Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=11.0 ft, b=19.5 ft, P = 34 kips and w = 6.0 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Answers: Ay = Cy= i a i Calculate the reaction forces Ay and Cy 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 Ax = 0, it has been omitted from the free-body diagram.) P a B W B b W b kips x kips X
Answer p1 and
Part 2:
Determine the shear force acting at each of the following locations:
(a) x = 11.0- ft (i.e., just to the left of point B)
(b) x = 11.0+ ft (i.e., just to the right of point B)
(c) x = 28.5 ft
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
a) V = ____ kips
b) V = ____ kips
c) V = ____ kips
Part 3:
Determine the bending moment acting at each of the following locations:
(a) x = 11.0 ft (i.e., at point B)
(b) x = 28.5 ft
Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.
Answers:
a) M = ____ kips-ft
b) M = ____ kips-ft
Part 4:
Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, xmax. Use the bending-moment sign convention detailed in Section 7.2.
Answers:
Mmax = ____ kips-ft
xmax = ____ ft
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