framework ABC consists of two rigid bars AB and BC, each having length b (Figure 4a). The bars have pin connections at A, B, and C and are joined by a spring of stiffness k. The spring is attached at the midpoints of the bars. The framework has a pin support at A and a roller support at C, and the bars are at an angle α to the horizontal. When a vertical load P is applied at joint B (Figure 4b) the roller support C moves to the right, the spring is stretched, and the angle of the bars decreases from θ to the angle. Determine the angle θ and the increase δ in the distance between points A and C. ( Use : α=450 , b =100mm , P= 1kN , k= 10kN/m
framework ABC consists of two rigid bars AB and BC, each having length b (Figure 4a). The bars have pin connections at A, B, and C and are joined by a spring of stiffness k. The spring is attached at the midpoints of the bars. The framework has a pin support at A and a roller support at C, and the bars are at an angle α to the horizontal. When a vertical load P is applied at joint B (Figure 4b) the roller support C moves to the right, the spring is stretched, and the angle of the bars decreases from θ to the angle. Determine the angle θ and the increase δ in the distance between points A and C. ( Use : α=450 , b =100mm , P= 1kN , k= 10kN/m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A framework ABC consists of two rigid bars AB and BC, each having length b (Figure
4a). The bars have pin connections at A, B, and C and are joined by a spring of stiffness k.
The spring is attached at the midpoints of the bars. The framework has a pin support at A
and a roller support at C, and the bars are at an angle α to the horizontal. When a vertical
load P is applied at joint B (Figure 4b) the roller support C moves to the right, the spring is
stretched, and the angle of the bars decreases from θ to the angle. Determine the angle θ
and the increase δ in the distance between points A and C. ( Use : α=450
, b =100mm , P=
1kN , k= 10kN/m )
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