Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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The strength of the rolled W section shown is increased by welding a channel to its upper flange. Determine the moments of inertia of the combined section with respect to its centroidal x and y axes.
Two channels are welded to a rolled W section as shown. Determine the moments of inertia and the radii of gyration of the combined section with respect to the centroidal x and y axes.
Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes.
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- The 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_forwardThe 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_forwardDetermine the polar moment of inertia of the area shown with respect to (a) point O, (b) the centroid of the area.arrow_forward
- A channel and a plate are welded together as shown to form a section that is symmetrical with respect to the y axis. Determine the moments of inertia of the combined section with respect to its centroidal x and y axes.arrow_forwardThe strength of a W14 x 38 rolled-steel beam is increased by attaching a 9x 3/4-in. plate to its upper flange as shown. Determine the moment of inertia and the radius of gyration of the composite section with respect to an axis that is parallel to the plate and passes through the centroid C of the section.arrow_forwardDetermine the moment of inertia (cm4) of the cross section shown if a=19cm, b=31cm, c=23cm, r=2cm, s=2cm, and t=2cm. With respect to the a) horizontal centroidal axis b) vertical centroidal axisarrow_forward
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