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A beam is subjected to equal bending moments of M₂ = 59 kip-ft. The cross-sectional dimensions are b₁ = 7.5 in., d₁ = 1.4 in., b₂ = 0.55 in., d₂ = 5.0 in., b3 = 3.2 in., and d3 = 1.5 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. M₂ Z M₂ Answer: (a) y= i Iz= in. in.4 S= i on,3 (b) σH= i ksi (c) OK = i ksi (d) σmax= ksi K b₁ d₁ H b₂ b3 d₂ d3

A beam is subjected to equal bending moments of M₂ = 59 kip-ft. The cross-sectional dimensions are b₁ = 7.5 in., d₁ = 1.4 in., b₂ = 0.55 in., d₂ = 5.0 in., b3 = 3.2 in., and d3 = 1.5 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. M₂ Z M₂ Answer: (a) y= i Iz= in. in.4 S= i on,3 (b) σH= i ksi (c) OK = i ksi (d) σmax= ksi K b₁ d₁ H b₂ b3 d₂ d3

Principles of Foundation Engineering (MindTap Course List)
Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter6: Vertical Stress Increase In Soil
Section: Chapter Questions
Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...
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A beam is subjected to equal bending moments of M₂ = 59 kip-ft. The cross-sectional dimensions are b₁ = 7.5 in., d₁ = 1.4 in., b₂ = 0.55 in., d₂ = 5.0 in., b3 = 3.2 in., and d3 = 1.5 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. M₂ Z M₂ Answer: (a) y= i Iz= in. in.4 S= i on,3 (b) σH= i ksi (c) OK = i ksi (d) σmax= ksi K b₁ d₁ H b₂ b3 d₂ d3
Transcribed Image Text:A beam is subjected to equal bending moments of M₂ = 59 kip-ft. The cross-sectional dimensions are b₁ = 7.5 in., d₁ = 1.4 in., b₂ = 0.55 in., d₂ = 5.0 in., b3 = 3.2 in., and d3 = 1.5 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. M₂ Z M₂ Answer: (a) y= i Iz= in. in.4 S= i on,3 (b) σH= i ksi (c) OK = i ksi (d) σmax= ksi K b₁ d₁ H b₂ b3 d₂ d3
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