04-01ChapGere.0008

04-01ChapGere.0008 - 266 A-PDF Shear Forces and Purchase...

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Solution 4.3-12 Beam with trapezoidal load 266 CHAPTER 4 Shear Forces and Bending Moments Reactions R A 5 65 kN R B 5 55 kN 1 30 kN / m)(3 m) 5 0 R A 1 R B 2 1 @ 2 (50 kN / m © F VERT 5 0 1 c 1 (20 kN / m)( 1 @ 2 )(2 5 0 © M B 5 0 ` 2 R A (3 1 (30 kN / m)(1.5 Free-body diagram of section CB Point C is at the midpoint of the beam. S F VERT 5 0 c 1 T 2 1 55 kN 5 0 2 M 2 (30 kN/m)(1.5 m)(0.75 m) 1 (55 kN)(1.5 m) 5 0 M 5 45.0 kN ? m 2 1 @ 2 (10 kN / m)(0.5 © M C 5 0 `~ V 52 2.5 kN V 2 kN / 2 1 2 kN / B A 50 kN/m 30 kN/m 3 m R A R B B V 40 kN/m 30 kN/m 1.5 m 55 kN C M Problem 4.3-13 Beam ABCD represents a reinforced-concrete foundation beam that supports a uniform load of intensity q 1 5 3500 lb/ft (see figure). Assume that the soil pressure on the underside of the beam is uniformly distributed with intensity q 2 . (a) Find the shear force V B and bending moment M B at point B . (b) Find the shear force V m and bending moment M m at the midpoint of the beam. Solution 4.3-13 Foundation beam
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