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Solutions for certain rectangular slabs continuous over flexible ...

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SOLUTIONS FOR CERTAIN RECTANGULAR SLABS<br />

represents the curves obtained from (189) <strong>for</strong> b/a = 0.2 and <strong>for</strong><br />

4.0 > H > 1.0 as may be seen from the plotted results shown in<br />

Fig. 35.<br />

The moments in the slab and beams may be obtained from the<br />

results of Sections 25 and 26, provided that the loads are assumed<br />

to be as shown in Fig. 34 (b) with Q given by Equation (189).<br />

34. Rectangular Slab Having Edge and Center Stringers and a Continuous<br />

Diaphragm on the Lateral Center Line; Concentrated Load at<br />

the Center of an Edge Stringer.-The slab with the actual loading is<br />

shown in Fig. 36 (a) and the slab without the diaphragm, but with<br />

(a)-Structure With Ditaphragmn<br />

(b)-Equizal/enf Sftructure<br />

-- 4--*----- b J<br />

(c) -D/aphragm<br />

FIG. 36<br />

an equivalent loading which includes the effect of the diaphragm, is<br />

shown in Fig. 36 (b). Under the same assumptions as are stated<br />

\in Section 33, one may combine previously given solutions to obtain<br />

the ratio of the load carried <strong>over</strong> by the diaphragm, 2Q, to the applied<br />

load, P. One finds<br />

2Q -k (f 6 - 2/ 2)<br />

P<br />

4<br />

EJ b 3 k(191)<br />

6 E1 -a (2f1 + f6- 4f2)<br />

6 E33 a" s..5.. n<br />

where the notation is the same as <strong>for</strong> Equation (189). Comparison<br />

between Equations (191) and (189) shows that they are identical<br />

except <strong>for</strong> one term in the numerator.<br />

Figure 37 shows the ratio 2Q/P computed from (191) <strong>for</strong> b/a = 0.2,

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