**Learning Goal:**To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application.As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by \( a = 2.0 \, \text{ft} \), \( b = 6.0 \, \text{ft} \), and \( c = 10.5 \, \text{ft} \). The applied forces are \( F_1 = 1.50 \, \text{kips} \) and \( F_2 = 1.00 \, \text{kips} \). Force \( F_1 \) is applied at an angle \( \theta = 55^\circ \) with the horizontal. Neglect the weight of the beam. \( (\text{Figure 1}) \)### FigureThe figure shows a horizontal beam ABC:- Support A is to the left as a roller support.- Support C is to the right as a pin support.- The beam is divided into three sections labeled from A to B with length \( a = 2.0 \text{ ft} \), from B to C with length \( b = 6.0 \text{ ft} \), and the section from C to the point where force \( F_1 \) is applied with length \( c = 10.5 \text{ ft} \).- Force \( F_1 \) is applied at an angle \( \theta = 55^\circ \) near the end of the beam and force \( F_2 \) is applied vertically downward at point B.### Part A - Finding the vertical component of the reaction at ADetermine the vertical reaction at A.Express your answer to two significant figures and include the appropriate units.\[ A_y = \text{Value} \, \text{Units} \][Submit]### Part B - Finding the horizontal component of the reaction at CDetermine the horizontal component of the pin reaction at C.Express your answer to two significant figures and include the appropriate units.\[ C_x = \text{Value} \, \text{Units} \][Submit]### Part C - Finding the vertical component of the reaction at CDetermine the vertical component of the pin reaction at C.Express your answer to two significant figures and include the appropriate units

The free-body diagram of the beam is drawn below.

Learning Goal: Part A - Finding the vertical component of the reaction at A To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application. Determine the vertical reaction at A As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by a = 2.0 ft, b=6.0 ft, and c= 10.5 ft. The applied forces are F = 1.50 kip and F2 = 1.00 kip. Force F is applied at an angle 0 = 55° with the horizontal. Neglect the weight of the beam.(Figure 1) Express your answer to two significant figures and include the appropriate units. • View Available Hint(s) HẢ ? A, = Value Units Submit Part B - Finding the horizontal component of the reaction at C Determine the horizontal component of the pin reaction at C. Express your answer to two significant figures and include the appropriate units. > View Available Hint(s) ? Figure < 1 of 1> Cz = Value Units Submit Part C - Finding the vertical component of the reaction at C Determine the vertical component of the pin reaction at C. B Express your answer to two significant figures and include the appropriate units. • View Available Hint(s) ?

Learning Goal: Part A - Finding the vertical component of the reaction at A To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application. Determine the vertical reaction at A As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by a = 2.0 ft, b=6.0 ft, and c= 10.5 ft. The applied forces are F = 1.50 kip and F2 = 1.00 kip. Force F is applied at an angle 0 = 55° with the horizontal. Neglect the weight of the beam.(Figure 1) Express your answer to two significant figures and include the appropriate units. • View Available Hint(s) HẢ ? A, = Value Units Submit Part B - Finding the horizontal component of the reaction at C Determine the horizontal component of the pin reaction at C. Express your answer to two significant figures and include the appropriate units. > View Available Hint(s) ? Figure < 1 of 1> Cz = Value Units Submit Part C - Finding the vertical component of the reaction at C Determine the vertical component of the pin reaction at C. B Express your answer to two significant figures and include the appropriate units. • View Available Hint(s) ?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Learning Goal:**
To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application.

As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by \( a = 2.0 \, \text{ft} \), \( b = 6.0 \, \text{ft} \), and \( c = 10.5 \, \text{ft} \). The applied forces are \( F_1 = 1.50 \, \text{kips} \) and \( F_2 = 1.00 \, \text{kips} \). Force \( F_1 \) is applied at an angle \( \theta = 55^\circ \) with the horizontal. Neglect the weight of the beam. \( (\text{Figure 1}) \)

### Figure
The figure shows a horizontal beam ABC:
- Support A is to the left as a roller support.
- Support C is to the right as a pin support.
- The beam is divided into three sections labeled from A to B with length \( a = 2.0 \text{ ft} \), from B to C with length \( b = 6.0 \text{ ft} \), and the section from C to the point where force \( F_1 \) is applied with length \( c = 10.5 \text{ ft} \).
- Force \( F_1 \) is applied at an angle \( \theta = 55^\circ \) near the end of the beam and force \( F_2 \) is applied vertically downward at point B.

### Part A - Finding the vertical component of the reaction at A
Determine the vertical reaction at A.
Express your answer to two significant figures and include the appropriate units.
\[ A_y = \text{Value} \, \text{Units} \]
[Submit]

### Part B - Finding the horizontal component of the reaction at C
Determine the horizontal component of the pin reaction at C.
Express your answer to two significant figures and include the appropriate units.
\[ C_x = \text{Value} \, \text{Units} \]
[Submit]

### Part C - Finding the vertical component of the reaction at C
Determine the vertical component of the pin reaction at C.
Express your answer to two significant figures and include the appropriate units

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