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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:
Moment-Curvature Relationship Recall from T13.2: y   1 1 1 1 / ( ) ( ) ( ) y y E My I y E M EI M x E x I x       M

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Governing Differential Equation 2 2 3/2 2 curvature of ( ) 1 d v dx v x dv dx 2 2 3/2 2 ( ) ( ) ( ) 1 d v M x dx E x I x dv dx From MATH 103:
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 x a x a x a x a Macaulay’s bracket, < > 0 x a 1 x a 2 x a x x=a x x=a x x=a

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