M1 B A |1.5 m - 2 m -2 m P1 1.5 m A frame consists of members AB and BC pinned together with an internal pin at B. A and C are pinned external supports. Calculate the value of support reaction Ay to the nearest whole number. Enter positive for up, negative for down. M = 126 N-m P = 321 N
M1 B A |1.5 m - 2 m -2 m P1 1.5 m A frame consists of members AB and BC pinned together with an internal pin at B. A and C are pinned external supports. Calculate the value of support reaction Ay to the nearest whole number. Enter positive for up, negative for down. M = 126 N-m P = 321 N
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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### Description:
A frame consists of members AB and BC pinned together with an internal pin at B. A and C are pinned external supports. Calculate the value of support reaction Ay to the nearest whole number. Enter positive for up, negative for down.
- **M (Moment) = 126 N·m**
- **P (Force) = 321 N**
#### Diagram Details:
- The frame forms an inverted "L" shape with a horizontal member AB and a vertical member BC.
- **Horizontal Member AB**:
- Length: 4 meters (divided into two 2-meter segments)
- An external clockwise moment \( M1 \) is applied at the midpoint of the horizontal segment.
- **Vertical Member BC**:
- Total height: 3 meters (divided into two 1.5-meter segments)
- A horizontal force \( P1 = 321 \, \text{N} \) is exerted to the right at the midpoint of the vertical segment.
#### Supports:
- Point A: Pinned support, allowing rotation but no translation.
- Point C: Pinned support at the base, allowing rotation but no translation.
### Calculation Requirement:
**Support Reaction Ay**: Determine the reaction at point A due to the given loads and moment. The result should be expressed as a whole number, positive for an upward reaction and negative for a downward one.
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This educational piece helps students apply concepts of static equilibrium in structural analysis, facilitating understanding of force and moment distribution across a fixed frame structure.
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