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3.) Observe the situation below where cables are under tension and are supporting a suspended load. The weight of the load is 128 Ib. CA, CB and CD are cables that are in tension. a) Draw a simple FBD and identify and label all forces acting at point C b) Calculate the unit vectors representing the direction of each force c) Represent each force as a vector (magnitude times a unit vector)

3.) Observe the situation below where cables are under tension and are supporting a suspended load. The weight of the load is 128 Ib. CA, CB and CD are cables that are in tension. a) Draw a simple FBD and identify and label all forces acting at point C b) Calculate the unit vectors representing the direction of each force c) Represent each force as a vector (magnitude times a unit vector)

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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3.) Observe the situation below where cables are under tension and are supporting a suspended load. The weight of the load is 128 Ib. CA, CB and CD are cables that are in tension. a) Draw a simple FBD and identify and label all forces acting at point C b) Calculate the unit vectors representing the direction of each force c) Represent each force as a vector (magnitude times a unit vector) d) Write down a vector force equation for equilibrium (in terms of i,j,k). e) Write this vector equation as 3 scalar equations with 3 unknowns. Finally represent them as a matrix equation AX = B. A is the matrix of coefficients, X is the column matrix of unknowns, B is the column matrix of constants. f) Solve the equations, for the cable tensions of CA, CB, CD. You may express the solutions as scalars. g) Due to an error, the load is accidentally made to be 228 Ib! If the maximum tension for any cable is exactly 300 lbs, does the load collapse? Show your work. D 8 ft 6 ft 6 ft
Transcribed Image Text:3.) Observe the situation below where cables are under tension and are supporting a suspended load. The weight of the load is 128 Ib. CA, CB and CD are cables that are in tension. a) Draw a simple FBD and identify and label all forces acting at point C b) Calculate the unit vectors representing the direction of each force c) Represent each force as a vector (magnitude times a unit vector) d) Write down a vector force equation for equilibrium (in terms of i,j,k). e) Write this vector equation as 3 scalar equations with 3 unknowns. Finally represent them as a matrix equation AX = B. A is the matrix of coefficients, X is the column matrix of unknowns, B is the column matrix of constants. f) Solve the equations, for the cable tensions of CA, CB, CD. You may express the solutions as scalars. g) Due to an error, the load is accidentally made to be 228 Ib! If the maximum tension for any cable is exactly 300 lbs, does the load collapse? Show your work. D 8 ft 6 ft 6 ft
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