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Engineering

Civil Engineering

2 kips 4 kips 5 kip · ft C D A В - 5 ft--5 ft --5 ft-

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A beam is subjected to equal bending moments of M, = 4200 N-m. The cross-sectional dimensions are b = 105 mm, c = 30 mm, d = 73 mm, and t = 8 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. M2 Н d (typ) K b
A beam is subjected to equal bending moments of M₂ = 2700 N-m. The cross-sectional dimensions are b= 155 mm, c = 26 mm, d = 72 mm, and t = 8 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. Answer: M₂ (a) y-i 1₂ = i S= i (b) OH = (c) Ok= (d) Omax i i i M₂ mm mm4 mm³ MPa MPa MPa (typ) b H K d
A beam is subjected to equal bending moments of M₂ = 3200 N-m. The cross-sectional dimensions are b= 145 mm, c = 30 mm, d= 72 mm, and t = 3 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. M₂ M₂ X (typ) 4 b H K d
Solve for no.2 Simplify the solutions and write down the formula
A beam is subjected to equal bending moments of M, = 3900 N-m. The cross-sectional dimensions are b = 190 mm, c= 30 mm, d = 65 mm, and t = 5 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. M2 M2 H d (typ) K Answer: (a) y= 21.67 mm 1055000.021 mm4 %3D mm3 (b) OH= 141.693 MPa (c) OK 61.62 MPа (d) Omax 160.177 MPa e Type here to search
A beam is subjected to equal bending moments of M, = 4300 N-m. The cross-sectional dimensions are b = 140 mm, c = 35 mm, d = 68 mm, and t = 5 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. M2 H d (tур) K Answer: (a) y= i mm Iz = i mm4 S= i mm3 (b) ƠH MPa (c) OK = i MPa (d) Omax i MPa
SHOW COMPLETE SOLUTIONS. SHOW NECESSARY DIAGRAMS/FBDS FOR SHEAR OR MOMENT. Use 2 decimal places in your final answer.
For the given girders of the frame shown which carries a uniform load of 12 kN/m along span GH and HI and a uniform load of 36.2 kN/m along span DE and EF. Dimensions are given as follows: A = 3.7 meters B = 5.1 meters C = 7.4 meters Using the approximation for building frames under vertical loads. G [A] [A] [B] [C] Compute the value of the absolute moment at reaction B. (kN-m) « Previous Quiz save
A beam is subjected to equal bending moments of Mz = 3100 N·m. The cross-sectional dimensions are b = 180 mm, c = 35 mm, d = 70 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.
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A beam is subjected to equal bending moments of M, = 3500 N-m. The cross-sectional dimensions are b = 165 mm, c = 29 mm, d = 72 mm, and t = 3 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. M2 M2 H d (tур) K Answer: (a) y= i mm z= i mm4 S= i mm3 (b) OH = i MPa (c) σκ-i MPa (d) Omax i MPa
Please answer the following question 1-47 in the picture and make sure you draw a free body diagram also use positive sign convention for internal forces please, Thank for your help. Post pictures of your work instead of typing it. Hint: this is a reverse engineering problem;the force in the members can be computed by setting the equal stress condition.