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ENGR 213001 Sp17 / HW CH 10

*P10.050 GO Multipart

*Part 1

Correct

You will analyze four different beams. For each beam and loading, determine the beam deflection at

point H. Assume that EI = 1.5 × 10 7 kipin.

2 is constant for each beam. Remember that a positive

deflection is up and a positive rotation is counterclockwise.

Here is Beam 1.

Assume LAB=7 ft, LBH=9 ft, MB=45 kipft.

For Beam 1, determine the deflection and rotation angle at point B.

Answers: vB1 = in., rad.

Answer *1: the tolerance is +/2%

Answer *2: the tolerance is +/2%

*Part 2

Correct

For Beam 1, determine the deflection at point H.

Answer: vH1 = in.

the tolerance is +/2%

*Part 3

0.127 0.00302

0.45

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Incorrect

In Appendix C, see the simply supported beam with a concentrated force P which does not act

at beam midspan. Here, for the purpose of calculating the rotation angle at point C due to P,

the portion of the beam from C to H can be ignored, and the beam can be treated as a simply

supported beam of length AC. Be careful with units and the sign convention.

Here is Beam 2

Assume LAB=13 ft, LBC=8 ft, LCH=5 ft, P=15 kips.

For Beam 2, determine the rotation angle at point C.

Answer: rad.

the tolerance is +/2%

*Part 4 For Beam 2, determine the deflection at point H.

Answer: vH2 = in.

the tolerance is +/2%

*Part 5

Correct

Here is Beam 3.

Assume LAH=5 ft, LHB=10 ft, w=2.0 kips/ft.

0.084 *1

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For Beam 3, determine the deflection at point H.

Answer: vH3 = in.

the tolerance is +/2%

*Part 6

Incorrect

In Appendix C, see the cantilever beam with a uniformly distributed load. For this calculation,

the portion of the beam from A to B can be ignored. The beam is treated as a cantilever beam

of length AB that is fixed at A. Be careful with units and the sign convention.

Here is Beam 4.

Assume LHA=9 ft, LAB=23 ft, w=4.0 kips/ft.

For Beam 4, determine the cantilever deflection of the beam at point H due to the uniformly

distributed load 4.0 kips/ft between point A and point H. This is the deflection that would be

calculated at point H assuming a fixed support at A.

Answer: vH4a = in.

the tolerance is +/2%

*Part 7

0.816

0.472 *1

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For Beam 4, determine the magnitude (report a positive number) of the bending moment at point A

due to the uniformly distributed load 4.0 kips/ft between point H and point A.

Answer: MA = kipft.

the tolerance is +/2%

*Part 8 For Beam 4, determine the rotation angle at point A due to the moment produced at A by the

uniformly distributed load 4.0 kips/ft between point H and point A.

Answer: rad.

the tolerance is +/2%

*Part 9 For Beam 4, determine the component of the deflection at point H due to the rotation angle at A.

Answer: vH4b = in.

the tolerance is +/2%

*Part 10 For Beam 4, determine the total deflection at point H.

Answer: vH4 = in.

the tolerance is +/2%