Mechanics of materials

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Print by: SALEH HUSSAIN ENGR 213-001 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 = 1.0 × 107 kip-in.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=8 ft, MB=45 kip-ft.

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.

-0.191 -0.004536

-0.627

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the tolerance is +/-2%

*Part 3

Correct Here is Beam 2

Assume LAB=14 ft, LBC=8 ft, LCH=4 ft, P=15 kips.

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

Answer: rad.

the tolerance is +/-2%

*Part 4

Correct For Beam 2, determine the deflection at point H.

Answer: vH2 = in.

the tolerance is +/-2%

*Part 5

0.00659

0.316

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Correct

Here is Beam 3.

Assume LAH=4 ft, LHB=8 ft, w=2.5 kips/ft.

For Beam 3, determine the deflection at point H.

Answer: vH3 = in.

the tolerance is +/-2%

*Part 6

Correct Here is Beam 4.

Assume LHA=6 ft, LAB=18 ft, w=3.0 kips/ft.

For Beam 4, determine the cantilever deflection of the beam at point H due to the uniformly distributed load 3.0 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.

-0.6266

-0.084

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the tolerance is +/-2%

*Part 7

Correct For Beam 4, determine the magnitude (report a positive number) of the bending moment at point A due to the uniformly distributed load 3.0 kips/ft between point H and point A.

Answer: MA = kip-ft.

the tolerance is +/-2%

*Part 8

Correct For Beam 4, determine the rotation angle at point A due to the moment produced at A by the uniformly distributed load 3.0 kips/ft between point H and point A.

Answer: rad.

the tolerance is +/-2%

*Part 9

Incorrect

The component of the deflection at H due to the rotation angle at point A equals the rotation angle times the distance from point A to point H. Be careful with units and the sign convention. A downward deflection is negative, and an upward deflection is positive.

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

0.00466

0 *1

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Correct For Beam 4, determine the total deflection at point H.

Answer: vH4 = in.

the tolerance is +/-2%

-0.419