A beam is subjected to equal 19.1 kip-ft bending moments. Assume ty = t2 = ty= 1 in., d = 10 in, by= 4 in., and b2 = 7 in. The cross- sectional dimensions of the beam are illustrated. Determine; (a) the distance y to the centroid (measured from the bottom), the moment of inertia & about the z axis, and the controlling section modulus S, about the z axis. (b) the bending stress O, at point H (positive if tension, negative if compression). (c) the bending stress y at point K (positive if tension, negative if compression). (d) the maximum bending stress, Omax produced in the cross section (positive if tension, negative if compression).

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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A beam is subjected to equal 19.1 kip-ft bending moments. Assume ty = t2 = ty= 1 in., d = 10 in, by= 4 in., and b2 = 7 in. The cross-

sectional dimensions of the beam are illustrated. Determine;

(a) the distance y to the centroid (measured from the bottom), the moment of inertia & about the z axis, and the controlling section

modulus S, about the z axis.

(b) the bending stress O, at point H (positive if tension, negative if compression).

(c) the bending stress y at point K (positive if tension, negative if compression).

(d) the maximum bending stress, Omax produced in the cross section (positive if tension, negative if compression).

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