Cantilever beam AD is supported at A. A crossbar 2 m in length is welded at its center to the beam at C. Lengths AB, BC, and CD each are 2 m long. Find: (1) FAX, the x-component of FA, the resultant force at A (2) FAy, the y-component of FA (3) MAmag, the magnitude of the resultant couple moment

Cantilever beam AD is supported at A. A crossbar 2 m in length is welded at its center to the beam at C. Lengths AB, BC, and CD each are 2 m long. Find: (1) FAX, the x-component of FA, the resultant force at A (2) FAy, the y-component of FA (3) MAmag, the magnitude of the resultant couple moment

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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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

Cantilever beam AD is supported at A. A crossbar 2 m in
length is welded at its center to the beam at C. Lengths AB,
BC, and CD each are 2 m long.
Find:
(1) FAX, the x-component of FA, the resultant force at A
(2) FAy, the y-component of FA
(3) MAmag, the magnitude of the resultant couple moment
at A
Express your answers as Newtons and Newton-meters.
F1
a1
2 m
2m
F2
1m
1 m
V
Answer all numeric solutions with five significant figures.
F1 = 28.2 N
a1 = 64.1 deg
a2
F2
a2
2 m
F2 = 32.5 N
a1
F1
a2 = 33.9 deg

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