Q2: Consider a bar shown in figure Q2 with an axial load P = 75 kN applied as shown. The bar is split into 2 finite elements. Element 1 is made of a steel alloy with E = 225 x 10³ Nmm2 with a cross sectional area, A = 400mm?. Element 2 is made of a polymer with E = 25 x 103 Nmm? with a cross sectional area, A = 800 mm?. Nodes 1 and 3 are fixed.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q2: Consider a bar shown in figure Q2 with an axial load P = 75 kN applied as shown. The bar is split into 2
finite elements. Element 1 is made of a steel alloy with E = 225 x 103 Nmm2 with a cross sectional area,
A = 400mm2. Element 2 is made of a polymer with E = 25 x 103 Nmm2 with a cross sectional area,
A = 800 mm?. Nodes 1 and 3 are fixed.
(a) Determine the nodal displacements.
(b) Determine the stress in each material.
(c) Determine the reaction forces.
(d) Check your answers using FEM1D program.
2
1
2
3
500mm
500mm
Figure Q2: 1D bar, split into two elements with a point load, geometry and finite element mesh.
Transcribed Image Text:Q2: Consider a bar shown in figure Q2 with an axial load P = 75 kN applied as shown. The bar is split into 2 finite elements. Element 1 is made of a steel alloy with E = 225 x 103 Nmm2 with a cross sectional area, A = 400mm2. Element 2 is made of a polymer with E = 25 x 103 Nmm2 with a cross sectional area, A = 800 mm?. Nodes 1 and 3 are fixed. (a) Determine the nodal displacements. (b) Determine the stress in each material. (c) Determine the reaction forces. (d) Check your answers using FEM1D program. 2 1 2 3 500mm 500mm Figure Q2: 1D bar, split into two elements with a point load, geometry and finite element mesh.
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