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h. Estimate the deflection at x = 8.0 as well as the rate of deflection for the corresponding element

h. Estimate the deflection at x = 8.0 as well as the rate of deflection for the corresponding element

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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answer (h) please

Problem 3: For the simply supported beam and the moment distribution shown in Figure.1, the governing differential equation for the boundary value problem is given by: d2Ø EI - M(x) = 0, Ø(0) = 0 and Ø(12) = 0 - dx?
Transcribed Image Text:Problem 3: For the simply supported beam and the moment distribution shown in Figure.1, the governing differential equation for the boundary value problem is given by: d2Ø EI - M(x) = 0, Ø(0) = 0 and Ø(12) = 0 - dx?
El = 2.5(1010) N.cm? El = 1.5(1010) N.cm? El = 1.3(1010) N.cm? 6m 4m 2m 2.5(10°) 2.5(10°) 1.5(10°) Figure. 1: Simply supported beam subjected to moment distribution find and solve the problem shown in Critically analyse the finite element product and systems model that help Figure.1 by performing the following steps: Construct one-dimensional elements line (i.e., grid/mesh line), make the correct numbering and labeling of nodes and elements. b. Construct grid/mesh information table Write the shapes function, N; and N; for each element (e) and plot the shape function diagram d. Construct the weight functions for the one-dimensional elements' line/mesh. Calculate the nodal deflection values and the distribution through each element using element matrices- Galerkin's method. f. Would you increase (refine) the number of nodes/elements for this problem, explain you answer? g. Justify your mesh/grid divisions for this problem in terms of complication of geometry or materials compositions. h. Estimate the deflection at x = 8.0 as well as the rate of deflection for the corresponding element а. c. e. wɔ'N (x)w
Transcribed Image Text:El = 2.5(1010) N.cm? El = 1.5(1010) N.cm? El = 1.3(1010) N.cm? 6m 4m 2m 2.5(10°) 2.5(10°) 1.5(10°) Figure. 1: Simply supported beam subjected to moment distribution find and solve the problem shown in Critically analyse the finite element product and systems model that help Figure.1 by performing the following steps: Construct one-dimensional elements line (i.e., grid/mesh line), make the correct numbering and labeling of nodes and elements. b. Construct grid/mesh information table Write the shapes function, N; and N; for each element (e) and plot the shape function diagram d. Construct the weight functions for the one-dimensional elements' line/mesh. Calculate the nodal deflection values and the distribution through each element using element matrices- Galerkin's method. f. Would you increase (refine) the number of nodes/elements for this problem, explain you answer? g. Justify your mesh/grid divisions for this problem in terms of complication of geometry or materials compositions. h. Estimate the deflection at x = 8.0 as well as the rate of deflection for the corresponding element а. c. e. wɔ'N (x)w
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