Essentials in the theory of framed structures . Elk = (18,000 X 12 X - X 6) + M(6 X 8) = 864,000 + 48M Elh = (81,000 X 18 X - X 9) + M(9 X 12) = 8,748,000 + loSikf3/1 = — 2hM s5,8oo Sec. II RESTRAINED AND CONTINUOUS BEAMS 259 The M-diagram may now be drawn to scale as shown in statics —55,800 = 12R1 — (12,000 X 6) = i8i?3— (36,000 X 9) Ri = 1,350Ri = 31,750 Ri = 14,900164. Two Unequal Spans, Supporting Unequal UniformLoads.—The general expressions for Ri, R2 and R3 for a con-. FiG. 161. tinuous beam of two unequal spans h and h, supporting unequaluniform loads, wi and Wi per unit
Essentials in the theory of framed structures . Elk = (18,000 X 12 X - X 6) + M(6 X 8) = 864,000 + 48M Elh = (81,000 X 18 X - X 9) + M(9 X 12) = 8,748,000 + loSikf3/1 = — 2hM s5,8oo Sec. II RESTRAINED AND CONTINUOUS BEAMS 259 The M-diagram may now be drawn to scale as shown in statics —55,800 = 12R1 — (12,000 X 6) = i8i?3— (36,000 X 9) Ri = 1,350Ri = 31,750 Ri = 14,900164. Two Unequal Spans, Supporting Unequal UniformLoads.—The general expressions for Ri, R2 and R3 for a con-. FiG. 161. tinuous beam of two unequal spans h and h, supporting unequaluniform loads, wi and Wi per unit of length, will now be de-veloped in connection with Fig. 161. The M-diagram isdrawn as in the preceding problem. If the tangent to theelastic curve is drawn through C; andJi and h represent thetangential deviations at A and B respectively; then -=r-r)(i)e)+(^)(i-) 24 + Elk =tih = M = - 24 3 Will -\- WiH 8(/i + h) (12) 26o THEORY OF FRAMED STRUCTURES Chap. VI When the spans are equal in length I and the uniform load wper unit of length is the same in both spans, Eq. (12) reduces to M = -f (13) 165. When a continuous beam supports a combination ofuniform and concentrated loads, it will be found expedient tosketch the M-diagram in, parts as shown in Fig. 162. Theportion {a) is the M-diagram for the concentrated loads whenno continuity is considered at C; and the portion (&) is a similar
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Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922
