**Educational Content on Beam Reaction Forces****Learning Goal:**To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application.**Problem Statement:**As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by \( a = 4.0 \, \text{ft} \), \( b = 6.0 \, \text{ft} \), and \( c = 12.0 \, \text{ft} \). The applied forces are \( F_1 = 1.50 \, \text{kip} \) and \( F_2 = 2.00 \, \text{kip} \). Force \( F_1 \) is applied at an angle \( \Theta = 40^\circ \) with the horizontal. Neglect the weight of the beam. [Refer to Figure 1]**Diagram Explanation (Figure 1):**The diagram illustrates a horizontal beam ABC supported at two points: a roller at point A and a pin at point C. The distances are marked as follows:- \( a \): Distance from point A to the point of application of \( F_2 \), which acts downward.- \( b \): Horizontal distance between points A and B.- \( c \): Horizontal distance between points B and C.Two forces are applied:- \( F_1 \): Applied at point C at an angle \( \Theta \) from the horizontal.- \( F_2 \): Applied vertically downward at a distance \( a \) from point A.**Task A:**Determine the vertical reaction at A.- Express your answer to two significant figures and include the appropriate units.- Input box provided to enter \( A_y \).**Task 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.- Input box provided to enter \( C_x \).**Task 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.- Input box provided to enter \( C_y \).**Instructions:**Use the provided hints and input sections to calculate and submit your answers.

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 = 4.0 ft, b = 6.0 ft, and c = 12.0 ft. The applied forces are F₁ = 1.50 kip and F₂ = 2.00 kip. Force F₁ is applied at an angle = 40° with the horizontal. Neglect the weight of the beam. (Figure 1) Figure B y C " < 1 of 1 > Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) Ay = Submit O Submit μÅ Value 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) C₂ = Value Cy= Submit μA O Bwa ? Units ▼ Part C - Finding the vertical component of the reaction at C μA Determine the vertical component of the pin reaction at C. Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) Value 1 P Units ? Units ?

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 = 4.0 ft, b = 6.0 ft, and c = 12.0 ft. The applied forces are F₁ = 1.50 kip and F₂ = 2.00 kip. Force F₁ is applied at an angle = 40° with the horizontal. Neglect the weight of the beam. (Figure 1) Figure B y C " < 1 of 1 > Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) Ay = Submit O Submit μÅ Value 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) C₂ = Value Cy= Submit μA O Bwa ? Units ▼ Part C - Finding the vertical component of the reaction at C μA Determine the vertical component of the pin reaction at C. Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) Value 1 P Units ? Units ?

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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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

**Educational Content on Beam Reaction Forces**

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

**Problem Statement:**
As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by \( a = 4.0 \, \text{ft} \), \( b = 6.0 \, \text{ft} \), and \( c = 12.0 \, \text{ft} \). The applied forces are \( F_1 = 1.50 \, \text{kip} \) and \( F_2 = 2.00 \, \text{kip} \). Force \( F_1 \) is applied at an angle \( \Theta = 40^\circ \) with the horizontal. Neglect the weight of the beam. [Refer to Figure 1]

**Diagram Explanation (Figure 1):**
The diagram illustrates a horizontal beam ABC supported at two points: a roller at point A and a pin at point C. The distances are marked as follows:
- \( a \): Distance from point A to the point of application of \( F_2 \), which acts downward.
- \( b \): Horizontal distance between points A and B.
- \( c \): Horizontal distance between points B and C.

Two forces are applied:
- \( F_1 \): Applied at point C at an angle \( \Theta \) from the horizontal.
- \( F_2 \): Applied vertically downward at a distance \( a \) from point A.

**Task A:**
Determine the vertical reaction at A.
- Express your answer to two significant figures and include the appropriate units.
- Input box provided to enter \( A_y \).

**Task 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.
- Input box provided to enter \( C_x \).

**Task 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.
- Input box provided to enter \( C_y \).

**Instructions:**
Use the provided hints and input sections to calculate and submit your answers.

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The given structure is a statically determinate beam. Using the equations of equilibrium

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