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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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

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