Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Beams and Frames
A beam is a horizontal structure or a member which is always subjected to transverse shear loads.
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An interior truss supporting a building roof is shown in the figure. The spacing between trusses is 3 meters. A vertical pressure of 5 kN/m² is applied on the roof surface. a) Classify the plane truss shown in the figure as unstable, statically determinate, or statically indeterminate. b) What type of load is acting on the roof truss shown in the figure (roof self-weight, snow or wind)? c) Determine the loads on the roof truss based on the tributary area and the load path. The roof is simply supported on purlins which, in turn, are attached to the joints at the top chord of the truss. d) Determine the external reactions. e) Are there any zero force members in this plane truss? f) Determine the forces in all the members of the truss. g) Check equilibrium at the last joint analyzed. h) Represent the forces acting on each joint of the truss using vectors (arrows). Write the magnitude of the member forces and the corresponding horizontal and vertical components on the free-body diagram of the truss. 5 kN/m² 5 kN/m2 3 m E Roof A B C Purlin 2 at 8 m = 16 m
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Transcribed Image Text:An interior truss supporting a building roof is shown in the figure. The spacing between trusses is 3 meters. A vertical pressure of 5 kN/m² is applied on the roof surface. a) Classify the plane truss shown in the figure as unstable, statically determinate, or statically indeterminate. b) What type of load is acting on the roof truss shown in the figure (roof self-weight, snow or wind)? c) Determine the loads on the roof truss based on the tributary area and the load path. The roof is simply supported on purlins which, in turn, are attached to the joints at the top chord of the truss. d) Determine the external reactions. e) Are there any zero force members in this plane truss? f) Determine the forces in all the members of the truss. g) Check equilibrium at the last joint analyzed. h) Represent the forces acting on each joint of the truss using vectors (arrows). Write the magnitude of the member forces and the corresponding horizontal and vertical components on the free-body diagram of the truss. 5 kN/m² 5 kN/m2 3 m E Roof A B C Purlin 2 at 8 m = 16 m
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