. Assume the wrench is symmetrical and that it is 9" from the center of the wrench to point A. 9.0 in. 9.0 in. A d = 0.5 in. P = 25 lb

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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4) While trying to change a tire, the driver shown below applies a force, P, of 25 Ibs at each end of the
lug wrench. The lug wrench is made of solid steel with a circular cross-section of 0.5" and has a shear
a) Use statics to calculate the amount of torque at point A of the wrench in Ib-in. Remember that
the force is applied on both sides. [Ans. to Check: 450 lb-in]
modulus of 11,400 ksi.
c) The allowable shear stress in the wrench is 25 ksi. Determine the Factor of Safety (FOS) against
yield.
b) Calculate the maximum shear stress that the driver would apply to the lug nut at A (in ksi). [Ans.
to check: 18.3ksi]
d) Find the angle of twist in radians at the same location. Assume the wrench is symmetrical and
that it is 9" from the center of the wrench to point A.
9.0 in.
9.0 in. A
d = 0.5 in.
P = 25 lb
Transcribed Image Text:4) While trying to change a tire, the driver shown below applies a force, P, of 25 Ibs at each end of the lug wrench. The lug wrench is made of solid steel with a circular cross-section of 0.5" and has a shear a) Use statics to calculate the amount of torque at point A of the wrench in Ib-in. Remember that the force is applied on both sides. [Ans. to Check: 450 lb-in] modulus of 11,400 ksi. c) The allowable shear stress in the wrench is 25 ksi. Determine the Factor of Safety (FOS) against yield. b) Calculate the maximum shear stress that the driver would apply to the lug nut at A (in ksi). [Ans. to check: 18.3ksi] d) Find the angle of twist in radians at the same location. Assume the wrench is symmetrical and that it is 9" from the center of the wrench to point A. 9.0 in. 9.0 in. A d = 0.5 in. P = 25 lb
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