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A simply supported beam carrie a) Calculate the support r b) Write out the M(x) equ c) Determine the slope an needed and using two I d) Calculate the deflection e) Check: Calculate the c

A simply supported beam carrie a) Calculate the support r b) Write out the M(x) equ c) Determine the slope an needed and using two I d) Calculate the deflection e) Check: Calculate the c

Structural Analysis
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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A simply supported beam carries a moment applied to one end as shown. EI is constant. a) Calculate the support reaction forces for the beam. b) Write out the M(x) equation using discontinuity functions. c) Determine the slope and deflection equations by integrating the M(x) equation as needed and using two integration constants, C1 and C2. d) Calculate the deflection at the mid-span of the beam. e) Check: Calculate the deflection at point B (right support). **Diagram Description:** - A horizontal beam labeled from point A to point B. - A moment is applied at point B with a magnitude of 20 ft-k. - The beam span is 12 ft between points A and B. - There are support reactions at both ends, with a support at point A and a support at point B.
Transcribed Image Text:A simply supported beam carries a moment applied to one end as shown. EI is constant. a) Calculate the support reaction forces for the beam. b) Write out the M(x) equation using discontinuity functions. c) Determine the slope and deflection equations by integrating the M(x) equation as needed and using two integration constants, C1 and C2. d) Calculate the deflection at the mid-span of the beam. e) Check: Calculate the deflection at point B (right support). **Diagram Description:** - A horizontal beam labeled from point A to point B. - A moment is applied at point B with a magnitude of 20 ft-k. - The beam span is 12 ft between points A and B. - There are support reactions at both ends, with a support at point A and a support at point B.
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