From the given figure Let P=63, Find the following; a. Maximum flexure stress b. Maximum Tensile and Compressive bending stress. 4P kNm 2 m A 2 m P kN/m 4 m- B 4 m 4 m- 6P KN 800mm 60m 600mm Somm 50mm

From the given figure Let P=63, Find the following; a. Maximum flexure stress b. Maximum Tensile and Compressive bending stress. 4P kNm 2 m A 2 m P kN/m 4 m- B 4 m 4 m- 6P KN 800mm 60m 600mm Somm 50mm

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, = 3600 N-m, The cross-sectional dimensions are b= 115 mm, c 31 mm, d- 66 mm, and t = 4 mm. Determine: CR (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. d (tур) K b. Answer: mm (a) y= i mm4 1z= i mm3 i MPa (b) OH = MPa (c) OK = i %3D !MPa (d) Omax %3D IL
A square box beam is made of two 20X80-mm planks and two 20X120-mm planks nailed together as shown. We know that the spacing be- tween the nails is s=50 mm and that the allowable shearing force in each nail is 300 N, calculate (a) the largest allowable vertical shear in the beam, (b) the corresponding maximum shearing stress in the beam. E 20 mm 80 mm 20 mm S 120 mm S
Determine:a) the horizontal displacement of joint A of the steel truss. b) Due to fabrication error, members AD and BE are 2cm too long. Determine the horizontal displacement of joint A under the same loading condition. Each member has a cross-sectional area of 400mm2 and E=200GPa.
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The three-bar truss ABC shown in the figure has a span L = 3 m and is constructed of steel pipes having cross-sectional area A = 3,900 mm2 and modulus of elasticity E = 200 GPa. A load P = 650,099 Newton acts horizontally to the right at joint C. Note that point A is fixed, and point B is immovable in vertical direction but movable in horizontal direction. Find: (a) the axial forces in the bars, based on the force equilibrium of points C and B, (b) the strain energy of the truss (i.e., the total strain energy of bars AC, BC and AB), (c) the horizontal displacement of point C, based on the Work-energy principle. Hint: 1. The lengths of AC and BC are: LAC = LBC = L sin 45° = 2,121 mm 2. For an axial member, the strain energy is × EA × 2 Force Length
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The system shown below is comprised of the cantilever beam AB and the supporting truss BC connected to each other by a pin joint at B. Using the Stiffness Method compute the displacements and internal forces in the system under the applied load. Use a frame element to model member AB to account for axial stiffness. Take E = 250 GPa, IAB = 2x10 mm4, AAB = 2x104 mm², Aec = 1x10³ mm². A 80 KN 2 m * 4 m 6 m OB
A beam is subjected to equal bending moments of M, = 3800 N-m. The cross-sectional dimensions are b= 145 mm, c = 31 mm, d = 66 mm, and t = 4 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- M2 H (typ) K Answer: mm (a) y= 25.034 881894.957 mm- S= i 21527.485 mm3 MPa (b) op = -159.283. MPa (c) Ok= 90.633 MPa (d) omax = -176.519 Attempts: 2 of 3 used Submit Answer
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
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