Draw the shear force and bending moment diagrams

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Draw the shear force and bending moment diagrams (Kindly show the calculations)

A beam is loaded with a uniformly distributed load between the two roller supports and a single load at the overhang.
It also has two internal hinges - one midway between the fixed support and the first roller support and the other
midway between the two roller supports. Refer to the figure below for the magnitude of the loadings and dimensions.
a) Draw the FBD of the beam and determine if the beam is statically determinate or indeterminate.
75 kN/m
100 KN
12.5 m
12.5 m
7.5 m
7.5 m
10 m
b) If the beam is statically determinate, analyse it using the equilibrium equations. If the beam is statically
indeterminate, analyse it using structural indeterminate methodologies such as setting up and solving the equations
of equilibrium, equations of compatibility, and force-displacement relations.
RASE
Transcribed Image Text:A beam is loaded with a uniformly distributed load between the two roller supports and a single load at the overhang. It also has two internal hinges - one midway between the fixed support and the first roller support and the other midway between the two roller supports. Refer to the figure below for the magnitude of the loadings and dimensions. a) Draw the FBD of the beam and determine if the beam is statically determinate or indeterminate. 75 kN/m 100 KN 12.5 m 12.5 m 7.5 m 7.5 m 10 m b) If the beam is statically determinate, analyse it using the equilibrium equations. If the beam is statically indeterminate, analyse it using structural indeterminate methodologies such as setting up and solving the equations of equilibrium, equations of compatibility, and force-displacement relations. RASE
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