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(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.

(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.

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A beam is subjected to equal bending moments of M2 = 56 kip-ft. The cross-sectional dimensions are b1 = 8.3 in., d1 = 1.4 in., b2 = 0.50 in., d2 = 6.6 in., b3 = 2.2 in., and d3 = 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. y K M2 M, d2 b2 d3 b3 Answer: (a) y= i in. 1z= i in.4 S= i on.3 (b) OH = i ksi ( c) σκ-i ksi (d) Omax = i ksi
Transcribed Image Text:A beam is subjected to equal bending moments of M2 = 56 kip-ft. The cross-sectional dimensions are b1 = 8.3 in., d1 = 1.4 in., b2 = 0.50 in., d2 = 6.6 in., b3 = 2.2 in., and d3 = 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. y K M2 M, d2 b2 d3 b3 Answer: (a) y= i in. 1z= i in.4 S= i on.3 (b) OH = i ksi ( c) σκ-i ksi (d) Omax = i ksi
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