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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 the method of sections we can investigate the loading acting within a member
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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
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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 = = - + =
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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.
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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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