Determine the reaction (do not include sign) at the roller support
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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QUESTION: Consider the truss shown below. Determine the reaction (do not include sign) at the roller support if a vertical downward load of 12 kN is applied at joint A. Express your answers to the nearest whole number.
![### Truss Analysis Problem
#### Problem Statement:
Consider the truss shown below. Determine the reaction (do not include sign) at the roller support if a vertical downward load of 12 kN is applied at joint A. Express your answers to the nearest whole number.
#### Diagram Description:
The diagram presents a triangular truss structure with the following specifics:
- Points A, B, C, D, and E are joints of the truss.
- The truss is supported at joints A (pin support) and E (roller support).
- The length of AE is 6 meters, with intermediate points D and B.
- BE is a vertical member extending 2 meters upwards from point E.
- DE is a horizontal member of length 2 meters between points D and E.
- The distances along the horizontal axis from A to D, and from D to E are both 2 meters each.
- A vertical member BC extends 2 meters upwards from B to C.
- AC is diagonal with no specified length.
- A vertical load of 12 kN is applied downward at point A.
<img src="truss_diagram.png" alt="Truss Diagram">
#### Objective:
Calculate the reaction force at the roller support E under the given loading conditions.
This type of structural analysis problem helps students understand the principles of static equilibrium and analysis of truss structures commonly encountered in civil and structural engineering.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F706ad80a-f585-4c53-91a1-2729de7fd739%2F39e96990-ca50-4479-84d1-2a109620242c%2Fyem8i0t_processed.png&w=3840&q=75)
Transcribed Image Text:### Truss Analysis Problem
#### Problem Statement:
Consider the truss shown below. Determine the reaction (do not include sign) at the roller support if a vertical downward load of 12 kN is applied at joint A. Express your answers to the nearest whole number.
#### Diagram Description:
The diagram presents a triangular truss structure with the following specifics:
- Points A, B, C, D, and E are joints of the truss.
- The truss is supported at joints A (pin support) and E (roller support).
- The length of AE is 6 meters, with intermediate points D and B.
- BE is a vertical member extending 2 meters upwards from point E.
- DE is a horizontal member of length 2 meters between points D and E.
- The distances along the horizontal axis from A to D, and from D to E are both 2 meters each.
- A vertical member BC extends 2 meters upwards from B to C.
- AC is diagonal with no specified length.
- A vertical load of 12 kN is applied downward at point A.
<img src="truss_diagram.png" alt="Truss Diagram">
#### Objective:
Calculate the reaction force at the roller support E under the given loading conditions.
This type of structural analysis problem helps students understand the principles of static equilibrium and analysis of truss structures commonly encountered in civil and structural engineering.
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