Q.2 A uniform, single-span steel beam ABCDE is simply supported at A and E and carries loads as indicated in Figure Q.2. The stiffness El of cross- section is equal to 200 x 103 kNm2. Using the unit load method with respect to multiplying of bending moment diagrams (i.e. multiplying the areas on the M-diagrams with the corresponding ordinates of the m- diagram), determine the magnitude of the deflection at the mid-span point C, including (a) drawing the bending moment M diagrams due to the applied loads,

Q.2 A uniform, single-span steel beam ABCDE is simply supported at A and E and carries loads as indicated in Figure Q.2. The stiffness El of cross- section is equal to 200 x 103 kNm2. Using the unit load method with respect to multiplying of bending moment diagrams (i.e. multiplying the areas on the M-diagrams with the corresponding ordinates of the m- diagram), determine the magnitude of the deflection at the mid-span point C, including (a) drawing the bending moment M diagrams due to the applied loads,

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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Concept explainers

Design of structures using FEA

An arrangement, in which various members are interconnected with their constrained relative motion, the whole arrangement is then known as a structure. The degree of freedom of such a structure is zero. In such a structure, the load can act throughout the length of the structure or at the joints.

Question

Please solve by integration using the equation given below Thank you

Q.2 A uniform, single-span steel beam ABCDE is simply supported at A and E
and carries loads as indicated in Figure Q.2. The stiffness El of cross-
section is equal to 200 x 10° kNm2. Using the unit load method with
respect to multiplying of bending moment diagrams (i.e. multiplying the
areas on the M-diagrams with the corresponding ordinates of the m-
diagram), determine the magnitude of the deflection at the mid-span point
C, including
(a) drawing the bending moment M diagrams due to the applied loads,
(b) drawing the bending moment m diagram due to unit load acting at the
mid-span point C, and
(c) calculating the value of the deflection at the mid-span point C using a
table.
Note: Alternate unit load methods are also permitted, e.g. conducting direct
integration or using product integral coefficients.
60 kN
60 kN
40 kN/m
El
家E
D
VA
2.5 m
2.5 m
2.5 m
2.5 m
VE
10.0 m
Figure Q.2

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