Displacement with elemental stiffness method, the rest the same. Given: Following Uniaxial Bar.Required: Solve for the axial displacements using the Elemental Stiffness method discussed inclass and the FEM Frame Code. Determine the Maximum Stress and its location. If the YieldStress if 440 MPa, does the material Yield?E2, A2, L2OOD = 14 in.WT = 0.185 in.P₁=400 kNP₂ = 800kNE3, A3, L3E₂ = E3 = 190 GPaL₂ = 1.5 mL3 = 2.75 mOOD = 12 in.WT = 0.135 in.

Answered: Required: Solve for the axial…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Displacement with elemental stiffness method, the rest the same.

Given: Following Uniaxial Bar.
Required: Solve for the axial displacements using the Elemental Stiffness method discussed in
class and the FEM Frame Code. Determine the Maximum Stress and its location. If the Yield
Stress if 440 MPa, does the material Yield?
E2, A2, L2
O
OD = 14 in.
WT = 0.185 in.
P₁=400 kN
P₂ = 800kN
E3, A3, L3
E₂ = E3 = 190 GPa
L₂ = 1.5 m
L3 = 2.75 m
O
OD = 12 in.
WT = 0.135 in.

Expert Solution

Step 1: Write the given data and what is to find

Given:

$table row cell P subscript 1 end cell equals cell 400 space k N end cell row cell P subscript 2 end cell equals cell 800 space k N end cell row cell E subscript 1 end cell equals cell E subscript 2 equals 190 space G P a end cell row cell L subscript 1 end cell equals cell 1.5 space m end cell row cell L subscript 2 end cell equals cell 2.75 space m end cell row cell d subscript 1 comma o end subscript end cell equals cell 12 space i n end cell row cell t subscript 1 end cell equals cell 0.135 space i n end cell row cell d subscript 2 comma o end subscript end cell equals cell 14 space i n end cell row cell t subscript 2 end cell equals cell 0.185 space i n end cell end table$

To find:

(a) Maximum stress and its location.

(b) Does the material yield?

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