### Determining Internal Shear Force and Moment at Point C**Problem Statement:**Determine the internal shear force and moment acting at point C in the beam.**Diagram Description:**We have a beam supported at two points: A and B, with point A being a pin support and point B being a roller support. The beam is subjected to a uniformly distributed load of 4 kip/ft over its entire length. The total length of the beam is 12 ft, evenly divided with 6 ft between A and C and another 6 ft between C and B.**Steps to Determine Internal Shear Force and Moment at Point C:**1. **Identify Reactions at Supports:** - Calculate the reaction forces at supports A and B using static equilibrium equations (ΣFy = 0 and ΣMz = 0).2. **Cut the Beam at Point C:** - Consider the left side of the beam to calculate the shear force and moment at point C.3. **Shear Force Calculation:** - Sum up all forces vertically at point C.4. **Bending Moment Calculation:** - Calculate the sum of moments about point C taking into account all forces and distances from C.Make sure to use standard static equilibrium equations and beam theory for these calculations. This analysis will give you insight into the internal stress distribution within the beam at any given point, particularly at point C for this problem.

Given data in question UVL Span member length Simply supported beam To find out Shear force at C…

Answered: Determine the internal shear force and…

Engineering

Civil Engineering

Determine the internal shear force and moment acting at point C in the beam. 4 kip/ft B 6 ft 6 ft

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

Frames

The trusses and frames are the two most important structural members of civil engineering. Trusses are the interconnection of links and other structural members. The interconnection with other members makes the system behave as a single member that supports and transfers loads. Trusses are generally two types, plane truss, and space truss. Frames on the other hand form the skeleton of any building construction. Frames are structures formed by the connection of beams, columns, slabs, and joists. These members provide the building with the required structural support.

Question

### Determining Internal Shear Force and Moment at Point C

**Problem Statement:**
Determine the internal shear force and moment acting at point C in the beam.

**Diagram Description:**
We have a beam supported at two points: A and B, with point A being a pin support and point B being a roller support. The beam is subjected to a uniformly distributed load of 4 kip/ft over its entire length. The total length of the beam is 12 ft, evenly divided with 6 ft between A and C and another 6 ft between C and B.

**Steps to Determine Internal Shear Force and Moment at Point C:**

1. **Identify Reactions at Supports:**
- Calculate the reaction forces at supports A and B using static equilibrium equations (ΣFy = 0 and ΣMz = 0).

2. **Cut the Beam at Point C:**
- Consider the left side of the beam to calculate the shear force and moment at point C.

3. **Shear Force Calculation:**
- Sum up all forces vertically at point C.

4. **Bending Moment Calculation:**
- Calculate the sum of moments about point C taking into account all forces and distances from C.

Make sure to use standard static equilibrium equations and beam theory for these calculations. This analysis will give you insight into the internal stress distribution within the beam at any given point, particularly at point C for this problem.

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