IN BEAMS SUBJECTED TO TRANSVERSE STRAIN. 
235 
Using this ratio, the values of 9 and f, derived from the formula 
F 
9— i)/g/ 
and f=(pm, 
as applied to each of the experiments, are given below : — 
No. 1. 
<P= 
No. 2. 
No. 3. 
No. 4. 
p= 
No. 5. 
p= 
No. 6. 
p= 
No. 7. 
pz= 
— 1 7 1 lbs„ /= 1 8.537 lbs, 
■^2'012x-670 
=22,904 lbs., /= 18,323 lbs. 
1-348 ■■ 
=22,890 lbs., 7=18,312 lbs. 
28032 
, D97X-301 
1-348 
374O8 
• 84 - 
3-01 X -322 
1-348 
= 22,606 lbs., /= 18,085 lbs. 
= 24,626 lbs., /= 19,501 lbs. 
*8 + 
f.y/°.3,o =22,l67 lbs., /= 17,734 lbs. 
1-348 
279O8 
-8-f 
1-56 X -262 
1-348 
=25,302 lbs., /=20,242 lbs. 
These results, though not exhibiting complete regularity, are sufficiently uniform 
to indicate that the assumed law of the variation of this resistance is a close approxi- 
mation to the truth. It will be observed also, that Nos. 2, 3, 4 and 6, give a smaller 
value of p than Nos. 1, 5 and 7, which probably arises from the difference in the 
proportion which the distance between the vertical ribs bears to the depth of the 
metal ; a circumstance which would affect, to some extent, the form of the curve of 
deflection. 
F D'8' 
In the formula p= represents the ratio of the depth of metal in each 
beam multiplied by its deflection, to the depth of metal in the solid beam multiplied 
by its deflection. But the deflections, as might have been expected from known laws, 
were nearly in the inverse ratio of the total depths of each girder ; therefore the de- 
gree of flexure, and consequently the resistance to flexure in each, will be nearly as 
the depth of metal divided by the total depth of the girder, and we are thus enabled 
MDCCCLV. 2 K 
