To determine The horizontal and vertical components of reaction at A and the vertical reaction at the smooth support B for equilibrium. Explanation Given: The height of point A from top ( h A ) is 1 m. The width of the plate ( b ) is 2m. The height of point B from top ( h B ) is 7 m. The total length of the plate ( L A B ) is 6 m. Calculation: Draw the free body diagram of the bent plate as shown in the figure (1). Calculate the intensity of load at point A ( w A ) . w A = ρ w g h A b w A = 1 , 000 kg / m 3 × 9.81 m/s 2 × 1 m × 2 m = 19.62 kN / m Calculate the intensity of load at point B ( w B ) . w B = ρ w g h B b w B = 1 , 000 kg / m 3 × 9.81 m/s 2 × 5 m × 1.5 m = 137.34 kN / m Calculate the force acting at point A on the side AC due to water above point A ( F 1 ) . F 1 = w A L A B F 1 = 19.62 kN × 6 m = 117.72 kN Calculate the force acting at the point B on side BC due to water on the right side ( F 2 ) . F 2 = 1 2 ( w B − w A ) l A B F 2 = 1 2 ( 137.34 kN m − 19.62 kN m ) × 6 m = 353.16 kN Calculate the force ( F 3 ) on the plate. F 3 = ( ρ w g ) V r e c t = 1 , 000 kg / m 3 × 9.81 m/s 2 × ( 1 3 ( 4 × 3 × 2 ) ) = 78.48 kN Calculate the force ( F 4 ) on the plate

2nd Edition

ISBN: 9780134649290

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 2, Problem 71P

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The horizontal and vertical components of reaction at A and the vertical reaction at the smooth support B for equilibrium.

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Chapter 2, Problem 70P

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