1 1 20 ft 18 k 10 ft El 15 ft constant 10 k Part B 2 15 ft Determine the reactions and the member end forces for the beam shown in A1 using the matrix stiffness method (Problem 17.4 of Structural Analysis, 6th Edition, Aslam Kassimali).

1 1 20 ft 18 k 10 ft El 15 ft constant 10 k Part B 2 15 ft Determine the reactions and the member end forces for the beam shown in A1 using the matrix stiffness method (Problem 17.4 of Structural Analysis, 6th Edition, Aslam Kassimali).

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

1
1
20 ft
18 k
10 ft
15 ft
constant
El
Part B
10 k
2
3
15 ft
Determine the reactions and the member end forces for the beam shown in A1 using the matrix stiffness
method (Problem 17.4 of Structural Analysis, 6th Edition, Aslam Kassimali).

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Step 1: Given data

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Step 2: stiffness matrix

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Step 3: unknown D.O.F

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Step 4: Fixed end forces

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