The cross-sectional area of each member of the truss shown in the figure is A = 400 mm² and E = 200 GPa. (a) Determine the vertical displacement of joint C if a 4-kN force is applied to the truss at C. (b) If no loads act on the truss, what would be the vertical displacement of joint C if member AB were 5 mm too short? 3 m A -4 m- 4 kN -4 m B

The cross-sectional area of each member of the truss shown in the figure is A = 400 mm² and E = 200 GPa. (a) Determine the vertical displacement of joint C if a 4-kN force is applied to the truss at C. (b) If no loads act on the truss, what would be the vertical displacement of joint C if member AB were 5 mm too short? 3 m A -4 m- 4 kN -4 m B

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

The cross-sectional area of each member of the truss shown in
the figure is A = 400 mm² and E = 200 GPa. (a) Determine the
vertical displacement of joint C if a 4-kN force is applied to the truss
at C. (b) If no loads act on the truss, what would be the vertical
displacement of joint C if member AB were 5 mm too short?
3 m
4 m
C
(a)
4 kN
4 m
B

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Step 1: Determine the given variables.

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Step 2: Determine the reactions.

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Step 3: Determine the member forces.

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Step 4: Determine the member forces using unit load.

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Step 5: Determine the vertical displacement at C.

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Step 6: Determine the displacement at C due to zero load.

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