Essentials in the theory of framed structures . ach inclined force has been replaced by its horizontaland vertical components. We wish to ascertain how many 32 THEORY OF FRAMED STRUCTURES Chap. I independent equations may be written concerning the equi-librium of the rigid body upon which the forces are acting. Forthe solution of the four unknown magnitudes A, B, C and D,we shall attempt to write four independent equations, theH- and F-equations and two M-equations, one about the point0 and the other about the point P. lH = A+B-25 = o (i) ZF = C - lo - 4 - ^ = o (2) = loC + 12A + 40
Essentials in the theory of framed structures . ach inclined force has been replaced by its horizontaland vertical components. We wish to ascertain how many 32 THEORY OF FRAMED STRUCTURES Chap. I independent equations may be written concerning the equi-librium of the rigid body upon which the forces are acting. Forthe solution of the four unknown magnitudes A, B, C and D,we shall attempt to write four independent equations, theH- and F-equations and two M-equations, one about the point0 and the other about the point P. lH = A+B-25 = o (i) ZF = C - lo - 4 - ^ = o (2) = loC + 12A + 40 — 400 + loD = o (3) UMp = —16B — 100 + 20C — 4^ = o (4) Eliminate B and C from (3) and(4) and each equation reduces to 12A -\- 20D = 220 This is but another way of say-ing that (4) adds nothing whichhas not been previously statedby (i), (2) and (3). Write anM-equation for someother point and see if anidentical equation cannot be derived from Eqs. (i), (2) and (3).25. General Case.—Now consider the general case illustrated in Fig.
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Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922
