A simply supported beam carries a moment applied to one end as shown. El is constant.a) Calculate the support reaction forces for the beamb) Write out the M(x) equation using discontinuity functions.c) Determine the slope and deflection equations by integrating the M(x) equation asneeded and using two B.C. to solve for the 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).A12A

Beam is given which is SSB we know deflection at supports are zero and slope at centre is zero from…

Answered: A simply supported beam carrie a)…

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

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

Beams and Frames

A beam is a horizontal structure or a member which is always subjected to transverse shear loads.

Question

A simply supported beam carries a moment applied to one end as shown. El 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 B.C. to solve for the 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).
A
12A

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