Question

For the beam shown, assume that ET-130 ,000 kip-ft2, P = 80 kips, and w = 4.5 kips/ft. Use discontinuity functions to determine (a) the reactions at A, C, and D (b) the beam deflection at B Assume LAB = LBC = 9.0 ft, LCD = 18.0 ft. AB CD Sum the forces in the y direction to find an expression that includes the reaction forces Ay, Cy, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Dx-0, it has been omitted from the free-body diagram.) Enter the correct value in the box below to produce the correct expression N D Lc AB CD 161 Answer: Ay Cy + Dy- kips Correct For this loading, select the correct moment expression M(x) from those listed below, where each expression is based on discontinuity functior Assume LARLG 9.0 ft, Lc 18.0 ft. AB BC CD Answer: (a) M(x)-A,(x-Oft,'-P(x-9.0 ft,' +Cy(x-18.0 ft,' +w(x-18.0ftỷ-2(x-36.0ft 2+D,(x-36.0 ft,' (c) M(x)=A(x-Oft"-P(x-9.0 ftyHG(x-18.0 ft"-24-18.0 ft) i +쁠(x-36.0 ft,' +Dy(x-36.0ft>o IW Part 4 On a piece of paper, integrate M(x) from Part 3 once to obtain a beam slope function, which can be written as EI dvidxM(x) terms from Part 3 integrated once ]+ C1 where dv/dx is the beam slope and C1 is a constant of integration. Integrate a second time to obtain a beam deflection function, which can be written as EI v-M) terms from Part 3 integrated twice1+Cix+C2 where v is the beam deflection and C2 is a constant of integration. Apply appropriate boundary conditions for this case and use the relationships from Parts 1 and 2 to calculate the constants C and C2, and the reaction forces Ay, Cy, and Dy. Enter the reaction forces below. Positive values for the reactions are indicated by the directions of the red arrows on the figure shown in Part 3. Answers kips kips kips

Answer 1

Gien beam ET= 130,000 k-HL 18'I So, Momet about x-x.. 2. W d"의 Ry(x2) (8) ET, ,, EI(o)Ag (18)

18), (36 om t) 938952 588 ey t 58 3 2 By + 5132C

Answers :

Ay = 27.44 Kips

By = 105.62 Kips

Cy = 27.94 Kips

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