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200 lb/ft 50 lb/ft" 6 ft- -50 lb/ft E 6 ft B 8 ft C 8 ft 8 ft

200 lb/ft 50 lb/ft" 6 ft- -50 lb/ft E 6 ft B 8 ft C 8 ft 8 ft

Structural Analysis
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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 In the truss below, members AE and EQ are pinned together at point E to form a billboard (see in cross-section in the figure). It is subjected to the distributed wind load shown in the figure.  Find the forces in each of the two-force members. 

**Diagram Explanation: Structural Analysis** This diagram represents a structural analysis model of a truss subjected to a combined distributed and point load. - **Distributed Load:** A triangular distributed load is applied to the left side of the structure. This load starts at 0 lb/ft at point B and increases linearly to 200 lb/ft at point A over a distance of 8 feet. Additionally, there is a uniform distributed load of 50 lb/ft applied over a horizontal beam section from point B to point E, which spans 6 feet. - **Point Load:** A concentrated point load (Q) is applied at point Q on the structure. - **Structural Dimensions:** The height of the frame is divided into three equal sections of 8 feet each, making the total height from point A to points D and G 24 feet. - From point A to B: 8 feet - From point B to C: 8 feet - From point C to points D and G: 8 feet - **Base Width:** The base of the structure spans horizontally 6 feet, with points G and D being 6 feet apart from each other. - **Support Points:** The structure has supports at points G and D. These supports are generally the locations where reactions occur and are crucial in equilibrium equations for analyzing the truss. **Force Analysis:** - At point A, a vertical point load of 50 lb/ft is applied downwards. - The triangular distributed load's base is at A, transferring varying intensities of load to member BE and points A and B. - Point Q, located at the midpoint between the top and bottom sections, indicates the point of application for the external load. **Structural Members:** - The truss consists of several members forming triangles (the fundamental shape in truss structures for ensuring stability) between points A, B, C, D, E, and G. - From points D to E, C to Q, and B to A, there are diagonal and vertical members suggesting a pattern to distribute and transfer applied loads to the supports. This diagram is essential for understanding how forces are distributed in a typical truss structure, helpful in the study of statics and structural engineering design.
Transcribed Image Text:**Diagram Explanation: Structural Analysis** This diagram represents a structural analysis model of a truss subjected to a combined distributed and point load. - **Distributed Load:** A triangular distributed load is applied to the left side of the structure. This load starts at 0 lb/ft at point B and increases linearly to 200 lb/ft at point A over a distance of 8 feet. Additionally, there is a uniform distributed load of 50 lb/ft applied over a horizontal beam section from point B to point E, which spans 6 feet. - **Point Load:** A concentrated point load (Q) is applied at point Q on the structure. - **Structural Dimensions:** The height of the frame is divided into three equal sections of 8 feet each, making the total height from point A to points D and G 24 feet. - From point A to B: 8 feet - From point B to C: 8 feet - From point C to points D and G: 8 feet - **Base Width:** The base of the structure spans horizontally 6 feet, with points G and D being 6 feet apart from each other. - **Support Points:** The structure has supports at points G and D. These supports are generally the locations where reactions occur and are crucial in equilibrium equations for analyzing the truss. **Force Analysis:** - At point A, a vertical point load of 50 lb/ft is applied downwards. - The triangular distributed load's base is at A, transferring varying intensities of load to member BE and points A and B. - Point Q, located at the midpoint between the top and bottom sections, indicates the point of application for the external load. **Structural Members:** - The truss consists of several members forming triangles (the fundamental shape in truss structures for ensuring stability) between points A, B, C, D, E, and G. - From points D to E, C to Q, and B to A, there are diagonal and vertical members suggesting a pattern to distribute and transfer applied loads to the supports. This diagram is essential for understanding how forces are distributed in a typical truss structure, helpful in the study of statics and structural engineering design.
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