Lecture 19 11-1

Lecture 19 11-1 - 1:31 PM Lecture 19-21 Page 6 Example 1...

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Analysis of beams often involves dealing with distributed loads! To do equilibrium analysis we replace the distributed load, by an equivalent force couple system. This involves replacing the distributed loading with concentrated loads at the centroid of the distribution being replaced. 2 D equilibrium analysis of beams Tuesday, October 25, 2011 1:09 PM Lecture 19-21 Page 1
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08_33 Sign Convention for Graphing V(x) vs x and M(x) vs x Tuesday, October 25, 2011 1:19 PM Lecture 19-21 Page 2
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P_09_02 Ex Distributed loads Tuesday, October 25, 2011 2:07 PM Lecture 19-21 Page 3
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P_09_03 Ex Distributed loads Tuesday, October 25, 2011 2:09 PM Lecture 19-21 Page 4
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P_09_04 Ex Distributed Loads Tuesday, October 25, 2011 2:47 PM Lecture 19-21 Page 5
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The plot tells us what the shear force V, and bending moment M are for a cross-section. When oriented this way, these quantities are plotted positive. Right end Left end + Plot/graph of V(x) vs x and M(x) vs x Tuesday, October 25, 2011
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Unformatted text preview: 1:31 PM Lecture 19-21 Page 6 Example 1 Tuesday, October 25, 2011 1:33 PM Lecture 19-21 Page 7 Lecture 19-21 Page 8 Example 2 Tuesday, October 25, 2011 1:34 PM Lecture 19-21 Page 9 5.2 Do Statics to find reactions at A and C. Do Statics with length “x” to determine equations for V, and M. x x P A C L Pb A L Pa C CL Pa M P C A Fy A Pb/L V M x L Pb M x L Pb M M L Pb V V L Pb Fy V x 0<x<a V x M x P Pb/L x M V x L L Pa M a x P x L Pb M M L Pa V V P L Pb Fy V a<x<L Pab/L Pb/L-Pa/L Example using equilibrium to calculate V(x) and M(x) Tuesday, October 25, 2011 1:35 PM Lecture 19-21 Page 10 P_09_02 Ex V(x) and M(x) Tuesday, October 25, 2011 2:07 PM Lecture 19-21 Page 11 P_09_03 Ex V(x) and M(x) Tuesday, October 25, 2011 2:09 PM Lecture 19-21 Page 12 P_09_04 Ex Eqn V(x) and M(x) Tuesday, October 25, 2011 2:47 PM Lecture 19-21 Page 13...
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Lecture 19 11-1 - 1:31 PM Lecture 19-21 Page 6 Example 1...

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