For a two-dimensional truss structure as shown in the figure, determine displacements of the nodes and normal stresses developed in the members using the direct stiffness method. Use E = 30×106 N/cm² and the diameter of the circular cross-section is 0.25 cm.

For a two-dimensional truss structure as shown in the figure, determine displacements of the nodes and normal stresses developed in the members using the direct stiffness method. Use E = 30×106 N/cm² and the diameter of the circular cross-section is 0.25 cm.

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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

3. For a two-dimensional truss structure as shown in the figure, determine displacements of
the nodes and normal stresses developed in the members using the direct stiffness
method. Use E = 30×106 N/cm² and the diameter of the circular cross-section is 0.25 cm.
4.
Pin joint
9 cm
☑
12 cm
60 N
Roller support

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Step 1: Node number and the coordinate system, calculation of length of element

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Step 2: Area of the element 3 and element stiffness matrix of element 1

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Step 3: Stiffness matrix of element 2 and element 3

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Step 4: matrix equations are 1,2 and 3 and the displacement vector for the truss element

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Step 5: force vector for truss element and from columns corresponding to the zero displacements

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Step 6: For element 1 and 2 the connected nodes .

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