3) From the figure shown; a) Calculate the force in member AB. b) Calculate the force in member CD. c) Calculate the force in member BD. Indicate if tension or compression. C 300KN 3m GookN B 2m 50° 40.747 D 4m.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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The diagram presents a truss structure with members labeled as AB, CD, and BD. The truss is supported horizontally at points A and D, with point C positioned vertically above the midpoint of AD.

Key Measurements and Forces:
- Member AB and AD are inclined with angles given: AB has an angle of 50°, and BD has an angle of 40.79° with the horizontal.
- Point C is connected vertically by member CD, which is 3 meters above the AD line.
- A horizontal force of 600 kN is applied at point B towards the right.
- A vertical load of 300 kN is applied downwards at point C.
- The horizontal distance between points A and D is 4 meters.
- The vertical distance from line AD to point C is 5 meters (3m from C to B and 2m from B to AD).

Tasks to Solve:
a) Calculate the force in member AB and determine if it is in tension or compression.
b) Calculate the force in member CD and determine if it is in tension or compression.
c) Calculate the force in member BD and determine if it is in tension or compression.
Transcribed Image Text:The diagram presents a truss structure with members labeled as AB, CD, and BD. The truss is supported horizontally at points A and D, with point C positioned vertically above the midpoint of AD. Key Measurements and Forces: - Member AB and AD are inclined with angles given: AB has an angle of 50°, and BD has an angle of 40.79° with the horizontal. - Point C is connected vertically by member CD, which is 3 meters above the AD line. - A horizontal force of 600 kN is applied at point B towards the right. - A vertical load of 300 kN is applied downwards at point C. - The horizontal distance between points A and D is 4 meters. - The vertical distance from line AD to point C is 5 meters (3m from C to B and 2m from B to AD). Tasks to Solve: a) Calculate the force in member AB and determine if it is in tension or compression. b) Calculate the force in member CD and determine if it is in tension or compression. c) Calculate the force in member BD and determine if it is in tension or compression.
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