Cyclopedia of architecture, carpentry, and building : a general reference work . (seeArt. 38). 2. Draw a line such that the distance from any point of itto the base-line equals (by some scale) the value of the bendingmoment at the corresponding section of the beam, and so that theline is above the base where the bending moment is positive andbelow it where it is negative. (This line is called a momentline.^ 46 STRENGTH OF MATERIALS 39 Examples. 1. It is required to construct a moment dia-gram for the beam of Fig. 17, a (a copy of Fig. 9), loaded asthere shown. Layoff AE (Fig. 17, h) as a base.
Cyclopedia of architecture, carpentry, and building : a general reference work . (seeArt. 38). 2. Draw a line such that the distance from any point of itto the base-line equals (by some scale) the value of the bendingmoment at the corresponding section of the beam, and so that theline is above the base where the bending moment is positive andbelow it where it is negative. (This line is called a momentline.^ 46 STRENGTH OF MATERIALS 39 Examples. 1. It is required to construct a moment dia-gram for the beam of Fig. 17, a (a copy of Fig. 9), loaded asthere shown. Layoff AE (Fig. 17, h) as a base. In example 1, Art. 43,we computed the values of the bending moment for sections onefoot apart, so we erect ordinates at points of AE one foot apart,to represent the bending moments. We shall use a scale of 10,000 foot-pounds to the inch; then^vhe ordinates (see example 1, Art. 43, for values of JVI) will be:One foot from left end, 2,300^10,000 = inch,Two feet 3,600-^10,000 = Three 4,900-^10,000 = Four 6,200^10,000 = etc., etc. looolba. zooolbs. 3000 A B Sca^-le: i= 18. Laying these ordinates off, and joining their ends in succession,we get the line AZcv/E, which is the bending moment 17, b, is the moment diagram. 2. It is required to construct the moment diagram for thebeam. Fig. 18, a (a copy of Fig. 9), taking into account the weightof the beam, 400 pounds. The values of the bending moment for sections one foot apartwere computed in example 3, Art. 43. So we have only to lay offordinates equal to those values, one foot apart, on the base AE(Fig. 18, h). To a scale of 10,000 foot-pounds to the inch the ordinates(see example 3, Art. 43, for values of M) are: 47 I 40 stee:ngth of mateeials At left end, 0 One foot from left end, 2,480^10,000= inchTwo feet 3,920-^10,000= Three 5,320-^10,000= Four 6,680-^10,000= Laying these ordinates off at the proper points, we get KhcdY. as the moment line. 3. It is requi
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