A two-span continuous beam is loaded with a concentrated force at point C and a uniformly distributed load at span AB. The support at point A settles 12 mm. Young's modulus is E = 200 GPa, and the moment of inertia of the beam is I = 500×106 mm 4. (1) Prove that the beam is statically indeterminate to 1st degree. (2) Use the Force Method to determine support reactions at A, B and D. (3) Draw the shear force and bending moment diagrams for the beam. 12 mm settlement 3 kN/m 2m 4 KN

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A two-span continuous beam is loaded
with a concentrated force at point C and
a uniformly
distributed load at span AB. The support
at point A settles 12 mm.
Young's modulus is E
=
200 GPa, and the
moment of inertia of the beam is I =
500x106 mm 4.
(1) Prove that the beam is statically
indeterminate to 1st degree.
(2) Use the Force Method to determine
support reactions at A, B and D.
(3) Draw the shear force and bending
moment diagrams for the beam.
12 mm
settlement
3 kN/m
OB
2m
4 kN
2m
Transcribed Image Text:A two-span continuous beam is loaded with a concentrated force at point C and a uniformly distributed load at span AB. The support at point A settles 12 mm. Young's modulus is E = 200 GPa, and the moment of inertia of the beam is I = 500x106 mm 4. (1) Prove that the beam is statically indeterminate to 1st degree. (2) Use the Force Method to determine support reactions at A, B and D. (3) Draw the shear force and bending moment diagrams for the beam. 12 mm settlement 3 kN/m OB 2m 4 kN 2m
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