2.12 elasticity
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This document discusses Hooke's law, which states that the force (F) needed to extend or compress a spring is proportional to the displacement (x) of the spring from its resting position. F = kx, where k is the spring constant. It provides examples of calculating the total extension of springs connected in series or in parallel. For springs in series, the total extension is the sum of the individual extensions. For springs in parallel, the total extension is the average of the individual extensions.
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1. The principle of superposition states that the displacements or deflections caused by individual loads or forces acting on a structure can be added to determine the total displacement caused by all loads acting together.
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3. Betti's law states that the virtual work done by one system of forces during displacements caused by a second system of forces is equal to the virtual work done by the second system of forces during displacements caused by the first system of forces.
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Based on 'ilman nafi'an, hopefully this file beneficially for you.
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2.12 elasticity
- 1. The ability of material to return to its original shape once the force acting on it is removed
- 2. Force is directly proportional to the extension of an elastic string if its elastic limit is not exceeded. F = kx ( k = force constant /spring constant) Hooke’s law GRAPH FORCE AGAINST EXTENSION k = gradient of the graph F – xF α x
- 7. Problem solving F →x 2F → 2x F 1 = x 1 F 2 = x 2 ADD LOAD IN SERIES EXTENSION = 2x CO M BIN E IN PARALLEL EXTENSION =x/2 EXTENSION of the SPRING W X X/2 EXTENSION = x+x/2 = 3x/2
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