Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 1.7, Problem 96P
The bar is connected to the support using a pin having a diameter of d=1 in. If the allowable tensile stress for the bar is (σt)allow = 20 ksi, and the allowable bearing stress between the pin and the bar is (σb)allow = 30 ksi, determine the dimensions w and t so that the gross area of the cross section is wt =2 in2 and the load P is a maximum. What is this maximum load? Assume the hole in the bar has the same diameter as the pin.
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using the theorem of three moments, find all the reactions and supports, I need the calculations only
Q.5: (10 Marks) Select the correct answer (choose 10 only)
1. The forward whirling speed is ......... the static structure tilting speed.
(a) Less than
(b) Higher than
(c) equal to
2. The divergence between the forward and backward whirling speeds increases as:
(a) The rotating speed increase (b) the polar moment of inertia increases
(c) Both (a) and (b)
(d) do not change
3. Increasing the system natural frequency can be done by:
(a) add masses (b) adding braces and supports (c) increase damping
4. The amplitude of vibration due to external force can be reduced by:
(a) Increasing damping (b) Decreasing damping (c) Increasing mass
5. Tuned absorbers are used to:
(a) Shift the natural frequency (b) increase damping (c) Increase stiffness
6. Accelerometers sensors contains:
г
(a) Piezoelectric materials (b) Magnet and coil (c) coil only
7. Increasing the stiffness of the system causes:
(a) Less transmitted force (b) more transmitted force (c) Transmitted force does not
change
8. The…
Q.1: (15 Marks)
Find the first three natural frequencies and mode shapes of the axial and torsional
vibration for a steel shaft free at both ends, having a length of 3 m. Find the subsequent
axil motion if the shaft is subjected to the following initial conditions, given that E = 210
GPa, G=80 GPa, p = 7800 kg/m³:
f(x)=0
v(x) = {1
2.8
Chapter 1 Solutions
Mechanics of Materials
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