. Strength of materials: a practical manual of scientific methods of locating and determining stresses and calculating the required strength and dimensions of building materials . he monu^nt diagram for tlu»beam. Fig. 18, a (a copy of Fig. 9), taking into account tlio weightof the beam, 400 pounds. The values of the bending monuMit for sections one foot apartwere computed in example 3, Art. 43. So we liave only to lay offordinates equal to those values, one foot apart, on the base AE(Fig. 18, I). To a scale of 10,()()() foot-j)()unils to tlu inrli tlii ordinates(see example )i, Art. 43, for va
. Strength of materials: a practical manual of scientific methods of locating and determining stresses and calculating the required strength and dimensions of building materials . he monu^nt diagram for tlu»beam. Fig. 18, a (a copy of Fig. 9), taking into account tlio weightof the beam, 400 pounds. The values of the bending monuMit for sections one foot apartwere computed in example 3, Art. 43. So we liave only to lay offordinates equal to those values, one foot apart, on the base AE(Fig. 18, I). To a scale of 10,()()() foot-j)()unils to tlu inrli tlii ordinates(see example )i, Art. 43, for values of J\I) an: 40 STEEXGTH OF MATERIALS At left end, 0 One foot from left end, 2,^:80-^10,000= inchT^Yo feet 3, Three . 5,320-^10,000= Four - 6,680^10,000= Laying these ordinates off at the proper points, we get AJcrZE as the moment line. 3. It is required to construct the moment diagram for the cantilever beam represented in Fig;. 19, <r^ neslectincr tue weio-ht of the beam. The bending moment at B equals -500x2=-l,000 foot-pounds;at C, -500 X 5-1,000 X 3=-5,500;and at D, -500 X 9-l,000x 7-2,000 X 4^-19,500. soolbs. looolbs, 2000 d^ ScaJe:i= 20000 Fig. 19. Using a scale of 20,000 foot-pounds to one inch, the ordinatesin the bendino* moment diagram are: AtB, 1,000-f-20,000= inch, 0, 5,500-^20,000= -• D, 19,500-^20,000= Hence we lay these ordinates off, and downward because the bend-ing moments are negative, thus fixing the points b, <■ and d. Thebendino; moment at A is zero; hence the moment line connects A^, e and d. Further, the portions A^, he and cd are straight, ascan be shown by computing values of the bending moment forsections in AB, BC and CD, and laying off the correspondingordinates in the moment diao-ram. STEENGTH OF MATEEIALS 41 4. Suppose tliat the cantilever of the precedincr illustrationsustains also a uniform load of 100 pounds per foot fsee Ficr. 20, a).Construct a moment diacrram. First,
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