Determine the axial deflection, u, of the right end of the bar shown in Figure (a) by using the closed form solution you learned in strength of material class. ● Use linear truss elements (total of 4 elements) and determine the same displacement u, of the right end of the bar. . Compare the two results.

Determine the axial deflection, u, of the right end of the bar shown in Figure (a) by using the closed form solution you learned in strength of material class. ● Use linear truss elements (total of 4 elements) and determine the same displacement u, of the right end of the bar. . Compare the two results.

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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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

100%

A tapered bar with a rectangular cross-section of shown on Figure (a). A finite
element model of the same bar is shown in Figure (b) where 4 elements are used to
model bar. You are asked to perform the following analyses:
• Determine the axial deflection, u, of the right end of the bar shown in Figure
(a) by using the closed form solution you learned in strength of material
class.
Use linear truss elements (total of 4 elements) and determine the same
displacement u, of the right end of the bar.
• Compare the two results.
Given numerical parameters:
Total length, LT
16 inches
=
Left end width, W₁ = 4 inches
Right end width, WR = 1 inch
-
Modulus of Elasticity, E = 30 x 106 Psi
Bar thickness into the paper, t = 0.125 inch
External tensile force, P = 250 Lbf
WL
X,U
LT-
(a)
WR
P
x
راسم
-
-4 L=LT-
(b)
거
P

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