For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the...
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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 El = 28000 kN/m for the beam. Also, assume P = 16 kN, w, 23 kN/m, w = 68 kN/m, a 2.5m, b = 3.7 m, and c = 1.2m. Part 1 a Wy b We 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 forces By and D, on the free-body diagram below. (Note: Since B, =0, it has been omitted from the free-body diagram) B = Hint Save for Later Part 2 W b kN kN We Attempts: 0 of 2 used Submit Answer Write the beam deflection function El p(x) for this case in terms of discontinuity functions. Then, integrate it four times to obtain an expression for the beam deflection,, in terms of integration constants C and C. In the seven input fields below, enter the numerical values, with correct signs, required to make these functions correct for this case. EI-(x)= --- kN (x-0 m)+ kN/m (x-2.5 m) + i kN/m (x - 6.2 m)+ + 1 kN (x 7.4 m) + Cx + C eTextbook and Media kN (x-2.5 m)+ kN/m (x - 2.5 m)*+ kN/m (x-6.2 m) + Hint Save for Later Part 3 Evaluate the constants C and C. C = C = eTextbook and Media Hint Save for Later kN m kN m' Attempts: 0 of 2 used Submit Answer Attempts: 0 of 2 used Submit Answer 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. eTextbook and Media Hint Save for Later mm Attempts: 0 of 2 used Submit Answer 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. eTextbook and Media Hint Save for Later Attempts: 0 of 2 used Submit Answer 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 El = 28000 kN/m for the beam. Also, assume P = 16 kN, w, 23 kN/m, w = 68 kN/m, a 2.5m, b = 3.7 m, and c = 1.2m. Part 1 a Wy b We 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 forces By and D, on the free-body diagram below. (Note: Since B, =0, it has been omitted from the free-body diagram) B = Hint Save for Later Part 2 W b kN kN We Attempts: 0 of 2 used Submit Answer Write the beam deflection function El p(x) for this case in terms of discontinuity functions. Then, integrate it four times to obtain an expression for the beam deflection,, in terms of integration constants C and C. In the seven input fields below, enter the numerical values, with correct signs, required to make these functions correct for this case. EI-(x)= --- kN (x-0 m)+ kN/m (x-2.5 m) + i kN/m (x - 6.2 m)+ + 1 kN (x 7.4 m) + Cx + C eTextbook and Media kN (x-2.5 m)+ kN/m (x - 2.5 m)*+ kN/m (x-6.2 m) + Hint Save for Later Part 3 Evaluate the constants C and C. C = C = eTextbook and Media Hint Save for Later kN m kN m' Attempts: 0 of 2 used Submit Answer Attempts: 0 of 2 used Submit Answer 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. eTextbook and Media Hint Save for Later mm Attempts: 0 of 2 used Submit Answer 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. eTextbook and Media Hint Save for Later Attempts: 0 of 2 used Submit Answer
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Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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