Answered: N/mm^2 for s

Engineering

Civil Engineering

N/mm^2 for s

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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Text: A beam is clamped at A. The beam is supported by a uniformly distributed load and a concentrated load as indicated on the sketch. The beam is made using the HE220A profile. The length of the beam is 4200 mm. and has a modulus of elasticity on it 2,0x105N/mm2 A) Calculate the bearing reactions of the beam for the given external load action. B) Establish moment and shear diagram for the beam for the given external load action. C) Calculate the transverse displacement of the free (cantilevered) end for the given external load action. D) Calculate the rotation of the free (cantilevered) end for the given external load action.
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
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
The right angle bar is supported by a pin at B and a roller at C as shown in figure. The 30 mm diameter pin is in double shear. The shear stress in the pin is limited to 120 MPa. Neglect torsional effect. 400 mm BC The maximum safe value of Pis 30° P 480 mm kN. (Round off to one decimal place)
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
A beam is subjected to equal bending moments of M₂ = 2700 N-m. The cross-sectional dimensions are b = 100 mm, c = 27 mm, d = 72 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. Answer: (a) y= i ¹₂ = i S = i M₂ (b) σH= i (c) OK= i (d) a max M₂ x mm mm4 mm³ MPa MPa MPa (typ) N b H K
An extruded beam has the cross-section shown in the figure. A vertical shear force, V of 110 kN is acting at the shear center of the section. Uniform thickness is 9mm. 72 50 192 50 Use I = 22.055484 × 10° mm' Estimate the total vertical shear (kN) resisted by the web CD. A 117 B 110 C 103 D 96 The distance from the axis of the web to the shear center is most nearly equal to. A 35 mm B 20 mm 15 mm D 40 mm
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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
WHICH OF THE FOLLOWING GIVES SHERARING STRESS IF a=3inches Which of the following gives the minimum permissible dimension if the shearing stress is limited to 6000 psi