Engineering Mechanics: Statics and Modified Mastering Engineering with eText and Access Card (14th Edition)
14th Edition
ISBN: 9780134229287
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10.3, Problem 10P
Determine the moment of inertia of the area about the x axis.
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An AISI 1018 steel ball with 1.100-in diameter is used as a roller between a flat plate
made from 2024 T3 aluminum and a flat table surface made from ASTM No. 30 gray
cast iron. Determine the maximum amount of weight that can be stacked on the
aluminum plate without exceeding a maximum shear stress of 19.00 kpsi in any of the
three pieces. Assume the figure given below, which is based on a typical Poisson's
ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress
occurs for these materials.
1.0
0.8
Ratio of stress to Pmax
0.4
90
0.6
στ
Tmax
0.2
0.5a
a
1.5a
2a
2.5a
За
Distance from contact surface
The maximum amount of weight that can be stacked on the aluminum plate is
lbf.
A carbon steel ball with 27.00-mm diameter is pressed together with an aluminum ball
with a 36.00-mm diameter by a force of 11.00 N. Determine the maximum shear
stress and the depth at which it will occur for the aluminum ball. Assume the figure
given below, which is based on a typical Poisson's ratio of 0.3, is applicable to estimate
the depth at which the maximum shear stress occurs for these materials.
1.0
0.8
Ratio of stress to Pma
9 0.6
στ
24
0.4
Tmax
0.2
0
0.5a
a
1.5a
Z
2a
2.5a
За
Distance from contact surface
The maximum shear stress is determined to be
MPa.
The depth in the aluminum ball at which the maximum shear stress will occur is
determined to be [
mm.
Chapter 10 Solutions
Engineering Mechanics: Statics and Modified Mastering Engineering with eText and Access Card (14th Edition)
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 - Determine the moment of inertia about the x axis.Ch. 10.3 - Determine the moment of inertia about the y axis.Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of Inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...
Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Solve the problem in two ways, using rectangular...Ch. 10.3 - Determine the moment of inertia of the area about...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia about the x axis.Ch. 10.3 - Determine the moment of inertia about the y axis.Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Prob. 23PCh. 10.3 - Determine the moment of inertia for the shaded...Ch. 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 - The moment of inertia about the y axis is 264...Ch. 10.4 - Determine the location y of the centroid of the...Ch. 10.4 - Determine,y, which locates the centroidal axis x...Ch. 10.4 - Determine the moment of inertia for the beams...Ch. 10.4 - Determine the moment of inertia for the beams...Ch. 10.4 - Determine the moment of inertia Ix of the shaded...Ch. 10.4 - Determine the moment of inertia Ix of the shaded...Ch. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine, g, which locates the centroidal axis z...Ch. 10.4 - Determine the moment of inertia about the x axis.Ch. 10.4 - Prob. 37PCh. 10.4 - Determine the moment of inertia of the shaded area...Ch. 10.4 - Determine the moment of inertia of the shaded area...Ch. 10.4 - Prob. 40PCh. 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 for the shaded...Ch. 10.4 - Determine the moment of inertia for the shaded...Ch. 10.4 - Determine the moment of inertia of the...Ch. 10.4 - Determine the moment of inertia of the...Ch. 10.4 - Prob. 50PCh. 10.4 - Determine the moment of inertia for the beams...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. 10.7 - Determine the product of inertia of the thin strip...Ch. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Determine the product of inertia for the shaded...Ch. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Determine the product of inertia for the parabolic...Ch. 10.7 - Prob. 59PCh. 10.7 - Determine the product of inertia of the shaded...Ch. 10.7 - Prob. 61PCh. 10.7 - Prob. 62PCh. 10.7 - Prob. 63PCh. 10.7 - Determine the product of inertia for the beams...Ch. 10.7 - Determine the product of inertia tor the shaded...Ch. 10.7 - Determine the product of inertia of the cross...Ch. 10.7 - Determine the location (xy) to the centroid C of...Ch. 10.7 - For the calculation, assume all comers to be...Ch. 10.7 - Determine the moments of inertia Iu, Iv and the...Ch. 10.7 - Prob. 70PCh. 10.7 - using Mohrs circle Hint. To solve find the...Ch. 10.7 - Prob. 72PCh. 10.7 - using Mohrs circle.Ch. 10.7 - Prob. 74PCh. 10.7 - using Mohrs circle.Ch. 10.7 - Prob. 76PCh. 10.7 - using Mohrs circle.Ch. 10.7 - Prob. 78PCh. 10.7 - using Mohrs circle.Ch. 10.7 - Prob. 80PCh. 10.7 - Solve Prob. 10-80 using Mohrs circle.Ch. 10.7 - Prob. 82PCh. 10.7 - Solve Prob. 10-82 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 - Determine the radius of gyration kx of the...Ch. 10.8 - Prob. 87PCh. 10.8 - Hint: For integration, use thin plate elements...Ch. 10.8 - The material has a constant density .Ch. 10.8 - Prob. 90PCh. 10.8 - Determine the moment of inertia Iy. The specific...Ch. 10.8 - Prob. 92PCh. 10.8 - Prob. 93PCh. 10.8 - The total mass of the solid is 1500 kg.Ch. 10.8 - The slender rods have a mass of 4 kg/ point A....Ch. 10.8 - and a 4-kg slender rod. Determine the radius of...Ch. 10.8 - The material has a density of 200kg/m3. Prob....Ch. 10.8 - Determine the location y of the center of mass G...Ch. 10.8 - Prob. 99PCh. 10.8 - The pendulum consists of a plate having a weight...Ch. 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 - Prob. 103PCh. 10.8 - Determine its mass moment of inertia about the y...Ch. 10.8 - Prob. 105PCh. 10.8 - Prob. 106PCh. 10.8 - Prob. 107PCh. 10.8 - The thin plate has a mass of 12 kg/m2. Determine...Ch. 10.8 - The material has a density of 200kg/m3.Ch. 10.8 - Determine the moment of inertia for the shaded...Ch. 10.8 - Determine the moment of inertia for the shaded...Ch. 10.8 - Determine the area moment of inertia of the shaded...Ch. 10.8 - Prob. 4RPCh. 10.8 - Determine the area moment of inertia of the...Ch. 10.8 - Determine the product of inertia of the shaded...
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY