L21 - Exam III next Friday 2pm (April 18) Location: TBA...

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Exam III • next Friday 2pm (April 18) • Location: TBA • Covers Chapters 7-9 (L16-L21) • 1 page crib sheet- double sided (no worked-out problems) • 4 problems • Sample exam will be posted on blackboard
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Ch9 Deflection of Beams • Last class • Develop M(x) for section AB • Integrate differential equation twice and apply boundary conditions • Find reaction forces/moments • derive differential equation for elastic curve using . () 2 2 dy E IM x dx =
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Ch9: Deflection of Beams Method of Superposition Principle of Superposition: • linear combination of the deformations from the individual loadings • Procedure is facilitated by tables of solutions for common types of loadings and supports .
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For the beam and loading shown, determine the slope and deflection at point B . Superpose the deformations due to Loading I and Loading II
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Loading I () EI wL I B 6 3 = θ EI wL y I B 8 4 = Loading II EI wL II C 48 3 = EI wL y II C 128 4 = In beam segment CB, the bending moment is zero and the elastic curve is a straight line.
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L21 - Exam III next Friday 2pm (April 18) Location: TBA...

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