Consider the spring assemblage shown, using the direct stiffness method do the following: 1. Write the global stiffness matrix 2. Determine the nodal displacements 3. Determine the nodal forces 4. Determine the reaction of supports K1 = 15 kN/m for Node 1 F = 0.675 KN K2 = 45 kN/m va Node 2 Nov X positive to the right Node 3 K3 = 15 N/m Node 4

Consider the spring assemblage shown, using the direct stiffness method do the following: 1. Write the global stiffness matrix 2. Determine the nodal displacements 3. Determine the nodal forces 4. Determine the reaction of supports K1 = 15 kN/m for Node 1 F = 0.675 KN K2 = 45 kN/m va Node 2 Nov X positive to the right Node 3 K3 = 15 N/m Node 4

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

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Consider the spring assemblage shown, using the direct stiffness
method do the following:
1. Write the global stiffness matrix
2. Determine the nodal displacements
3. Determine the nodal forces
4. Determine the reaction of supports
K1 = 15 kN/m
f
Node 1
F = 0.675 kN K2 = 45 kN/m
No
Node 2
X positive to the right
vov
Node 3
K3 = 15 N/m
Node 4

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Step 1: Draw Free Body Diagrams of system

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Step 2: Write matrix form for equilibrium equations

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Step 3: Global stiffness matrix

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Step 4: Solve for nodal displacements and reaction forces

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