**Determine the force in each member of the loaded truss. The force is positive if in tension, negative if in compression.****Diagram Description:**The diagram shows a truss with three joints labeled A, B, and C. - **Angle at Joint A:** 49°- **Angle at Joint C:** 18°- **Angle at Joint C with horizontal:** 54°A weight, labeled as W, hangs vertically at joint B. **Truss Members:**- Member AB- Member AC- Member BC**Answers:** (Fill in each calculated force)- AB = ___ W- AC = ___ W- BC = ___ WAnalyzing the truss involves determining the force in each member, considering whether each member is in tension (positive force) or compression (negative force).

Solution: Free body diagram:Using equilibrium condition: ΣFy=0ABsin49-BCsin18-W=00.755AB-0.309BC=W -(1)ΣFx=0-ABcos49-BCcos18=00.656AB+0.951BC=0 -(2) Solving equation 1 and 2: (1)×0.951⇒0.718AB-0.294BC=0.951W(2)×0.309⇒0.203AB+0.294BC=00.921AB=0.951WAB=1.033W (Tension)BC=-0.712W (Compression)Compute the angles: ∠A=180o-54o-49o=77o∠B=180o-77o-36o=67o∠C=54o-18o=36o Using sine rule: ABsin∠C=BCsin∠A=ACsin∠B Consider; ABsin∠C=ACsin∠BAC=ABsin∠Bsin∠C=1.033W×sin77osin36oAC=1.721W (Tension)Answer: AB=1.033W (Tension)AC=1.721W (Tension)BC=-0.712W (Compression)

Answered: Determine the force in each member of…

Engineering

Civil Engineering

Determine the force in each member of the loaded truss. The force is positive if in tension, negative if in compression. Answers: AB= i AC = i BC= i 54° 18⁰ A 49° W B 3 3 3 W W W

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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