Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 10.4, Problem 34P
Determine the moment of inertia of the beam’s cross-sectional area about the y axis.
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2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 32: 1. The
pressure angle is 14½. It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, design
the smallest diameter gears and find also necessary face width. The number of teeth should not be less
than 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105
MPa. Lewis factor for 14½½ pressure angle may be taken
0.684
0.124
y =
No. of teeth
as
[Ans. m 3 mm; b= 35 mm; Dp = 48 mm; D= 168 mm]
Q2. Determine the safety factors for the bracket rod shown in Figure 2 based on both the
distortion-energy theory and the maximum shear theory and compare them.
Given: The material is 2024-T4 aluminum with a yield strength of 47 000 psi.
The rod length /= 6 in. and arm a = 8 in. The rod outside diameter od 1.5 in., id = 1 in, h=2 in.,
t=0.5 in., Load F= 1000 lb.
Assumptions: The load is static and the assembly is at room temperature. Consider
shear due to transverse loading as well as other stresses. (Note: solve in SI units)
wall
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Figure 2
arm
Chapter 10 Solutions
Engineering Mechanics: Statics
Ch. 10.3 - Determine the moment of inertia of the shaded area...Ch. 10.3 - Determine the moment of inertia of the shaded area...Ch. 10.3 - Determine the moment of inertia of the shaded area...Ch. 10.3 - Determine the moment of inertia of the shaded area...Ch. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 6P
Ch. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Determine the moment of inertia of the area about...Ch. 10.3 - Solve the problem in two ways, using rectangular...Ch. 10.3 - Prob. 11PCh. 10.3 - Prob. 12PCh. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - Prob. 17PCh. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10.3 - Prob. 21PCh. 10.3 - Prob. 22PCh. 10.3 - Prob. 23PCh. 10.3 - Prob. 24PCh. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine me moment of inertia of the...Ch. 10.4 - Determine the moment of inertia of the...Ch. 10.4 - Determine the moment of inertia of the composite...Ch. 10.4 - Determine the moment of inertia of the composite...Ch. 10.4 - Prob. 27PCh. 10.4 - Prob. 28PCh. 10.4 - Prob. 29PCh. 10.4 - Prob. 30PCh. 10.4 - Prob. 31PCh. 10.4 - Prob. 32PCh. 10.4 - Prob. 33PCh. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine, g, which locates the centroidal axis z...Ch. 10.4 - Prob. 36PCh. 10.4 - Prob. 37PCh. 10.4 - Prob. 38PCh. 10.4 - Prob. 39PCh. 10.4 - Prob. 41PCh. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Prob. 43PCh. 10.4 - Prob. 44PCh. 10.4 - Determine the distance x to the centroid C of the...Ch. 10.4 - Determine the moment of inertia of the area about...Ch. 10.4 - Determine the moment of inertia of the area about...Ch. 10.4 - Prob. 50PCh. 10.4 - Prob. 51PCh. 10.4 - Determine the moment of inertia of the...Ch. 10.4 - Determine the moment of inertia of the...Ch. 10.7 - Determine the product of inertia of the thin strip...Ch. 10.7 - Prob. 55PCh. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Prob. 57PCh. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Prob. 59PCh. 10.7 - Prob. 60PCh. 10.7 - Prob. 62PCh. 10.7 - Determine the product of inertia for the beams...Ch. 10.7 - Prob. 64PCh. 10.7 - Prob. 65PCh. 10.7 - Determine the product of inertia of the cross...Ch. 10.7 - Prob. 67PCh. 10.7 - For the calculation, assume all comers to be...Ch. 10.7 - Prob. 69PCh. 10.7 - Prob. 70PCh. 10.7 - Prob. 71PCh. 10.7 - Prob. 72PCh. 10.7 - Prob. 73PCh. 10.7 - Prob. 74PCh. 10.7 - Prob. 75PCh. 10.7 - Prob. 76PCh. 10.7 - Prob. 77PCh. 10.7 - Prob. 78PCh. 10.7 - Prob. 79PCh. 10.7 - Prob. 80PCh. 10.7 - Prob. 81PCh. 10.7 - Prob. 82PCh. 10.7 - using Mohrs circle.Ch. 10.8 - Determine the moment of inertia of the thin ring...Ch. 10.8 - The material has a constant density .Ch. 10.8 - Prob. 86PCh. 10.8 - Determine the radius of gyration kx of the...Ch. 10.8 - The material has a constant density .Ch. 10.8 - Hint: For integration, use thin plate elements...Ch. 10.8 - Prob. 90PCh. 10.8 - Prob. 91PCh. 10.8 - Determine the moment of inertia Iy. The specific...Ch. 10.8 - Prob. 93PCh. 10.8 - The total mass of the solid is 1500 kg.Ch. 10.8 - Prob. 95PCh. 10.8 - Prob. 96PCh. 10.8 - Determine the location y of the center of mass G...Ch. 10.8 - Prob. 98PCh. 10.8 - 15 lb. and 20 lb, respectively, determine the mass...Ch. 10.8 - The density of the material is 7.85 Mg/m3.Ch. 10.8 - The material has a density of 200kg/m3. Prob....Ch. 10.8 - The pendulum consists of a plate having a weight...Ch. 10.8 - Prob. 103PCh. 10.8 - The material has a density of 200kg/m3.Ch. 10.8 - Prob. 105PCh. 10.8 - Determine its mass moment of inertia about the y...Ch. 10.8 - Prob. 107PCh. 10.8 - Prob. 108PCh. 10.8 - Prob. 109PCh. 10.8 - Determine the moment of inertia for the shaded...Ch. 10.8 - Prob. 111RPCh. 10.8 - Determine the product of inertia of the shaded...Ch. 10.8 - Determine the area moment of inertia of the...Ch. 10.8 - Determine the area moment of inertia of the shaded...Ch. 10.8 - Determine the moment of inertia for the shaded...Ch. 10.8 - Prob. 117RPCh. 10.8 - Prob. 119RP
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY