Problem 1: Analyze the truss structure (statically determinate) shown below. The diameter of the circular truss members is 4 cm. The material used has an elastic modulus E=160GPa. 1. Calculate the forces in each truss member. 2. Calculate the horizontal and vertical displacements of the truss nodes B and C. 3. Calculate the margin of safety. Note: Tension members can fail by stress failure and compression members can fail by stress failure or buckling. Hint: Use Castiligliano's theorem. 1 m 1 m 1m B 1 kN 1.732 m 1 m 2 kN с

Problem 1: Analyze the truss structure (statically determinate) shown below. The diameter of the circular truss members is 4 cm. The material used has an elastic modulus E=160GPa. 1. Calculate the forces in each truss member. 2. Calculate the horizontal and vertical displacements of the truss nodes B and C. 3. Calculate the margin of safety. Note: Tension members can fail by stress failure and compression members can fail by stress failure or buckling. Hint: Use Castiligliano's theorem. 1 m 1 m 1m B 1 kN 1.732 m 1 m 2 kN с

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

Plane and Space Trusses

In civil engineering, a truss is the most important structure that forms the most fundamental member of any building structure and commercial complexes. Trusses are composed of individual members or links that are interconnected by suitable joints, such as rivets, welds, or bolts, and nuts. In trusses, the interconnection leads to the formation of a series of triangles joined together such that all the triangular members behave as a single rigid body. In a simple truss, three members are connected to form a truss member. In trusses, the force always acts at the joints or the interconnection between the individual members.

Question

Problem 1:
Analyze the truss structure (statically determinate) shown
below. The diameter of the circular truss members is 4 cm.
The material used has an elastic modulus E=160GPa.
1. Calculate the forces in each truss member.
2.
Calculate the horizontal and vertical displacements
of the truss nodes B and C.
3. Calculate the margin of safety. Note: Tension
members can fail by stress failure and compression
members can fail by stress failure or buckling.
Hint: Use Castiligliano's theorem.
1 m
D
1 m
1m
B
1 kN
1.732 m
1 m
2 kN
C

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Step 1: Introduce the problem statemement

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Step 2: Determine support reactions

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Step 3: Determine member forces (P-Forces)

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Step 4: Determine K1 Forces

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Step 5: Determine K2 Forces

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Step 6: Determine K3 Forces

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Step 7: Determine K4 Forces

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Step 8: Compute horizontal and vertical displacement at B and C

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Step 9: Margin of Safety

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