CH_6_Bending - 5/11/09 Graphical Method Slope of shear...

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Click to edit Master subtitle style 5/11/09 CH 6—Bending E MCH 13
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5/11/09 Important Concepts Shear and Force Diagrams Graphical Method: ; Straight member Deformation: Flexure Formula: ;
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5/11/09 Boundary Conditions 1
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5/11/09 Sign Convention Positive directions: Distributed load acts downward on the beam Internal shear force cases a clockwise rotation of the beam Internal moment causes compression on the top 2 1
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5/11/09 Important points Origin generally located at left end of Beam Shear and moment function will be discontinuous across discontinuous loadings Need to determine shear and moment functions for each region of the beam between discontinues loadings
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Unformatted text preview: 5/11/09 Graphical Method Slope of shear diagram= -load intensity: Slope of Moment diagram= shear : So: Where c1 and c2 are determined by 5/11/09 Straight member Deformation The Neutral Axis does not change in length All cross sections of the beam remain plane and perpendicular to Neutral Axis Longitudal normal strain varies Linearly: 5/11/09 Flexure Formula Normal stress, Using hooks law ( ), also varies linearly: Compression is negative, while Tension is positive 5/11/09 Flexure Formula (cont) The maximum normal stress occurs furthest away from the neutral axis Since:...
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CH_6_Bending - 5/11/09 Graphical Method Slope of shear...

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