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Structural Concrete - Hassoun

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Appendix C <strong>Structural</strong> Aids 1017<br />

Table C.1<br />

(Continued)<br />

10. Two symmetrical concentrated loads:<br />

R A = R B = V A = V B = P<br />

M max = Pa<br />

Δ max = PL3<br />

6EI<br />

[ ( ) ]<br />

3a a<br />

3<br />

4L − L<br />

(at midspan)<br />

11. Two concentrated loads:<br />

P(b + 2c)<br />

R A = V A =<br />

L<br />

P(b + 2a)<br />

R B = V B =<br />

L<br />

Pa(b + 2c)<br />

M C =<br />

L<br />

Pc(b + 2a)<br />

M D =<br />

L<br />

12. Two concentrated loads at one-third points:<br />

R A = R B = V A = V B = P<br />

M max = PL<br />

3<br />

Δ max = 23PL3<br />

648EI<br />

(at midspan)

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