Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 8.4, Problem 85P
To determine
The damping ratio and the critical damping coefficient of the system.
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A beam of the cross section shown in Figure Q3 is made of a steel that is assumed to be elastic-
perfectectly plastic material with E = 200 GPa and σy = 240 MPa. Determine:
i.
The shape factor of the cross section
ii.
The bending moment at which the plastic zones at the top and bottom of the bar are 30
mm thick.
15 mm
30 mm
15 mm
30 mm
30 mm
30 mm
A torque of magnitude T = 12 kNm is applied to the end of a tank containing compressed air
under a pressure of 8 MPa (Figure Q1). The tank has a 180 mm inner diameter and a 12 mm
wall thickness. As a result of several tensile tests, it has been found that tensile yeild strength
is σy = 250 MPa for thr grade of steel used. Determine the factor of safety with respect to yeild,
using:
(a) The maximum shearing stress theory
(b) The maximum distortion energy theory
T
Figure Q1
An external pressure of 12 MPa is applied to a closed-end thick cylinder of internal diameter
150 mm and external diameter 300 mm. If the maximum hoop stress on the inner surface of the
cylinder is limited to 30 MPa:
(a) What maximum internal pressure can be applied to the cylinder?
(b) Sketch the variation of hoop and radial stresses across the cylinder wall.
(c) What will be the change in the outside diameter when the above pressure is applied?
[Take E = 207 GPa and v = 0.29]
Chapter 8 Solutions
Engineering Mechanics: Dynamics
Ch. 8.2 - When a 3-kg collar is placed upon the pan which is...Ch. 8.2 - Prob. 2PCh. 8.2 - Prob. 3PCh. 8.2 - For the system of Prob. 8/2, determine the...Ch. 8.2 - Prob. 5PCh. 8.2 - Prob. 6PCh. 8.2 - Prob. 7PCh. 8.2 - The vertical plunger has a mass of 2.5 kg and is...Ch. 8.2 - Determine the period τ for the system shown. The...Ch. 8.2 - Prob. 10P
Ch. 8.2 - Prob. 11PCh. 8.2 - Prob. 12PCh. 8.2 - Prob. 13PCh. 8.2 - Prob. 14PCh. 8.2 - Prob. 15PCh. 8.2 - Calculate the natural frequency fn of vibration if...Ch. 8.2 - Prob. 17PCh. 8.2 - Prob. 18PCh. 8.2 - Prob. 19PCh. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - Prob. 23PCh. 8.2 - Prob. 24PCh. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.2 - Prob. 31PCh. 8.2 - Prob. 32PCh. 8.2 - Prob. 33PCh. 8.2 - Prob. 34PCh. 8.2 - Derive the differential equation of motion for the...Ch. 8.2 - Prob. 36PCh. 8.2 - Determine the equation of motion for the system in...Ch. 8.2 - Prob. 38PCh. 8.2 - Prob. 39PCh. 8.2 - Prob. 40PCh. 8.2 - Prob. 41PCh. 8.2 - Prob. 42PCh. 8.2 - Prob. 43PCh. 8.2 - Prob. 44PCh. 8.3 - Prob. 45PCh. 8.3 - Prob. 46PCh. 8.3 - Prob. 47PCh. 8.3 - Prob. 48PCh. 8.3 - Prob. 49PCh. 8.3 - Prob. 50PCh. 8.3 - Prob. 51PCh. 8.3 - Prob. 52PCh. 8.3 - Prob. 53PCh. 8.3 - The 4-lb body is attached to two springs, each of...Ch. 8.3 - Prob. 55PCh. 8.3 - The motion of the outer frame B is given by xB = b...Ch. 8.3 - Prob. 57PCh. 8.3 - Prob. 58PCh. 8.3 - When the person stands in the center of the floor...Ch. 8.3 - Prob. 60PCh. 8.3 - Derive the equation of motion for the inertial...Ch. 8.3 - Prob. 62PCh. 8.3 - Prob. 63PCh. 8.3 - Prob. 64PCh. 8.3 - Prob. 65PCh. 8.3 - Prob. 66PCh. 8.3 - Derive and solve the equation of motion for the...Ch. 8.3 - Prob. 68PCh. 8.3 - Prob. 69PCh. 8.3 - Prob. 70PCh. 8.4 - The light rod and attached small spheres of mass m...Ch. 8.4 - Prob. 72PCh. 8.4 - The thin square plate is suspended from a socket...Ch. 8.4 - Prob. 74PCh. 8.4 - The 20-lb spoked wheel has a centroidal radius of...Ch. 8.4 - Prob. 76PCh. 8.4 - The uniform sector has mass m and is freely hinged...Ch. 8.4 - Prob. 78PCh. 8.4 - Prob. 79PCh. 8.4 - Prob. 80PCh. 8.4 - Prob. 81PCh. 8.4 - Prob. 82PCh. 8.4 - Prob. 83PCh. 8.4 - Prob. 84PCh. 8.4 - Prob. 85PCh. 8.4 - Prob. 86PCh. 8.4 - Prob. 87PCh. 8.4 - Prob. 88PCh. 8.4 - Prob. 89PCh. 8.4 - Prob. 90PCh. 8.4 - Prob. 91PCh. 8.4 - Prob. 92PCh. 8.4 - Prob. 93PCh. 8.4 - Prob. 94PCh. 8.4 - Prob. 95PCh. 8.4 - Prob. 96PCh. 8.5 - The 1.5-kg bar OA is suspended vertically from the...Ch. 8.5 - The light rod and attached sphere of mass m are at...Ch. 8.5 - A uniform rod of mass m and length l is welded at...Ch. 8.5 - The spoked wheel of radius r, mass m, and...Ch. 8.5 - Prob. 101PCh. 8.5 - The length of the spring is adjusted so that the...Ch. 8.5 - The body consists of two slender uniform rods...Ch. 8.5 - By the method of this article, determine the...Ch. 8.5 - Prob. 105PCh. 8.5 - Prob. 106PCh. 8.5 - Prob. 107PCh. 8.5 - Prob. 108PCh. 8.5 - Prob. 109PCh. 8.5 - Prob. 110PCh. 8.5 - Prob. 111PCh. 8.5 - Prob. 112PCh. 8.5 - Prob. 113PCh. 8.5 - Prob. 114PCh. 8.5 - Prob. 115PCh. 8.5 - Prob. 116PCh. 8.5 - Prob. 117PCh. 8.5 - The quarter-circular sector of mass m and radius r...Ch. 8.6 - Prob. 119RPCh. 8.6 - Prob. 120RPCh. 8.6 - Prob. 121RPCh. 8.6 - Prob. 122RPCh. 8.6 - Prob. 123RPCh. 8.6 - Prob. 124RPCh. 8.6 - Prob. 125RPCh. 8.6 - Prob. 126RPCh. 8.6 - Prob. 127RPCh. 8.6 - Prob. 128RPCh. 8.6 - Prob. 129RPCh. 8.6 - Prob. 130RPCh. 8.6 - Prob. 131RPCh. 8.6 - Prob. 132RPCh. 8.6 - Prob. 133RPCh. 8.6 - Prob. 137RPCh. 8.6 - Prob. 138RPCh. 8.6 - Prob. 139RPCh. 8.6 - Prob. 140RP
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