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Calculate all nodal member forces for the truss. Use A = 0.0015 and E = 200GPa Node I is pinned, node 3 is a roller 3m 4m- displacements and all 12 kN 2 5 Fig 2. Truss for Q2 -4 m- 21 5

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

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

Calculate all nodal displacements and all
member forces for the truss.
Use A = 0.0015 and E = 200GPa
Node I is pinned, node 3 is a roller
3m
4 m.
12 kN
G
Fig 2. Truss for Q2
4 m
ⒸD]
?

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Step 1: Given

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Step 2: Formulation of global element stiffness matrix

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Solution

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Step 3: Formulation of global element stiffness matrix for member 1, 2 and 5

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Step 4: Formulation of global element stiffness matrix for member 3 and 4

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Step 5: Assembling global stiffness matrix

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Step 6: Relation between stiffness, displacement and force matrices

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Step 7: Boundary conditions

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Step 8: Determination of unknown displacement

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Step 9: Support reactions

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Step 10: Member forces

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