Q. After a puncture a driver is attempting to remove a wheel nut by applying a force of P KN to one end of a wheel brace as shown in Fig. 1. In cross-section the brace is a hollow steel tube (see section aa) of internal diameter r mm and external diameter q mm. wheel nut Position S Z CHO PHÁI ĐO *** n Yv Section aa Fig, 1 X (a) Calculate (i) the twisting torque (Tx), (ii) the bending moment (M₂), and (iii) the shear force (Qy) in the brace at position S due to the applied load P. (b) Calculate (i) the shear stress due to twisting (Tyz), and (ii) the bending stress (ox) at position S. Note that the shear force will not produce any shear stress at S. (c) Calculate the maximum shearing stress in the brace at position S using the Maximum Shear Stress Criterion. 2 Mechanics of Materials 2 Tutorials Portfolio: Exercise 5 (d) If the maximum permissible shear stress in the steel is 200 MPa, determine the maximum torque that can be applied by the brace without the risk of failure at S. 2150
Q. After a puncture a driver is attempting to remove a wheel nut by applying a force of P KN to one end of a wheel brace as shown in Fig. 1. In cross-section the brace is a hollow steel tube (see section aa) of internal diameter r mm and external diameter q mm. wheel nut Position S Z CHO PHÁI ĐO *** n Yv Section aa Fig, 1 X (a) Calculate (i) the twisting torque (Tx), (ii) the bending moment (M₂), and (iii) the shear force (Qy) in the brace at position S due to the applied load P. (b) Calculate (i) the shear stress due to twisting (Tyz), and (ii) the bending stress (ox) at position S. Note that the shear force will not produce any shear stress at S. (c) Calculate the maximum shearing stress in the brace at position S using the Maximum Shear Stress Criterion. 2 Mechanics of Materials 2 Tutorials Portfolio: Exercise 5 (d) If the maximum permissible shear stress in the steel is 200 MPa, determine the maximum torque that can be applied by the brace without the risk of failure at S. 2150
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.73P
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Question
Values are m= 360mm
n= 375mm
q= 24mm
r= 18mm
P= 0.6kN
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