What is the force for the first story for column line A (kips , tension = positive)What is the force for the first story for column line B (kips , tension = positive)What is the vertical reaction on line C (kips, tension = positive) This diagram represents a structural frame of a building, which is divided into three stories (labeled Story 1, Story 2, and Story 3) and four columns (labeled A, B, C, and D). Each story height and floor loads are provided.### Diagram Breakdown:#### Stories:- **Story 1**: The base of the structure, starting from the ground (Floor 0) to Floor 1 with a height of 15 feet.- **Story 2**: From Floor 1 to Floor 2 with a height of 12 feet.- **Story 3**: From Floor 2 to the roof (Floor 3) with a height of 12 feet.#### Columns:- **Column A**: Spans 20 feet horizontally.- **Column B**: Spans 20 feet horizontally.- **Column C**: Spans 30 feet horizontally.- **Column D**: Defines the far end of the building.#### Loads:- **Story 3 (Roof)**: W1 load applied with a lateral load of 4K (indicating a force in kilopounds).- **Story 2**: W1 and W2 loads with a 3K lateral load.- **Story 1**: W2 load with a 2K lateral load.#### Bracing:- Diagonal braces are indicated in each section, providing lateral support and stability.### Detailed Elements:- **Numbering**: Elements such as beams and braces are labeled numerically (1-12), showing the connections and components in each frame.- **Heights and Distances**: Vertical distances between floors (15', 12', 12') and horizontal column spans (20', 20', 30') are clearly marked.- **Floor Labels**: Floors are labeled from the ground (Floor 0) to the roof (Floor 3) for clarity.The detailed layout and forces on the structure suggest an analysis for stability, load-bearing capacity, and the effect of external forces such as wind or seismic activity. This diagram is particularly useful for educational purposes in civil or structural engineering courses.

Given: Line A, B, C To find: Force

What is the force for the first story for column line A (kips , tension = positive) What is the force for the first story for column line B (kips , tension = positive) What is the vertical reaction on line C (kips, tension = positive)

What is the force for the first story for column line A (kips , tension = positive) What is the force for the first story for column line B (kips , tension = positive) What is the vertical reaction on line C (kips, tension = positive)

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

What is the force for the first story for column line A (kips , tension = positive)

What is the force for the first story for column line B (kips , tension = positive)

What is the vertical reaction on line C (kips, tension = positive)

This diagram represents a structural frame of a building, which is divided into three stories (labeled Story 1, Story 2, and Story 3) and four columns (labeled A, B, C, and D). Each story height and floor loads are provided.

### Diagram Breakdown:

#### Stories:
- **Story 1**: The base of the structure, starting from the ground (Floor 0) to Floor 1 with a height of 15 feet.
- **Story 2**: From Floor 1 to Floor 2 with a height of 12 feet.
- **Story 3**: From Floor 2 to the roof (Floor 3) with a height of 12 feet.

#### Columns:
- **Column A**: Spans 20 feet horizontally.
- **Column B**: Spans 20 feet horizontally.
- **Column C**: Spans 30 feet horizontally.
- **Column D**: Defines the far end of the building.

#### Loads:
- **Story 3 (Roof)**: W1 load applied with a lateral load of 4K (indicating a force in kilopounds).
- **Story 2**: W1 and W2 loads with a 3K lateral load.
- **Story 1**: W2 load with a 2K lateral load.

#### Bracing:
- Diagonal braces are indicated in each section, providing lateral support and stability.

### Detailed Elements:

- **Numbering**: Elements such as beams and braces are labeled numerically (1-12), showing the connections and components in each frame.
- **Heights and Distances**: Vertical distances between floors (15', 12', 12') and horizontal column spans (20', 20', 30') are clearly marked.
- **Floor Labels**: Floors are labeled from the ground (Floor 0) to the roof (Floor 3) for clarity.

The detailed layout and forces on the structure suggest an analysis for stability, load-bearing capacity, and the effect of external forces such as wind or seismic activity. This diagram is particularly useful for educational purposes in civil or structural engineering courses.

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