T13.4 Beam Deflections

T13.4 Beam Deflections - Beam Deflections T13.4 Recall from...

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Beam Deflections T13.4
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V (lbs) M (lb-in) 1050 -400 -150 -950 -1600 3912 deflected shape Recall from T13.1:
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Moment-Curvature Relationship Recall from T13.2: y  11 1 1/ () ( ) ( ) y yE My I M EI Mx E x I x M
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Governing Differential Equation 2 2 3/2 2 curvature of ( ) 1 dv dx vx dv dx       2 2 2 () ( ) ( ) 1 Mx dx E x I x dv dx From MATH 103:
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M (lb-in) V (lbs) M (lb-in) 1050 -400 -150 -950 -1600 3912
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Discontinuity Functions   0, 0 : ,0 n n xa x a x a     Macaulay’s bracket, < > 0 1 2 x x=a x x=a x x=a Step function Heaviside function Ramp function Parentheses, ( )
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T13.4 Beam Deflections - Beam Deflections T13.4 Recall from...

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