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Solutions for certain rectangular slabs continuous over flexible ...

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SOLUTIONS FOR CERTAIN RECTANGULAR<br />

SLABS<br />

(1 + A) P B 1<br />

M= - log,--<br />

S 8r A 1<br />

1-A P 1 1 (y+v)<br />

+ 3+.8a [(3+M)v-(1- )y] (--) sinh y<br />

cosh 7r(v +y) r(x-u)<br />

cosh cos -1<br />

(1 - 1A)2 Pirvy a a<br />

3 + i 4a 2 B2<br />

(82)<br />

In these equations<br />

A,}=<br />

B,<br />

cosh<br />

c r (v + y)<br />

cosh - a<br />

7r (v + y)<br />

a<br />

- cos<br />

r(x + u)<br />

cos -- 1<br />

a<br />

I<br />

A? J-<br />

r (x + u)<br />

a<br />

15. The Finite Edge Supported by a Flexible Beam.-Let the slab<br />

at Edlge of S/cIa<br />

FIG. 17<br />

be as shown in Fig. 17 with the x axis coinciding with a <strong>flexible</strong> beam<br />

which is simply supported at x = 0 and at x = a.

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