Solutions for certain rectangular slabs continuous over flexible ...
Solutions for certain rectangular slabs continuous over flexible ...
Solutions for certain rectangular slabs continuous over flexible ...
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SOLUTIONS FOR CERTAIN RECTANGULAR<br />
SLABS<br />
32. Rectangular Slab Having Two Opposite Edges Simply Supported<br />
and Two Edges Supported on Beams Which Are Continuous<br />
Over Interior Supports at the Third-Points; Load Uni<strong>for</strong>mly Distributed<br />
Z oad'f p& /- Al-c7<br />
Fia. 33<br />
Over the Entire Slab.-For the entire slab shown in Fig. 33 the deflection<br />
is given by the equation<br />
4pa 4 1<br />
w - E (1 - b 3 cosh ay + c3 ay sinh ay) sin ax<br />
75'N ,a,n,., 5<br />
2Qa 2 1 nr I1(184)<br />
N ..... n 3<br />
The deflection of each of the edge beams is<br />
S 4pa 4 1 2Qa 2 1<br />
S-- 2 d3 d sin x -- -f7 sin - sin ax. (185)<br />
S= b 17 n5 3,, n 3 3<br />
The condition<br />
gives the interior reaction<br />
z =0<br />
J xa/l3<br />
1 nvr<br />
pE<br />
a 2 d 3 sin--<br />
pa 1,3,. n 5 3<br />
Q =- (186)<br />
27 2 1 nr<br />
E- /f7 sin2 -<br />
,,. n" 3<br />
The quantities b 3 , c 3 , d 3 , f2, f4 and f7 are given in Appendix B.
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