Question

P10.035 (Multistep) For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the beam at A and (b) the deflection of the beam at C. Assume a constant value of EI 26000 kN m for the beam. Also, assume P-31 kN, W 23 kN/m, wc -62 kN/m, a -2.1 m, b-3.7 m, and c1.3m WB *Part 1 Calculate the reaction forces B, and D acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown for the foroes By and Dy on the free-body diagram below. (Note: Since B0, it has been omitted from the free-body diagram.) 1 kN kN ▼ Part 2 Write the beam deflection function El v(x) for this case in terms of discontinuity functions. Then, integrate it four times to obtain an expression for the beam deflection, V, in terms of integration constants C1 and C2. In the seven input fields below, enter the numerical values, with correct signs, required to make these functions correct for this case. kN (x-2.1 m) 3 + kN/m (x - 2.1 m)4 + kN/m2 (x - 2.1 m)5+ kN/m (x-5.8 m)4 + kN/m2 (x - 5.8 m)S + kN (x-7.1 m)3 + c* + c2 Click if you would like to Show Work for this question: Open Show Work Part 3 Evaluate the constants C1 and C2 KN m2 kN m 2 Part 4 Determine the deflection of the beam at A. Enter a negative value if the deflection is downward, or a positive value if it is upward. VA The number of significant digits is set to 3 Click if you would like to Show Work for this question: Open Show Work Part 5 Determine the deflection of the beam at C. Enter a negative value if the deflection is downward, or a positive value if it is upward Vc D The number of significant digits is set to 3 Attempts: 0 of 2 used

Answer 1

23 1,3 m 2.1m 8.2S - 134,18

12.15 C-.57)+ c, EC 3 3 3 3 E2 3

一,2, 25

96. 42 600 o sadf - 0.976(5.8 -2b 2.62 26つつつ 3 一つ .