The beam shown in the Figure q2 below is a continuous beam of 2 spans. Determine the reactions at the supports using a method of stiffness matrix. Assume 1 and 3 are fixed and 2 is a roller. El is constant. 5 10 kN/m -5 m 2 (2) 5 kN/m 2 4 m 3

The beam shown in the Figure q2 below is a continuous beam of 2 spans. Determine the reactions at the supports using a method of stiffness matrix. Assume 1 and 3 are fixed and 2 is a roller. El is constant. 5 10 kN/m -5 m 2 (2) 5 kN/m 2 4 m 3

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

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

The beam shown in the Figure q2 below is a continuous beam of 2 spans. Determine the
reactions at the supports using a method of stiffness matrix. Assume 1 and 3 are fixed and
2 is a roller. El is constant.
5
6
1
10 kN/m
-5 m
2
FIGURE Q2
2
5 kN/m
2
4 m
3
3
4

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Step 1: stiffness matrix for element 1

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Step 2: stiffness matrix for element 2

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Step 3: global stiffness matrix for whole system

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Step 4: fixed end forces in element 1

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Step 5: fixed end forces in element 2

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Step 6: calculating degree of freedom in 1 direction

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Step 7: Reaction at supports

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Step 8: check

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