Essentials in the theory of framed structures . s ABDG and AiBiDid are areas of the two segments are equal and the centers ofgravity are similarly situated. DH The slope of the line AD is rTj — 1,000 lb. The shear ordinate KL is 1,000 lb.; hence the line UV, which is tangent tothe parabola at B, has a slope of 1,000 lb., and is thereforeparallel to the line AD. The point B bisects the line Problems. 1-7; Determine the reactions algebraically, sketch the shear and bendingmoment diagrams, compute the values for critical ordinates and draw thediagrams to scale tor the beams shown


Essentials in the theory of framed structures . s ABDG and AiBiDid are areas of the two segments are equal and the centers ofgravity are similarly situated. DH The slope of the line AD is rTj — 1,000 lb. The shear ordinate KL is 1,000 lb.; hence the line UV, which is tangent tothe parabola at B, has a slope of 1,000 lb., and is thereforeparallel to the line AD. The point B bisects the line Problems. 1-7; Determine the reactions algebraically, sketch the shear and bendingmoment diagrams, compute the values for critical ordinates and draw thediagrams to scale tor the beams shown in Figs. 64 to 70 inclusive. The loads A 7 98 THEORY OF FRAMED STRUCTURES Chap. II and B in Fig. 65 are equal. In Fig. 66, A, B and C arefrictionless pegs. Therope passes over the upper pegs and under the lower one. The beams in , 68 and 69, are fixed in a wall at the left end. woo c 600 lb. per ft llliiiiiiiriiiiiiiiiii 11 N 11 I 111 Fig. lb. per ft ^ B eoo* 111111. IIIIIIIIIMIII IM1111111111 mr ;4J*---/6 TseoW^- 10- Fig. SO 80Fig. 66. ^<-- 12 -—^100* % J 300 1111111111111l 111 111111 -10 800 lb. per ft lllllllllllDlllllllllllllll ^< 10- Fi&.ea. J[ 1600* 8. A timber 20 ft. long, weighing 40 lb. per linear foot is floating in water,and supports 200 lb. 4 ft. from the left end and 150 lb. 2 ft. from the right the shear and bending-moment diagrams. Sec. IV APPLICATION OF PRINCIPLES OF EQUILIBRIUM 99 9. A timber 80 ft. long, floating in water, supports three loads of 80 lb. each,one at the center and one at each quarter point. Neglect the weight of thetimber and draw shear and bending moment diagrams. 100* WOO* • Illllllllllllllll ? K-£->H-- 4--->k-j->lPig. 70. 10. A beam 30 ft. long is supported at each end A and C. A uniform loadof 100 lb. per foot extends from A to B, and a uniform load of 225 lb. per footextends from B to C. The bending moment is a maximum at B. Locate B,and draw the shear an


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Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922