Distributed LoadE, 2AE, AE, AqL23LLE = 2x104 N/mm²A= 250 mm²L= 200 mmq= 300 N/mmqL/2qL/24a) Find the displacement at node 2, 3 and 4b) Calculate the stress for each element

Given:To find:(a) Nodal displacements.(b) Stress in each element.

Answered: E, A E, 2A E, A 1 L 2 L 3 404/2 L 4 a)…

E, A E, 2A E, A 1 L 2 L 3 404/2 L 4 a) Find the displacement at node 2, 3 and 4 b) Calculate the stress for each element

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.3.24P: The stresses acting on a stress element on the arm of a power excavator (see figure) are ax= 52 MPa...

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Question

Distributed Load
E, 2A
E, A
E, A
q
L
2
3
L
L
E = 2x104 N/mm²
A= 250 mm²
L= 200 mm
q= 300 N/mm
qL/2
qL/2
4
a) Find the displacement at node 2, 3 and 4
b) Calculate the stress for each element

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Step 1: Given data

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Step 2: Write the element stiffness matrix for each element:

VIEW

Step 3: Write the global stiffness matrix:

VIEW

Step 4: (a) Apply the boundary conditions and determine the nodal displacements:

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Step 5: Determine the stresses in each elements

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Solution

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