A pole is connected to the wall with a ball and socket joint and is also supported by two cables. The weight of the pole is 80 lb. Forces F1 and F2 are applied to the pole at point D. F1 is +120j Ibs, and F2 is -340k lbs. (a) Draw the free body diagram of the pole (you do not need to include dimensions), make a list of all of the coordinates for each point, and write your assumptions. (b) Write the full set of equilibrium equations for the pole. (c) Solve for the tension in the cables CG and DF and for the reaction forces at A. The two cables are separate. Set up an Augmented Matrix from the equations in part b and use MatLab or equivalent to find the unknown forces. Alternatively, you may use substitution. Show the results as magnitudes. 4 ft 2 ft 1 ft 3 ft Note: The pole is angled down directly below the y-axis, i.e., x = 0 for pts A, B, C, and D. 2 ft 1.5 ft 1 ft 1 ft 2 ft F1 *F2 puts:
A pole is connected to the wall with a ball and socket joint and is also supported by two cables. The weight of the pole is 80 lb. Forces F1 and F2 are applied to the pole at point D. F1 is +120j Ibs, and F2 is -340k lbs. (a) Draw the free body diagram of the pole (you do not need to include dimensions), make a list of all of the coordinates for each point, and write your assumptions. (b) Write the full set of equilibrium equations for the pole. (c) Solve for the tension in the cables CG and DF and for the reaction forces at A. The two cables are separate. Set up an Augmented Matrix from the equations in part b and use MatLab or equivalent to find the unknown forces. Alternatively, you may use substitution. Show the results as magnitudes. 4 ft 2 ft 1 ft 3 ft Note: The pole is angled down directly below the y-axis, i.e., x = 0 for pts A, B, C, and D. 2 ft 1.5 ft 1 ft 1 ft 2 ft F1 *F2 puts:
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A Pole is connected to the wall with a ball and socket joint and also supported by two cables. The weight of the pole is 80 lb. Forces F1 and F2 are applied to the pole at point D. F1 is + 120j lbs. and F2 is -340k llbs.
(a) Draw the free body diagram of the pole, make a list of all of the coordinates for each point, and write your assumptions.
(b) Write the full set of equilibrium equations for the pole.
(c) solve for the tension in the cable CG and DF and for the reaction forces at A. The two cables are separate.
Augmented Matrix for RREF. When you copy your Augmented Matrix into MatLab, remember to only use the same number of equations (rows) as you have unknown values.
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