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Chapter7

# Chapter7 - Mechanics Materials 1 Mechanics Chapter 7...

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Mechanics & Materials 1 Mechanics & Materials 1 FAMU-FSU College of Engineering Department of Mechanical Engineering Chapter 7 Chapter 7 Internal Loadings Internal Loadings

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Internal Loading Internal Loading Using a free body diagram of the … beam we obtain the reactions A x , A y , B x , B y .

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Internal Loading Internal Loading Consider Section AC only, equilibrium of the sections requires adding three components Force N along the axis of the beam is called axial loading Force V perpendicular to the beam axis is called shear force Moment M eliminates the moments of the forces N and V
Internal Force: Analysis Internal Force: Analysis Procedure Procedure Example: Determine the internal normal force, shear force, and the loading moment acting just to the left at point B, and just to the right at point C of the 6 kN force

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Internal Force Analysis Internal Force Analysis Step 1 Step 1 • Draw a free body diagram of the entire frame and use it to determine as many of the reaction forces at the supports as you can. KN A m A m KN m KN M y y D 5 0 ) 9 ( ) 6 )( 6 ( . 9 0 = = - + =
Internal Force Analysis Internal Force Analysis Step 2 Step 2 Dismember the frame and draw a free body diagram of each of its members: – write as many equilibrium equations as are necessary to find all the forces acting on the member on which the point of interest is located.

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Internal Force Analysis Internal Force Analysis Step 3 Step 3 Cut the member at a point of interest and draw a free body diagram of each of the two portions.
Select one of the two free body diagrams you have drawn and use it to write three equilibrium equations for the corresponding point of the body

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