Q.2 A 6.0 m cantilever steel beam ABC sustains a point load of 150 kN at free end C and a uniformly distributed load (UDL) of 30.0 kN/m over the left half span AB, as shown in Figure Q.2. The stiffness of the beam is 2EI for the left half cross-section and El for the right half cross-section. Here the value of El is given as 300 x 10° kNm?. Using the Unit Load Method and the data given, determine at free end C (a) the value of the vertical deflection, and (b) the value of the slope. Note: Alternate unit load methods are all permitted, e.g. (i) conducting direct mathematical integration, or (ii) using bending moment diagram product integral, or (iii) adopting product integral coefficients. Hint: The point load and the uniformly distributed load can be considered separately. 150 kN MA 30 kN/m El 2EI VA 3.0 m 3.0 m 6.0 m

Q.2 A 6.0 m cantilever steel beam ABC sustains a point load of 150 kN at free end C and a uniformly distributed load (UDL) of 30.0 kN/m over the left half span AB, as shown in Figure Q.2. The stiffness of the beam is 2EI for the left half cross-section and El for the right half cross-section. Here the value of El is given as 300 x 10° kNm?. Using the Unit Load Method and the data given, determine at free end C (a) the value of the vertical deflection, and (b) the value of the slope. Note: Alternate unit load methods are all permitted, e.g. (i) conducting direct mathematical integration, or (ii) using bending moment diagram product integral, or (iii) adopting product integral coefficients. Hint: The point load and the uniformly distributed load can be considered separately. 150 kN MA 30 kN/m El 2EI VA 3.0 m 3.0 m 6.0 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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