Chapter_07_2 - Chapter7 InternalForces 03/16/10...

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03/16/10 Chapter 7 - Internal Forces 1 Chapter 7 Internal Forces
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03/16/10 Chapter 7 - Internal Forces 2 Objectives 1. To show how to use the method of sections  for determining the internal loadings in a  member 2. To generalize the procedure by formulating  equations that can be plotted so they  describe the internal shear and moment  throughout a member 3. To analyze the forces and study the  geometry of cables supporting a load
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03/16/10 Chapter 7 - Internal Forces 3 Shear Force and Bending  Moment Diagrams BEAM  is a long, slender, structural  member designed to support transverse  loadings. A transverse loading is applied  perpendicular to the axis of the beam. Beams classified by their supports.
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03/16/10 Chapter 7 - Internal Forces 4 Need to know the internal shear force and the internal bending moment at all locations in the beam. This information is usually presented as a graph or diagram of these values vs. position.
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03/16/10 Chapter 7 - Internal Forces 5
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03/16/10 Chapter 7 - Internal Forces 6 P w a L b x 1 x 2 x 3 Simply Supported Beam
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03/16/10 Chapter 7 - Internal Forces 7 P w a L b x 1 x 2 x 3 Cantilever Beam
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03/16/10 Chapter 7 - Internal Forces 8
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03/16/10 Chapter 7 - Internal Forces 9 Sign Convention 1. Positive Shear Force will cause a  clockwise rotation of the member on  which it acts. 2. Positive Bending Moment will cause  compression on the top surface of the  beam.
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03/16/10 Chapter 7 - Internal Forces 10 V V V V Positive Shear
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03/16/10 Chapter 7 - Internal Forces 11 M M M M Positive Moment
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03/16/10 Chapter 7 - Internal Forces 12 M M Compression Tension Positive Moment
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03/16/10 Chapter 7 - Internal Forces 13
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Chapter_07_2 - Chapter7 InternalForces 03/16/10...

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