(a) A beam of length 5m and flexural stiffness (EA) of 1000 kNm². simply supported at its ends, is subjected to loading conditions shown in Fig. Q3(a). (1) (ii) B 4 KN 2 kNm с 6 KN + + Fig. Q3(a): Loaded structural beam Calculate the reaction forces at the two end supports. To find slopes and deflections along the beam using Macaulay's method, write an expression for the bending moment at a section X-X identified at distance x measured from the left-end. (iii) Using 'double integration method, derive expressions for the vertical deflection and slope at any point along the beam. (iv) Determine the vertical deflection at 4kN load and the slope at 6kN load. Suggest how you may find the position of maximum deflection (no workings necessary). (v) Sketch the shear force and bending moment diagrams for the loading configuration indicating key values at loading points.

(a) A beam of length 5m and flexural stiffness (EA) of 1000 kNm². simply supported at its ends, is subjected to loading conditions shown in Fig. Q3(a). (1) (ii) B 4 KN 2 kNm с 6 KN + + Fig. Q3(a): Loaded structural beam Calculate the reaction forces at the two end supports. To find slopes and deflections along the beam using Macaulay's method, write an expression for the bending moment at a section X-X identified at distance x measured from the left-end. (iii) Using 'double integration method, derive expressions for the vertical deflection and slope at any point along the beam. (iv) Determine the vertical deflection at 4kN load and the slope at 6kN load. Suggest how you may find the position of maximum deflection (no workings necessary). (v) Sketch the shear force and bending moment diagrams for the loading configuration indicating key values at loading points.

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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Qn. 1 b
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