A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, tf = 20 mm, d = 150 mm, tw = 35 mm. The cross-sectional dimensions of the beam are also shown. Determine (a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H (positive if tensile and negative if compressive). (c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. M Answers: (a) y = 1₂= S= (b) 0 = (c) max = M 88.684210526316 14.560153508772 164.179772502473 -31.213522847594 66.999727386236 H mm (10%) mm 4 (10³) mm³ MPa MPa by Cross section 4

A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, tf = 20 mm, d = 150 mm, tw = 35 mm. The cross-sectional dimensions of the beam are also shown. Determine (a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H (positive if tensile and negative if compressive). (c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. M Answers: (a) y = 1₂= S= (b) 0 = (c) max = M 88.684210526316 14.560153508772 164.179772502473 -31.213522847594 66.999727386236 H mm (10%) mm 4 (10³) mm³ MPa MPa by Cross section 4

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 6.5.12P: A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a...

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