A triangular distributed load of max intensity w =370 N/m acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the reaction forces at A and C. Enter your answers in Cartesian components. Assume the masses of both beam AB and member CD are negligible. cc 30 BY NC SA 2016 Eric Davishahl Variable Value a b C 5.20 m 8.32 m 3.64 m The reaction at A is A = Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. N. The reaction at C' is = D N. Y₁ -b- X î+ B î+ W'
A triangular distributed load of max intensity w =370 N/m acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the reaction forces at A and C. Enter your answers in Cartesian components. Assume the masses of both beam AB and member CD are negligible. cc 30 BY NC SA 2016 Eric Davishahl Variable Value a b C 5.20 m 8.32 m 3.64 m The reaction at A is A = Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. N. The reaction at C' is = D N. Y₁ -b- X î+ B î+ W'
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![### Problem Description
A triangular distributed load with a maximum intensity of \( w = 370 \, \text{N/m} \) acts on beam \( AB \). The beam is supported by a pin at \( A \) and connected to member \( CD \), which is also pinned at \( C \) and \( D \). Your task is to determine the reaction forces at \( A \) and \( C \). Provide your answers in Cartesian components. Assume that the masses of both beam \( AB \) and member \( CD \) are negligible.
### Diagram Explanation
The figure shows a horizontal beam \( AB \) being acted upon by a triangular distributed load. The load intensity starts from zero at point \( A \) and increases linearly to the maximum \( w \) at point \( B \).
- \( A \): Pin support at the left end of the beam.
- \( B \): Right end of the beam.
- \( C \) and \( D \): Connection points of the member \( CD \), with \( C \) on the vertical side.
- \( x \) and \( y \): Coordinate axes indicating horizontal and vertical directions respectively.
The distributed load is shown with downward arrows in a triangular shape across the beam \( AB \).
### Dimension Values
Dimensions given in the problem (note: the figure may not be to scale):
- \( a = 5.20 \, \text{m} \)
- \( b = 8.32 \, \text{m} \)
- \( c = 3.64 \, \text{m} \)
### Reaction Forces
You are required to find the Cartesian components of the reaction forces at points \( A \) and \( C \):
- **Reaction at \( A \):**
\[
\mathbf{A} = \Box \, \hat{\imath} + \Box \, \hat{\jmath} \, \text{N}
\]
- **Reaction at \( C \):**
\[
\mathbf{C} = \Box \, \hat{\imath} + \Box \, \hat{\jmath} \, \text{N}
\]
Fill in the boxes with the appropriate values after performing the necessary calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e7ba281-dd87-4688-be97-9abf26130e05%2F3346dda1-2398-4458-8b32-41a40fa19283%2Ffr0kv45_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
A triangular distributed load with a maximum intensity of \( w = 370 \, \text{N/m} \) acts on beam \( AB \). The beam is supported by a pin at \( A \) and connected to member \( CD \), which is also pinned at \( C \) and \( D \). Your task is to determine the reaction forces at \( A \) and \( C \). Provide your answers in Cartesian components. Assume that the masses of both beam \( AB \) and member \( CD \) are negligible.
### Diagram Explanation
The figure shows a horizontal beam \( AB \) being acted upon by a triangular distributed load. The load intensity starts from zero at point \( A \) and increases linearly to the maximum \( w \) at point \( B \).
- \( A \): Pin support at the left end of the beam.
- \( B \): Right end of the beam.
- \( C \) and \( D \): Connection points of the member \( CD \), with \( C \) on the vertical side.
- \( x \) and \( y \): Coordinate axes indicating horizontal and vertical directions respectively.
The distributed load is shown with downward arrows in a triangular shape across the beam \( AB \).
### Dimension Values
Dimensions given in the problem (note: the figure may not be to scale):
- \( a = 5.20 \, \text{m} \)
- \( b = 8.32 \, \text{m} \)
- \( c = 3.64 \, \text{m} \)
### Reaction Forces
You are required to find the Cartesian components of the reaction forces at points \( A \) and \( C \):
- **Reaction at \( A \):**
\[
\mathbf{A} = \Box \, \hat{\imath} + \Box \, \hat{\jmath} \, \text{N}
\]
- **Reaction at \( C \):**
\[
\mathbf{C} = \Box \, \hat{\imath} + \Box \, \hat{\jmath} \, \text{N}
\]
Fill in the boxes with the appropriate values after performing the necessary calculations.
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