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Solution to Problem 618 | Double Integration Method

Problem 618
A simply supported beam carries a couple M applied as shown in Fig. P-618. Determine the equation of the elastic curve and the deflection at the point of application of the couple. Then letting a = L and a = 0, compare your solution of the elastic curve with cases 11 and 12 in the Summary of Beam Loadings.
 

Simply supported beam carrying a couple

 

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Solution to Problem 617 | Double Integration Method

Problem 617
Replace the load P in Prob. 616 by a clockwise couple M applied at the right end and determine the slope and deflection at the right end.
 

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Solution to Problem 616 | Double Integration Method

Problem 616
For the beam loaded as shown in Fig. P-616, determine (a) the deflection and slope under the load P and (b) the maximum deflection between the supports.
 

616-overhang-concentrated.jpg

 

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Solution to Problem 615 | Double Integration Method

Problem 615
Compute the value of EI y at the right end of the overhanging beam shown in Fig. P-615.
 

Overhang beam with uniform load at the overhang

 

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Solution to Problem 614 | Double Integration Method

Problem 614
For the beam loaded as shown in Fig. P-614, calculate the slope of the elastic curve over the right support.
 

Overhang beam with point at the end of overhang

 

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Solution to Problem 613 | Double Integration Method

Problem 613
If E = 29 × 106 psi, what value of I is required to limit the midspan deflection to 1/360 of the span for the beam in Fig. P-613?
 

Partially loaded simple beam

 

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Solution to Problem 612 | Double Integration Method

Problem 612
Compute the midspan value of EI δ for the beam loaded as shown in Fig. P-612.
 

Simple beam with uniform load

 

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Solution to Problem 611 | Double Integration Method

Problem 611
Compute the value of EI δ at midspan for the beam loaded as shown in Fig. P-611. If E = 10 GPa, what value of I is required to limit the midspan deflection to 1/360 of the span?
 

Simple Beam with Uniform Load to Half its Span

 

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Solution to Problem 610 | Double Integration Method

Problem 610
The simply supported beam shown in Fig. P-610 carries a uniform load of intensity wo symmetrically distributed over part of its length. Determine the maximum deflection δ and check your result by letting a = 0 and comparing with the answer to Problem 606.
 

Uniform Load Over Midspan Length

 

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Solution to Problem 609 | Double Integration Method

Problem 609
As shown in Fig. P-609, a simply supported beam carries two symmetrically placed concentrated loads. Compute the maximum deflection δ.
 

Symetrically Placed Concentrated Loads

 

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