Q.2 A uniform, single-span steel beam ABC is simply supported at A and Cand carries loads as indicated in Figure Q.2. The stiffness of the cross-section for the right half span, El, is equal to El = 3.0 x 105 kNm², and the stiffness of the cross-section for the left half span, 2EI, is equal to 2El = 6.0 x 105 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 B, 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 B, and (c) calculating the value of the deflection at the mid-span point B using a table. Note: Alternate unit load methods are also permitted, e.g. conducting direct integration or using product integral coefficients. 150 kN 60 kN/m 2EI = 3.0 x 105 kNm2 El = 6.0 x 105 kNm? Vc 6.0 m VA 6.0 m 12.0 m

Q.2 A uniform, single-span steel beam ABC is simply supported at A and Cand carries loads as indicated in Figure Q.2. The stiffness of the cross-section for the right half span, El, is equal to El = 3.0 x 105 kNm², and the stiffness of the cross-section for the left half span, 2EI, is equal to 2El = 6.0 x 105 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 B, 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 B, and (c) calculating the value of the deflection at the mid-span point B using a table. Note: Alternate unit load methods are also permitted, e.g. conducting direct integration or using product integral coefficients. 150 kN 60 kN/m 2EI = 3.0 x 105 kNm2 El = 6.0 x 105 kNm? Vc 6.0 m VA 6.0 m 12.0 m

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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