HW

Problem 1. For the truss and loading shown below, calculate the horizontal

displacement of point "D" using the method of virtual work. Show ALL your work!

HW No. 8 - Part 1 Solution

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Problem 1 Continued

Member L (in.) N (lb) N (in) NnL

HW No. 8 - Part 1 Solution

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Problem 2. For the truss and loading shown below, calculate the horizontal

displacement of point "C", and the vertical displacement of point "C", using the method

of virtual work. Show ALL your work!

HW No. 8 - Part 1

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Problem 2 Continued

HW No. 8 - Part 1

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Problem 2 Continued

Member L (in) A (in2) N (lb) nHoriz (lb)

nVert. (lb)

NnHorizL /AE

NnVertL

AB 240 4.0 16,000 0 1.333 0 0.0427

AD 300 5.0 -20,000 0 -1.666 0 0.0666

BC 300 5.0 20,000 0 1.666 0 0.0666

BD 180 4.0 -12,000 0 -1.0 0 0.0181

CD 240 4.0 -6,000 1 -1.333 0.016 0.0160

HW No. 8 - Part 1

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Problem 3. For the beam shown, calculate the vertical deflection at Point C using

Virtual Work and integration tables. E=1.5x106 psi.

HW No. 8 Problem 3

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Problem 3 Continued

HW No. 8 Problem 3

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Problem 4. For the beam shown, calculate the vertical deflection at Point C using

Virtual Work and integration tables. E=1.5x106 psi.

HW No. 8 Problem 4

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Problem 4 Continued

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Problem 4 Continued

HW No. 8 Problem 4

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