P.3) In the figure, a simply supported beam (statically indeterminate) is subjected to an evenly distributed load q. The beam also has a support at the middle point B. The reaction forces at point A, B, and C are 3/16qL, 10/16qL, and 3/16qL, respectively. Determine the deflection function v(x) using singularity functions. Then, determine the deflection at point B, VB = v(x = ¹/2 L). Does your answer agree with what is expected? Explain your result. Hint: Place origin at point A 7100 L B C 711

P.3) In the figure, a simply supported beam (statically indeterminate) is subjected to an evenly distributed load q. The beam also has a support at the middle point B. The reaction forces at point A, B, and C are 3/16qL, 10/16qL, and 3/16qL, respectively. Determine the deflection function v(x) using singularity functions. Then, determine the deflection at point B, VB = v(x = ¹/2 L). Does your answer agree with what is expected? Explain your result. Hint: Place origin at point A 7100 L B C 711

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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P.3) In the figure, a simply supported beam (statically indeterminate) is subjected
to an evenly distributed load q. The beam also has a support at the middle point B.
The reaction forces at point A, B, and C are 3/16qL, 10/16qL, and 3/16qL,
respectively. Determine the deflection function v(x) using singularity functions.
Then, determine the deflection at point B, VB = v(x = ¹/2 L). Does your answer
agree with what is expected? Explain your result.
Hint: Place origin at point A
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