Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . 361 FLEXURE. OBLIQUE FORCES. As showing graphically all the results found, moment,thrust, and shear diagrams are drawnin Fig. 307, and also a diagram whoseordinates represent the variation of(pi+p2) along the beam. Each ordi-nate is placed vertically under thegravity axis of the section to which itrefers. 299. Numerical Example of the Forego- ,—Fig. 308. Let the beam be ofwrought iron, the load P = 1,
Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . 361 FLEXURE. OBLIQUE FORCES. As showing graphically all the results found, moment,thrust, and shear diagrams are drawnin Fig. 307, and also a diagram whoseordinates represent the variation of(pi+p2) along the beam. Each ordi-nate is placed vertically under thegravity axis of the section to which itrefers. 299. Numerical Example of the Forego- ,—Fig. 308. Let the beam be ofwrought iron, the load P = 1,800 lbs.,hanging from the middle. Cross sec-tion rectangular 2 in. by 1 in., the 2in. being parallel to the the max. normal stress inany outer fibre ; also the max. totalshear. , This max. stress-intensity will be inthe outer fibres in the section just below B and on theupper side, according to § 298, and is given by eq. (8) ofthat article; in which, see Fig. 308, we must substitute(inch-pound-second-system) P = 1,800 lbs.; F = 2 sq. in.;I = V1202 + 122 = in.; e = 1 in., I = y2 W = r2 = %biquad. inches ; cot a = JL ; cos a = .0996 ; and tan a — FiG. 307. .-. max.(jp1+jp2)= lo+y, -1]-
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
