The rigid bar ABCD is consist of two cylindrical portions AC and CD shown in Figure Q1.1. Cylindrical rod AC is made of aluminum (E-70 GPa) and has a cross-sectional area of 581 mm² whereas cylindrical rod CD is made of steel (E-200 GPa) and has a cross-sectional area of 194 mm². It is noted that loads are applied at three distinct positions at point B, C and D along the length of the rod. (a) (b) A=581 mm² B (b) A = 194 mm² 300 kN 300 mm 300 mm C 180 KN 400 mm D 120 kN Figure Q1.1 Prepare finite element model consisting of 3 elements for the bar ABCD. Clearly define all the nodes, elements, constraint and loads of the model. Using elemental description, determine the global stiffness matrix and load matrix to present the entire problem. Write them in general form following the finite element formulation, [K] {U} = {F}. (a) Calculate the displacements at points B, C and D. Determine the total deformation of the rigid bar ABCD under the applied loads.
The rigid bar ABCD is consist of two cylindrical portions AC and CD shown in Figure Q1.1. Cylindrical rod AC is made of aluminum (E-70 GPa) and has a cross-sectional area of 581 mm² whereas cylindrical rod CD is made of steel (E-200 GPa) and has a cross-sectional area of 194 mm². It is noted that loads are applied at three distinct positions at point B, C and D along the length of the rod. (a) (b) A=581 mm² B (b) A = 194 mm² 300 kN 300 mm 300 mm C 180 KN 400 mm D 120 kN Figure Q1.1 Prepare finite element model consisting of 3 elements for the bar ABCD. Clearly define all the nodes, elements, constraint and loads of the model. Using elemental description, determine the global stiffness matrix and load matrix to present the entire problem. Write them in general form following the finite element formulation, [K] {U} = {F}. (a) Calculate the displacements at points B, C and D. Determine the total deformation of the rigid bar ABCD under the applied loads.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.4.17P: A bimetallic bar (or composite bar) of square cross sec lion with dimensions 2b X lb is construe ted...
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