Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840728
Author: Limbrunner
Publisher: PEARSON
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Chapter 7, Problem 7.11P
Locate the X-X and Y-Y centroidal axes for the areas shown.
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The steel curved bar shown has rectangular cross-section with a radial height h = 6 mm and thickness b = 4mm. The
radius of the centroidal axis is R = 80 mm. A force P = 10 N is applied as shown. Assume the steel modulus of
207,000 MPa and G = 79.3(103) MPa, repectively.
elasticity and shear modulus E =
Find the vertical deflection at point B. Use Castigliano's method for a curved flexural member and since R/h > 10,
neglect the effect of shear and axial load, thereby assuming that deflection is due to merely the bending moment.
Note the inner and outer radii of the curves bar are:
r = 80 + ½ (6) = 83 mm, r₁ = 80 − ½ (6) = 77 mm
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Chapter 7 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 7 - A cylindrical cast-iron casting has an axial bole...Ch. 7 - Locate the center of gravity of the cast-iron...Ch. 7 - A 5-in.-diameter steel sphere is rigidly attached...Ch. 7 - A solid steel shaft is fabricated as shown. Locate...Ch. 7 - A wood mallet has a cylindrical head 6 in. long...Ch. 7 - The built-up member shown is composed of two...Ch. 7 - A concrete member has a cross section as shown....Ch. 7 - A thin steel plate, having the dimensions shown,...Ch. 7 - The U-shaped built-up section shown is composed of...Ch. 7 - Locate the centroid of the area shown. In part...
Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - A built-up steel member is composed of a W1871...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - Find the center of gravity for the three-axle...Ch. 7 - For the following computer problems, any...Ch. 7 - For the following computer problems, any...Ch. 7 - For the following computer problems, any...Ch. 7 - A 2.in,-diameler hole, 5 in. long, is drilled into...Ch. 7 - Locate the center of gravity of the cube in...Ch. 7 - The head of a maul is made of steel d is 3 in. in...Ch. 7 - Locate the X-X centroidal axes for the cross...Ch. 7 - A built-up steel member is composed of a W2162...Ch. 7 - Locate the X-X centroidal axes for the cross...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - For the area shown, the X-X centroidal axis is...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...
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