1. The non-prismatic cantilever beam shown below is supported with a triangulalo = 129 x 10*6 mm*4 and E = 200 GPa. Use Double integration Method:ad. Determine the following, whena) Shear Diagram.b) Moment Diagram.c) Deflection at point Bd) Deflection at free end.e) Rotation at free end.CIVIL EN15 kN10 kNimA2 lo

Cantilever beams normally have one end fixed and another side the slope and deflection at the fixed…

1. The non-prismatic cantilever beam shown below is supported with a triangular load. Determine the following, when o = 129 x 10*6 mm^4 and E = 200 GPa. Use Double Integration Method a) Shear Diagram. b) Moment Diagram. ) Deflection at point 8 d) Deflection at free end.. e) Rotation at free end. CIVIL EN 15 AN 10 kNim 2 1.

1. The non-prismatic cantilever beam shown below is supported with a triangular load. Determine the following, when o = 129 x 10*6 mm^4 and E = 200 GPa. Use Double Integration Method a) Shear Diagram. b) Moment Diagram. ) Deflection at point 8 d) Deflection at free end.. e) Rotation at free end. CIVIL EN 15 AN 10 kNim 2 1.

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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The simply supported beam consists of a W460 × 82 structural steel wide-flange shape [E = 200 GPa; I = 370 × 106 mmª]. For the loading shown, determine the beam deflection vc at point C. Assume P = 51 kN, w = 18 kN/m, LAB = LBC = 2.8 m, LcD = 2.2 m. C LẠB LBC LCD mm. Answer: vc =
The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.“1. Assume that the support at D can provide resistance either up or down. For a loading of w = 7.2 kips/ft, determine: (a) the beam deflection Va at point A. (b) the beam deflection vc at point C. Assume LAB = 11 ft, Lec = 6 ft, LcD = 6 ft, LDE = 5 ft. В D E LAB LBC LCD LDE Answers: (a) VA = 0.9 in. (b) vc = 0.5| in.
A beam is subjected to equal bending moments of M, = 3800 N-m. The cross-sectional dimensions are b = 200 mm, c = 30 mm, d = 75 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. M. y M2 H d ((ур) K b
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
The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa; /= 370 × 106 mm4]. For the loading shown, determine the beam deflection vc at point C. Assume P = 56 kN, w = 22 kN/m, LAB = LBC= 2.9 m, LCD = 2.9 m. P "| พ X C LBC A Answer: Vc= LAB B mm. LCD
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I-1730 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 210 kip-ft, P = 13 kips, LAB = 3.8 ft, LBC = 5.7 ft. MA A Answer: (a) VA = (b) VB = LAB P B in. in. LBC C - X
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
A simply supported beam has loads P1-38 kN, P2-68 kN, and P3-74 kN. Calculate the deflection at C in terms of El. Note: If the deflection is downwards, answer in a negative value, otherwise, answer in positive value. (i.e. 562.50/EI should be answered -562.5) Answer in 2 decimal places P, (kN) P2 (kN) P3 (kN) 2.4m 3.2m 3.8m A В C D E 12.8m
X Your answer is incorrect. The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.“]. Assume that the support at D can provide resistance %3D either up or down. For a loading of w = 5.4 kips/ft, determine: (a) the beam deflection vg at point A. (b) the beam deflection vc at point C. Assume LAB = 13 ft, LBc = 7 ft, LcD =7 ft, LDE = 6 ft. %3D A B E LAB LBC LcD LCD Lpe Answers: (a) VA = -0.65669 in. (b) vc = 0.024937 in.
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; | = 1520 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 220 kip-ft, P = 27 kips, LAR = 6.2 ft, LBc = 9.3 ft. AP MA LAB LBC Answer: (a) VA = in. (b) VB = in.