P1 = 30 kN P2 = 20 kN WI = 12.5 kN/m 7.5 kN/m Wi = 10.5 kN/m 4.5 kN/m WD WD = D A 3 m 2.5 m 8 m 10 m
P1 = 30 kN P2 = 20 kN WI = 12.5 kN/m 7.5 kN/m Wi = 10.5 kN/m 4.5 kN/m WD WD = D A 3 m 2.5 m 8 m 10 m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A continuous concrete beam shown in the figure has a width of b= 300 mm, an effective depth of d= 560 mm, and an overall depth of h= 600 mm. The beam carries a dead load at span AB of 7.5 kN/m and at span BC, CD of 4.5 kN/m. A live load at span AB of 12.5 kN /m and at span BC, CD of 10.5 kN/m.
Solve for the reactions (Ra, Rb, Rc) and bending moments at supports (Ma, Mb, Mc) on the continuous concrete beam shown in the figure. Draw the shear and moment diagrams.
(Use the moment distribution method with constant section moment of inertia)
Answer: Ra=110.2 kN, Rb=310 kN, Rc=220 kN, Ma=-125 kN m, Mb =-259 kN m, Mc = -160 kN m
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