A beam is subjected to equal bending moments of M, = 3000 N-m. The cross-sectional dimensions are b = 190 mm, c = 30 mm, d = 73 mm, and t = 7 mm. 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. M, M H (typ) K Answer: (a) y= i mm 1z= i mm4 S= i mm3 (b) OH = i MPa (c) σκ MPa (d) Omax MPa
A beam is subjected to equal bending moments of M, = 3000 N-m. The cross-sectional dimensions are b = 190 mm, c = 30 mm, d = 73 mm, and t = 7 mm. 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. M, M H (typ) K Answer: (a) y= i mm 1z= i mm4 S= i mm3 (b) OH = i MPa (c) σκ MPa (d) Omax MPa
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.5.1P: A beam with a channel section is subjected to a bending moment M having its vector at an angle 0 to...
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