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Determine the components of reaction at the pinned supports A and C of the two-member frame. Neglect the thickness of the members. Assume B is a pin.

Determine the components of reaction at the pinned supports A and C of the two-member frame. Neglect the thickness of the members. Assume B is a pin.

Structural Analysis
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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### Problem 4 **Objective:** Determine the components of reaction at the pinned supports A and C of the two-member frame. Neglect the thickness of the members. Assume B is a pin. **Given:** - Uniformly distributed load of 10 kN/m is applied vertically downward on the vertical member AC from point A to a height of 4 meters. - Uniformly distributed load of 8 kN/m is applied vertically downward on the horizontal member AB and BC, each spanning horizontally over a length of 6 meters. - Vertical height of 2.5 meters from B to the horizontal members AB and BC. **Diagram Description:** The frame is a two-member frame with pinned supports at points A and C: - Point A is at the bottom-left corner. - Member AB is inclined at an angle, extending from A to B. - Member BC is another inclined member extending from B to C, symmetrically mirrored from AB. - Point C is at the bottom-right corner. **Dimensions:** - Horizontal distance from A to B: 6 meters - Horizontal distance from B to C: 6 meters - Height from A to top of the vertical load: 4 meters - Height from B to the horizontal members (AB and BC): 2.5 meters. **Loading:** - Vertical member spanning from A to C has a uniformly distributed load of 10 kN/m over the 4-meter height. - Horizontal members AB and BC have uniformly distributed loads of 8 kN/m each over their 6-meter spans. The solution requires analyzing the forces acting on the frame to compute the reaction forces at supports A and C. These reaction forces typically include vertical and horizontal components at each support due to the applied loads.
Transcribed Image Text:### Problem 4 **Objective:** Determine the components of reaction at the pinned supports A and C of the two-member frame. Neglect the thickness of the members. Assume B is a pin. **Given:** - Uniformly distributed load of 10 kN/m is applied vertically downward on the vertical member AC from point A to a height of 4 meters. - Uniformly distributed load of 8 kN/m is applied vertically downward on the horizontal member AB and BC, each spanning horizontally over a length of 6 meters. - Vertical height of 2.5 meters from B to the horizontal members AB and BC. **Diagram Description:** The frame is a two-member frame with pinned supports at points A and C: - Point A is at the bottom-left corner. - Member AB is inclined at an angle, extending from A to B. - Member BC is another inclined member extending from B to C, symmetrically mirrored from AB. - Point C is at the bottom-right corner. **Dimensions:** - Horizontal distance from A to B: 6 meters - Horizontal distance from B to C: 6 meters - Height from A to top of the vertical load: 4 meters - Height from B to the horizontal members (AB and BC): 2.5 meters. **Loading:** - Vertical member spanning from A to C has a uniformly distributed load of 10 kN/m over the 4-meter height. - Horizontal members AB and BC have uniformly distributed loads of 8 kN/m each over their 6-meter spans. The solution requires analyzing the forces acting on the frame to compute the reaction forces at supports A and C. These reaction forces typically include vertical and horizontal components at each support due to the applied loads.
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