Martin, Louis Adolphe, 1880- · New York, J.Wiley & Sons, Inc.: [etc. etc.] · leaf 203
the elasticcurve makes with the x-axisin passing from the pointsdetermined by x and x + dx.The plane sections may then be assumed to be displacedthrough the angles add and [idd as shown in Fig. 92,where a + /? = 1. As work done equals the product of the moment bythe angular displacement, and as the… … M ; (« +0) <** = —<**■2 Mx, ,„s , IMX + dMx\,n,„, -^ (ode) + (—^—-) (Pde) = But dd, the change in angle, is approximately equal tothe change of slope of the elastic curve in the distancedx, or, expressed mathematically, THE PRINCIPLE OF WORK 183 for we assume that the beam, originally…
Mechanics
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