. Theory of structures and strength of materials. wheel, per inch of length, when the wheel is at rest andthe speed at w^hich the wheel must revolve to make the tire cease toexert any radial pressure. 60. A countershaft, 10 ft. between bearings, carries two 24-in. pulleys,the one 2 ft. and the other 5 ft. from a bearing. Assuming that the tightis twice the slack tension, determine {a) the equivalent twisting momenton the shaft, (b) the diameter of the shaft, ic) the angle of torsion whenone pulley receives and the other transmits 50 H. P. at 80 revolutionsper minute, the belts being horizontal
. Theory of structures and strength of materials. wheel, per inch of length, when the wheel is at rest andthe speed at w^hich the wheel must revolve to make the tire cease toexert any radial pressure. 60. A countershaft, 10 ft. between bearings, carries two 24-in. pulleys,the one 2 ft. and the other 5 ft. from a bearing. Assuming that the tightis twice the slack tension, determine {a) the equivalent twisting momenton the shaft, (b) the diameter of the shaft, ic) the angle of torsion whenone pulley receives and the other transmits 50 H. P. at 80 revolutionsper minute, the belts being horizontal and on opposite sides of the shaft, Ans. (a) ^5 ; {b) in.,y being 10,000 lbs. ; {c) 2,06 minutes, G being 12,000,000 lbs. APPENDIX I. RECIPROCAL DIAGRAMS OF STRESS. (Chapter I.) An examination of the Frame and Stress Diagrams, Figs. 4 and 5,page 3, shows— (i) That if the lines representing external forces on parts of the framediagram meet in a point, the corresponding Lines in the stress diagramwill form a closed (2) That if the lines representing parts of the frame diagram form aclosed polygon, the corresponding lines in the stress diagram will meetin a point. 822 RECIPROCAL DIAGRAMS OF STRESS. 823 {3) That if lines meet at a point in the stress diagram the corre-sponding lines in the frame diagram are contiguous, and form eithernon-closing or closed polygons. (4) That of all the stress diagrams which can be drawn for a givenframe under given loads, there is only one which satisfies the three re- I f-- ;p
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