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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74 ILLINOIS ENGINEERING EXPERIMENT STATION<br />
Pa? 1<br />
w -= - - (f( cosh ay - sinh ay<br />
273N ...... n3<br />
+ ay cosh ay - f3 ay sinh ay) sin au sin ax<br />
Qila 2 1 nr<br />
3- - (f2 cosh ay -f4 ay sinh ay) sin sin ax<br />
W , .. na 3<br />
'(181)<br />
Q 2 a 2<br />
n1 fl<br />
3 (f2 cosh ay -f4 ay sinh ay) sin - sin ax.<br />
7rN .,..6.. n 3<br />
The deflection of each of the edge beams is then<br />
1 Pa 2 1<br />
z = w<br />
Sb 2WN ,- n 3<br />
f2 sin au sin ax<br />
Qa 2 1 nr<br />
f- sin - sin ax (182)<br />
S .. n 3 3<br />
Q 2 a 2 1 n2r<br />
-- f7 sin - sin ax.<br />
r 3 .. n4 3<br />
The conditions<br />
give the relations<br />
S = =0<br />
J b J =b<br />
x=a/3 x=2a/3<br />
S1<br />
fln<br />
2 sinau sin -<br />
P 1 . n 3 3<br />
2nr<br />
1<br />
E<br />
fy f 7 sin 2 -<br />
1,,8,- n3 3<br />
1 fnlr<br />
> f2 sin au sin -<br />
P n.. 3<br />
Q 2 = -------------<br />
Q2_n f7 sin2-<br />
2,,... n 3<br />
'(183)<br />
The quantities fl, f2, fa, f4 and f7 are given in Appendix B.
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