CES 3102 HW 4 Fall 2010_solutions

CES 3102 HW 4 Fall - CES 3102 Influence lines 2 pages HW#4 assigned due NAME Draw the influence lines for the reactions(By Dy the shear just to the

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CES 3102 HW #4 assigned 10/13/10 due 10/21/10 Influence lines – 2 pages NAME_______________________________ Draw the influence lines for the reactions (By, Dy), the shear just to the right of B ( R V B ), and the moment at C (M C ). Next, find the worst case moment at C (pos or neg) due to the three point load configuration moving over the beam from left to right. Find the value of shear to the right of B as the loads are configured to find worst case moment at C. C B D A 7 ft 5 ft 6 ft 20 k 8 k 15 k 8 ft 4 ft IL By IL Dy IL R V B IL M C 1 18/11 1 -7/11 1 30/11 -42/11 7/11 By = 18/11 – x/11 Dy = -7/11 + x/11 = -Dy 0 < x < 7 = By 7 < x < 18 = 6*Dy 0 < x < 12 = 6*Dy – 1(x-12) 12 < x < 18 1) 8k @ C Mc = 8(30/11) + 15(1)(.5454) + 20(-42/11) = -46.36 k R V B = 8(6)(1/11) + 15(10)(1/11) +20(7/11) = 30.73 2) 15K @ C Mc = 8(2)(.4545) + 15(30/11) - 20(3)(.5454) = 15.46 k R V B = 8(2)(1/11) + 15(6)(1/11) + 20(3)(1/11) = 15.09 3) 20K @ C Mc = 8(0) + 15(0) + 20(30/11) = 54.55 k R V B = 8(0) + 15(0) + 20(6)(1/11) = 10.91 Slope = .5454 Slope = .4545 Slope = 1/11 Slope = 1/11
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This note was uploaded on 05/17/2011 for the course CES 3102 taught by Professor Gurley during the Fall '10 term at University of Florida.

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CES 3102 HW 4 Fall - CES 3102 Influence lines 2 pages HW#4 assigned due NAME Draw the influence lines for the reactions(By Dy the shear just to the

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