INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10.4, Problem 29P
Determine,
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Find the moment of inertia for the cross-sectional shape about the x andy axes, given: L1 = 6 in, L2 = 5 in, L3 = 4 in, L4 = 1 in
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Determine the moments of inertia of the rectangular area about the x- and y-axes and find the polar moment of
inertia about point O.
Assume ho = 0.34h, bo = 0.16b.
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Chapter 10 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
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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- The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).arrow_forwardUsing integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.arrow_forwardThe moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.arrow_forward
- Compute the principal centroidal moments of inertia for the plane area.arrow_forwardThe L806010-mm structural angle has the following cross-sectional properties: Ix=0.808106mm4,Iy=0.388106mm4, and I2=0.213106mm4, where I2 is a centroidal principal moment of inertia. Assuming that Ixy is negative, compute (a) I1 (the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.arrow_forwardFind the moment inertia of the area about the x-axis for the shaded region. y A 10 in 3 in 3 in 9 in 3 in Xarrow_forward
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