A two-span continuous beam is loadedwith a concentrated force at point C anda uniformlydistributed load at span AB. The supportat point A settles 12 mm.Young's modulus is E=200 GPa, and themoment of inertia of the beam is I =500x106 mm 4.(1) Prove that the beam is staticallyindeterminate to 1st degree.(2) Use the Force Method to determinesupport reactions at A, B and D.(3) Draw the shear force and bendingmoment diagrams for the beam.12 mmsettlement3 kN/mOB2m4 kN2m

A continuous beam ABD, which is roller supported at A and B and pinned supported at D. Section AB is…

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

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.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

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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