‘34 APPLIED MECHANICS 
=i 
a 
pe. 
26. —312°5foot-tons; +175°8 foot-tons; 62°5 tons at centre; 18°75 tons at e 
wl2 , 3EIz 
aT: oe Py 
span in inches, E is in tons per square inch, and I is in inch-units. 
28. 10°51 tons, or 0°263 tons per foot. 29. 159% tons ; 444}$ tons; O54 te 
66°46 tons; 234°84 tons ; 73°7 tons ; — 2104 ‘foot- tons. 
. M,= - 2707 foot-tons ; M,,= — 1382 foot-tons. 35. 115; 100, 
IXa. pp. 151-153. 
2.1; 0866, 4. f= pq; tan 0= (2) 
wa inch-tons ; ~ jg ;—inch-tons, where L is the length of e 
x 
Fis 
2 
i U 
p=fcotd; q=ftand; s=f(tan @—cot 6). 6. 49,672; 12,418. 
z 9, 763. 8. 3-876 inches, 9. 3119. 10. 338°7. 11. 4 inches’; ; 2°98 inc 
12. Bending moment, 432 inch-tons; twisting moment, 288 inch-to 
stress, 0°5855 ton per square inch. 
13. 36,000 inch-lbs, at A; 3487 inch-lbs. at C. eis 
14. 36,000 inch-lIbs. at A; 26,358 inch-lbs. at C. ie 
15. (a) B, 4°47 inches ; G, 5°03 inches ; D, 4°75 inches ; a, 
(b) B, 4°68 inches; C, 5-05 inches; D, 4:77 inches, ie 
16. 345 lbs. per square inch. Ee 
17. Maximum shear stress § ton per square inch on each section ; im 
direct stresses § and }§ ton per square inch on the respective sections. 2 
19. 4324 tons per square inch; 1°035, a 
20. (a) 4500; (b) 3122; (ce) 6000 ; (d) 4500; (e) 4153; (jf) 22 
(g) 2068. 21. 0'81. re 
IXb. pp. 159-161. ; 
1. 12-108; 4-629 tons per square inch. 2. 20 tons; 4- ‘inch. 3. 4d. 7 
Soa rp compressive ; ; 3°298 tons “aa ca ‘ian 
inch. Tas "|. pee 
6. 1-674,/W ; compressive ; 4°09] tons per Bs; < Bea Mt 
square inch, 4 <@ —- 
7. (a) 2958; (0) 3471, 8. 0:336./W. S&, 3 Sul 
9. 3°32 tons per square inch; 3°53 tons 8 Bg sS> = 
per square inch. & ' Bs 
10. 55°55 feet. So ra 
12. 0:0736 cubic inch, or 0:0077 per cent. “5:6. ¥. Sn on 
13. 34 tons per square inch ; <3#, inch. Radius in inches. — 
14. (a) 0°00033; (b) 0°00029. Fig. 845. i 
15. E=29,878, 000 lbs. per square inch; 
C=11,672, 000 Ibs. per square inch ; K=22, 625, 000 lbs. per square inch ; Poisson 
ratio=0°2799. 
16. 5 inches ; 1000 lbs. per square inch, 17. 973. 18. 1°32 inches. . 
19. 1585 lbs. per square inch; 2300; 1877; 1603; 1415. 
X. pp. 168-169. 
1. 14-9 lbs. 2. 324-5 tons. 8. 24-13tons, 4. 42-4. 6. 4:10 inches. 
7. 4:11 inches; 37:4. 8. 12°65 inches; 10°12 inches, 9. 6°2 inches. 
10. 62,112 lbs, 11. ./7°66 inches ; 220°6 tons. 
12. 106: 3 tons, with factor of safety 5. 18. 1-045 inches. 
15. 4°7 inches; 0°47 inch. 
XI. pp. 187-190. 
3. (0) = Ses ag 3) 44; (d) ral ara 5040. 
ORs e=773 ; ; e= 26. yal Wir ae & a=673: 
8. c=11+5., rs 26° 31 tons per elon inch; »=0°29. 
10. 21°18 tons per square inch; 4=0°445, 11. 3°4 square inches 
b= 40. 
21. See Fig. : 
