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
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.73P
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Values are m= 360mm

n= 375mm

q= 24mm

r= 18mm

P= 0.6kN

 

01:01 Fri 3 Mar
S
T
B
오
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
N
*****
a
n
m
r
a
Z
y!
Section aa
q
O
2018-
X
Fig, 1
(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.
215
Transcribed Image Text:01:01 Fri 3 Mar S T B 오 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 N ***** a n m r a Z y! Section aa q O 2018- X Fig, 1 (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. 215
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