Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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**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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Transcribed Image Text:**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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