Essentials in the theory of framed structures . ugh T, is horizontal and A = i. £ = 29,000,000 ^.,I = 1, in*.; hence EI = 33,915,500,000 in^.-lb. Area-moment of PQSU about P-area PQF 150,000 X X = 1,250,000area QSUV 150,000 X X = 9,843,750 ,093-750 ft^^ = i= .o93;75o X 1,72833>9i5)5oo,ooo When the length of a beam is expressed in feet, and the loadsare expressed in pounds, the area-moment will be expressed infoot-pounds; and the factor 1,728 is introduced if EI is ex-pressed in inch^-pounds. EI may be expressed in foot^-pounds by dividing by 144,whenceEI =
Essentials in the theory of framed structures . ugh T, is horizontal and A = i. £ = 29,000,000 ^.,I = 1, in*.; hence EI = 33,915,500,000 in^.-lb. Area-moment of PQSU about P-area PQF 150,000 X X = 1,250,000area QSUV 150,000 X X = 9,843,750 ,093-750 ft^^ = i= .o93;75o X 1,72833>9i5)5oo,ooo When the length of a beam is expressed in feet, and the loadsare expressed in pounds, the area-moment will be expressed infoot-pounds; and the factor 1,728 is introduced if EI is ex-pressed in inch^-pounds. EI may be expressed in foot^-pounds by dividing by 144,whenceEI = 235,521 , then A = t= .093,750 _235,521 The deflection at the center may be found from Table I. ft. = in. Sec. II DEFLECTION OF BEAMS 221 k = and c = ; therefore F — for each load, then 2Pf . 60,000(25 X 12)^ _,_ . A = -—-^ X = ? ^ ^ - = in. 6£/ 6 X 33,915,500,000 144. Deflection Under Uniform Load.—The beam in Fig. 134 supports a uniform load and the M-diagram PQS Pig. 135- parabola. The maximum deflection is at the center of the span. The tangent to the elastic curve at C is horizontal, and A = 0 ^O 0 i^O* Ov lO H -^t f^ 000 O OO f^ li^ CO HH O O 0 O 0 0 OOOOOOOO o o 0 0 0 O O O 0 O 0 d WOO l>-POcOOit^M Oni^ion r—OvOooM coior^oo o\H H OOOOOOhh lO w CI CIH H inoo cot^-t^w co-^on w w 0 OnoOvO lOcoiHwmhOOOOOO OOOOOOOO O 0 O 0 O O O O 0 0 o 0 d wQOvO OO O I^w Ovt^lOWO O\00 lO H coioi>.oo MOOOOOOhm CO 0CO 00 M HM H w O H H lO 0 00 0 H « 000 0 r- -d- OS (O \00 On r^ \0 ?rf CO HH O 0 0 0 o o OOOOOOOO 0 0 0 0 O 0 o o o O 0 d OlOOWlOTflOTl- H OvO MOOOOOOWM H HH H H 0 H H
Size: 1352px × 1847px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922
