If El= 2x10¹0 N.cm² and if each element of the beam is 300 cm long: a. Construct one-dimensional elements line (i.e., grid/mesh line), make the correct numbering and labelling of nodes and elements. b. Construct grid/mesh information table. c. Draw the shear force and bending moment diagrams.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.5.25P: A beam ABCD with a vertical arm CE is supported as a simple beam at .1 and D (see figure). A cable...
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The governing equation of the below beam shown in Figure.10 is given by:
d²o
EI
dx² - M(x)=0
50000 N
F
8 m-
12 m-
Figure 10: Normal concentrated load on a beam
If El= 2x10¹0 N.cm² and if each element of the beam is 300 cm long:
a. Construct one-dimensional elements line (i.e., grid/mesh line), make the correct
numbering and labelling of nodes and elements.
b. Construct grid/mesh information table.
c. Draw the shear force and bending moment diagrams.
d. Obtain the nodal displacement through each element using element matrices-Galerkin
method specifically using (R₁) and (R₁). (Hint: write your own programming code to
obtain the required results. Please submit the code as part of the solution).
Transcribed Image Text:The governing equation of the below beam shown in Figure.10 is given by: d²o EI dx² - M(x)=0 50000 N F 8 m- 12 m- Figure 10: Normal concentrated load on a beam If El= 2x10¹0 N.cm² and if each element of the beam is 300 cm long: a. Construct one-dimensional elements line (i.e., grid/mesh line), make the correct numbering and labelling of nodes and elements. b. Construct grid/mesh information table. c. Draw the shear force and bending moment diagrams. d. Obtain the nodal displacement through each element using element matrices-Galerkin method specifically using (R₁) and (R₁). (Hint: write your own programming code to obtain the required results. Please submit the code as part of the solution).
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