A beam is subjected to equal bending moments of M, = 52 kip-ft. The cross-sectional dimensions are bị = 9.1 in., dı = 1.3 in., b2 = 0.50 in, d2 = 6.4 in., b3 = 3.0 in., and dz = 2.3 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. K 'p - M2 M. dz bz dz by Answer: (a) 5= i in. 1- i in.+ 5= i on.3 (b) ƠH = i ksi (c) OK = i ksi (d) Omax ksi
A beam is subjected to equal bending moments of M, = 52 kip-ft. The cross-sectional dimensions are bị = 9.1 in., dı = 1.3 in., b2 = 0.50 in, d2 = 6.4 in., b3 = 3.0 in., and dz = 2.3 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. K 'p - M2 M. dz bz dz by Answer: (a) 5= i in. 1- i in.+ 5= i on.3 (b) ƠH = i ksi (c) OK = i ksi (d) Omax ksi
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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