It is important that the problem is carried out by the method requestedDo not use CHATGPT Determine with the finite element method themagnitude of the slope at the free end of thebeam1$2OO=----radE = 70 GPaI = 1x10-4 m43 m-0.042562 rad-0.021517 rad-0.032581 rad-0.011571 rad-0.075861 rad8 kN]215 kN-m

Given:To find:Slope at the free end of the beam through finite element analysis.

Answered: Determine with the finite element…

Engineering

Mechanical Engineering

Determine with the finite element method the of the slope at the free end of the magnitude beam

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

It is important that the problem is carried out by the method requested
Do not use CHATGPT

Determine with the finite element method the
magnitude of the slope at the free end of the
beam
1
$2
O
O
=
----
rad
E = 70 GPa
I = 1x10-4 m4
3 m
-0.042562 rad
-0.021517 rad
-0.032581 rad
-0.011571 rad
-0.075861 rad
8 kN]
215 kN-m

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

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Step 2: Discretize the beam and assign nodes:

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Step 3: Write the general element matrix for the beam and determine the deflection and slope at 2:

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Step 4: Solve equation (1) and equation (2) to determine the slope at the free end:

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