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 n Position S P m r q Section aa Fig, 1 (a) Calculate (i) the twisting moment, (ii) the bending moment, and (iii) the shear force in the brace at position S due to the applied load P. (b) Calculate (i) the shear stress due to twisting, and (ii) the bending stress 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. m (mm) 340 n (mm) 325 q (mm) 34 34 r (mm) 22 22 P (kN) 1.2
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 n Position S P m r q Section aa Fig, 1 (a) Calculate (i) the twisting moment, (ii) the bending moment, and (iii) the shear force in the brace at position S due to the applied load P. (b) Calculate (i) the shear stress due to twisting, and (ii) the bending stress 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. m (mm) 340 n (mm) 325 q (mm) 34 34 r (mm) 22 22 P (kN) 1.2
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
Related questions
Question

Transcribed Image Text: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
n
Position S
P
m
r
q
Section aa
Fig, 1
(a) Calculate (i) the twisting moment, (ii) the bending moment, and (iii) the shear
force in the brace at position S due to the applied load P.
(b) Calculate (i) the shear stress due to twisting, and (ii) the bending stress 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.

Transcribed Image Text:m (mm)
340
n (mm)
325
q (mm)
34
34
r (mm)
22
22
P (kN)
1.2
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