Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10.8, Problem 4RP
To determine
The area moment of inertia of the area about the x axis and then by using the parallel-axis theorem, find the moment of inertia about the
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a. Determine the y-centroidal axis from the reference line.
b. Determine the moment of inertia about the reference line in the cross-section shown.
5. Determine the MI of the Z Section about centroidal axis. (Ix= 22.6(106) mm4,Iy = 9.81(106) mm4)
Determine the moment of inertia about the centroidal x and y axes for the composite area show.
Chapter 10 Solutions
Engineering Mechanics: Statics & Dynamics (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 - Determine the moment of inertia of tire area about...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 - Prob. 6FPCh. 10.4 - Prob. 7FPCh. 10.4 - Prob. 8FPCh. 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 - 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 - Determine the moment of inertia about the y axis.Ch. 10.4 - Prob. 38PCh. 10.4 - Prob. 39PCh. 10.4 - Prob. 40PCh. 10.4 - Prob. 41PCh. 10.4 - Prob. 42PCh. 10.4 - Prob. 43PCh. 10.4 - Prob. 44PCh. 10.4 - Prob. 45PCh. 10.4 - Prob. 46PCh. 10.4 - Determine the moment of inertia for the shaded...Ch. 10.4 - Prob. 48PCh. 10.4 - Prob. 49PCh. 10.4 - Prob. 50PCh. 10.4 - Determine the moment of inertia for the beams...Ch. 10.4 - Prob. 52PCh. 10.4 - Prob. 53PCh. 10.7 - Prob. 54PCh. 10.7 - Prob. 55PCh. 10.7 - Determine the product of inertia for the shaded...Ch. 10.7 - Prob. 57PCh. 10.7 - Prob. 58PCh. 10.7 - Prob. 59PCh. 10.7 - Prob. 60PCh. 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 - Prob. 65PCh. 10.7 - Prob. 66PCh. 10.7 - Prob. 67PCh. 10.7 - Prob. 68PCh. 10.7 - Prob. 69PCh. 10.7 - Prob. 70PCh. 10.7 - Solve Prob. 10-70 using Mohrs circle Hint. To...Ch. 10.7 - Prob. 72PCh. 10.7 - Solve Prob. 10-72 using Mohrs circle.Ch. 10.7 - Prob. 74PCh. 10.7 - Solve Prob. 10-74 using Mohrs circle.Ch. 10.7 - Prob. 76PCh. 10.7 - Solve Prob. 10-76 using Mohrs circle.Ch. 10.7 - Prob. 78PCh. 10.7 - Prob. 79PCh. 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 - Prob. 84PCh. 10.8 - Prob. 85PCh. 10.8 - Prob. 86PCh. 10.8 - Prob. 87PCh. 10.8 - Determine the moment of inertia of the homogenous...Ch. 10.8 - Determine the moment of inertia of the...Ch. 10.8 - Prob. 90PCh. 10.8 - The concrete shape is formed by rotating the...Ch. 10.8 - Prob. 92PCh. 10.8 - The right circular cone is formed by revolving the...Ch. 10.8 - Prob. 94PCh. 10.8 - Prob. 95PCh. 10.8 - The pendulum consists of a 8-kg circular disk A, a...Ch. 10.8 - Determine the moment of inertia Ix of the frustum...Ch. 10.8 - Prob. 98PCh. 10.8 - Prob. 99PCh. 10.8 - Prob. 100PCh. 10.8 - Prob. 101PCh. 10.8 - Prob. 102PCh. 10.8 - Prob. 103PCh. 10.8 - Prob. 104PCh. 10.8 - Prob. 105PCh. 10.8 - Prob. 106PCh. 10.8 - Prob. 107PCh. 10.8 - Prob. 108PCh. 10.8 - Prob. 109PCh. 10.8 - Prob. 1RPCh. 10.8 - Prob. 2RPCh. 10.8 - Prob. 3RPCh. 10.8 - Prob. 4RPCh. 10.8 - Prob. 5RPCh. 10.8 - Determine the product of inertia of the shaded...
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- Locate the centroid y̅ of the channel’s cross-sectional area, then determinethe moment of inertia of the area about the centroidal x’ axis.arrow_forwardH6. Find the position of the cross-section’s centroid. Then, determine the moments of inertia of horizontal & vertical axes through the centroid. (I'm not sure if the width of the verticle rectangle is needed or not. If it is, assume 5 mm.)arrow_forwardLocate the centroid y¯ of the channel's cross-sectional area. Then determine the moment of inertia with respect to the x′ axis passing through the centroid. Take that a = 2.2 in.arrow_forward
- Determine the moments of inertia of the Z-section about its centroidal x0- and y0-axes.arrow_forwardThe thick plate consists of steel with a density of density = 15 slug /ft^3. Determine the moment of inertia of the plate about the z-axis shown in the figure and express it in slug ∗ ft^2.arrow_forwardDetermine the moment of inertia of the shaded area with respect to the y axis.arrow_forward
- A rectangular plate has base b = 3 m and height h - 2 m . The Moment of Inertia about an axis passing through its centroid is calculated as : O a . 2 m ^ 4 O b . 24 m 4 . O c 9 m14 O d . 12 m44arrow_forwardLocate the centroid y bar of the composite area, then determine the moment of inertia of this area about the centroidal xannouncement: pulg = incharrow_forward9-27 in addition to finding the y coordinate of the centroid also find the x coordinate of the centroid of the shape , the moment of inertia about the x axis and the moment of inertia about the y axisarrow_forward
- Determine the moment of inertia about the x and y axis of the shaded area.arrow_forwardLocate the centroid of the cross section below Hint: Cut the cross section into a rectangular shapes and determine thecentroids of the each rectangle. Use the formula AT (X) = A1 (x1) + A2(x2) + A3 (x3) to solve for x and AT (y)= A1(y1) + A2 (y2) + A3y3t o solve for Y. AT = A1+A2 + A3arrow_forwardDetermine the Moment of Inertia about both Centroids I-sub-x, and I-sub-y -Divide into shapes -Determine the centroid -Set up TABLE - Shape, AREA, x, y, x^2*AREA, y^2*AREA - Compute the Moment of Inertias with PARALLEL AXIS THEREOM I-sub-x =SUM(I-sub-x-sub-(SELF) + Ad^2)arrow_forward
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