102 APPLIED MECHANICS 
1. Cantilever (Fig. 132). W=2 tons. Linear scale, 1 inch to 1 foot. Force 
scale, 1 inch to 1 ton. Moment scale, 1 inch to 4 foot-tons, 
2. Cantilever (Fig. 133). Uniform load of 2 tons per foot. Scales.—Linear, 
1 inch to 1 foot. Forces, 1 inch to 4tons. Moments, 1 inch to 8 foot-tons. ~ 
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PN Gene ee ee 
Fig. 132. Fig. 133. Fig. 134. Fie. 135. 
3. Cantilever (Fig. 134). Loads in tons at intervals of 1 foot. Scales. — 
Linear, 1 inch to 1 foot. Forces, 1 inch to 4 tons. Moments, 1 inch to 8 foot- 
tons. 
4. Cantilever (Fig. 135). A load of 2 tons at 1 foot from the fixed end, a 
load of 1 ton at the free end, and a load of 4 tons uniformly distributed over the 
second and third feet of the length from the free end. Scales.—Linear, 1 inch 
to 1 foot. Forces, 1 inch to 4 tons. Moments, 1 inch to 5 foot-tons. 
5. Beam resting on supports 12 feet apart. Load of 5 tons at the centre. 
Scales.—Linear, 4 inch 
to 1 foot. Forces, 1 inch yu \& uy A 
' tou ' ' 
to 2 tons. Moments, 1 = FE) i 16> - 2 2 144 
inch to 8 foot-tons. = = = EE} 
6. Same as Exercise eT Vi; a aa 
5, except that the load 10 1 6 , 
is placed at 2 feet from Fic. 136. fie, sf. 
the centre of the span. 
7. Beam (Fig. 136) resting on supports 10 feet apart. Uniform load of $ ton 
per foot. Scales.—Linear, 4 inch to 1 foot. Forces, $ inch to 1 ton. Moments, 
4 inch to 1 foot-ton. 
8. Beam resting on supports 6 feet apart. Loads in tons, at intervals, as 
shown in Fig. 137. Scales.—Linear, 1 inch to 14 feet. Forces, 2 inches to 
lton. Moments, 2 inches to 1 foot-ton. é 
9. Cantilever, 10 feet long, carrying a central downward load of 8 tons, and 
an upward load of 24 tons at the free end. Scales—Linear, 1 inch to 2 feet, 
Forces, 1 inch to 4 tons. Moments, 1 inch to 8 foot-tons, ‘ 
10. Beam (Fig. 138) resting on supports 12 feet apart. Load of 5000 Ibs. 
uniformly distributed over the middle third of the span. Scales.—Linear, 3 inch 
to 1 foot. Forces, 1 inch to 2000 lbs. Moments, 1 inch to 5000 ft.-lbs. 
11. Same as Exercise 10, except that the load is to be moved forward until 
one end of it is at the centre of the span. 
12. Girder, 40 feet long, resting on supports, as shown in Fig, 139, Uniform 
Fig. 138. Fig. 139. 
load of 1 ton per foot. 2,=7 feet 6 inches. Scales.—Linear, } inch to 1 foot, 
Forces, 1 inch to 8 tons. Moments, 1 inch to 16 foot-tons. 
13. Same as Exercise 12, except that 1, 
=10 feet. ~ 
14. Same as Exercise 12, except that the 
supports are to be placed so as to make - 
the maximum bending moment the least : 
possible. a BFS ecrod Se 13! es —y, 
15. Same as Exercise 12, with a central : 
load of 10 tons added. Fira. 140. 
16. Beam (Fig. 140) resting on supports « 5 
13 feet apart. The load increases at a uniform rate from nothing at one end. 
