Martin, Louis Adolphe, 1880- · New York, J.Wiley & Sons, Inc.: [etc. etc.] · leaf 108
x = —~; ^ dx DEFLECTION OF BEAMS 87 followed on page 76 by the proof that M =d?yEI dx2 Combining these equations, the space rate of loading,wx, can be expressed as follows: and wx dx dQ*dx EI dx3dx* As an illustration of the integration of this equationof the fourth order, consider the deflection… … Fig. 46 the minus sign indicating downward loading. Succes-sive integrations give EIf2 ™? + Cl,dx3 21 ,#2 TO0 E17i = -1CT + Cix + C*>dx2 0/ (1) (2) 88 MECHANICS OF MATERIALS „Tdy wxA CiX2 . n n (s EIrf = -A + Cix + C3, ... (3) ax 241 2 £,y__i«L + c£ + ^ + c* + c4. . (4) I20t 6 2 d3vNow as £7 —~…
Mechanics
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