Figure Q3 represents an over-hanging beam, with a pin-support at point A and a rolling support at point C on the beam. Two downward point loads of 18 kN and 6 kN are applied at points B and D on the beam, respectively. A clockwise bending moment of 10 kN.m is applied at point D of the beam. 18 kN 6 kN Cross-section of the beam B 10 kN-m 2 m 2 m 2 m Figure Q3: An over-hanging beam 3.1. Determine and show the directions of action of the support reactions at points A and C. 3.2. Using the left free-end A as the origin of the horizontal coordinate of the beam, establish the equations for shear force (SF) and bending momen! (BM) acting on the beam, and reduce them to the standard form. 3.3. Plot the SF and BM diagrams of the beam, showing the values at each of the points labelled on it. 3.4. From the left end-point A, determine and show the position of the point o contra-flexural point 3.5. If the beam has an elastic section modulus that is equal to 176 x 10° mm³, about the horizontal centroidal x-x axis, determine the maximum bending stress induced in the beam.

Figure Q3 represents an over-hanging beam, with a pin-support at point A and a rolling support at point C on the beam. Two downward point loads of 18 kN and 6 kN are applied at points B and D on the beam, respectively. A clockwise bending moment of 10 kN.m is applied at point D of the beam. 18 kN 6 kN Cross-section of the beam B 10 kN-m 2 m 2 m 2 m Figure Q3: An over-hanging beam 3.1. Determine and show the directions of action of the support reactions at points A and C. 3.2. Using the left free-end A as the origin of the horizontal coordinate of the beam, establish the equations for shear force (SF) and bending momen! (BM) acting on the beam, and reduce them to the standard form. 3.3. Plot the SF and BM diagrams of the beam, showing the values at each of the points labelled on it. 3.4. From the left end-point A, determine and show the position of the point o contra-flexural point 3.5. If the beam has an elastic section modulus that is equal to 176 x 10° mm³, about the horizontal centroidal x-x axis, determine the maximum bending stress induced in the beam.

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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