Consider a non-uniform cantilever beam that is 1 m long and whose flexural rigidity is given by the function EI(x) = 30/(x+2) kNm^2. a) Calculate the influence function (a.k.a., “Green’s function”) for the beam. b) Use the influence function (and probably Desmos) to find the deflection of the beam under a load of f (x) = 100 sin(x) cos(x) N/m. Include a picture of the deflected beam; the maximum deflection must be able to be visually identified from the picture to about 0.1 mm.
Consider a non-uniform cantilever beam that is 1 m long and whose flexural rigidity is given by the function EI(x) = 30/(x+2) kNm^2. a) Calculate the influence function (a.k.a., “Green’s function”) for the beam. b) Use the influence function (and probably Desmos) to find the deflection of the beam under a load of f (x) = 100 sin(x) cos(x) N/m. Include a picture of the deflected beam; the maximum deflection must be able to be visually identified from the picture to about 0.1 mm.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider a non-uniform cantilever beam that is 1 m long and whose flexural rigidity is given by the function EI(x) = 30/(x+2) kNm^2.
a) Calculate the influence function (a.k.a., “Green’s function”) for the beam.
b) Use the influence function (and probably Desmos) to find the deflection of the beam under a load of f (x) = 100 sin(x) cos(x) N/m. Include a picture of the deflected beam; the maximum deflection must be able to be visually identified from the picture to about 0.1 mm.
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