50 kN 1 m 4 m 3 kN/m 75 kN 37°

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Draw the shear force diagram and the bending moment diagram for the anchor beam below.

### Structural Analysis Problem

In this diagram, we have a structural beam fixed at point A with various loads applied to it. The beam spans a total length of 5 meters, composed of two segments: a 1-meter segment and a 4-meter segment.

**Load Details:**
1. **Concentrated Load:**
   - A vertical concentrated load of 50 kN is applied downward at a distance of 1 meter from the fixed support at point A.
   
2. **Distributed Load:**
   - A triangular distributed load starts at point A and extends over the next 4 meters. This load varies linearly, with a maximum intensity of 3 kN/m at the 4-meter mark.
   
3. **Inclined Load:**
   - An inclined force of 75 kN is applied at the end of the 5-meter span, forming an angle of 37 degrees with the horizontal.

**Diagram Explanation:**
- The *fixed support* at point A is depicted using hatching marks, indicating that the beam is restrained in all directions and is unable to move or rotate at this point.
- The *concentrated load* at 1 meter from point A is represented by a single downward arrow labeled "50 kN."
- The *distributed load* is shown as a series of downward arrows forming a triangular shape over the 4-meter segment, with an intensity label of "3 kN/m."
- The *inclined load* is illustrated with an arrow indicating the direction of the force. The arrow orientation reflects an angle of 37 degrees relative to the horizontal plane, and the force magnitude is labeled as "75 kN."
- Horizontal dimensions between load points and the support are marked with double-headed arrows, specifying the distances between these points as 1 meter and 4 meters, respectively.

This structural beam setup is commonly analyzed in engineering to determine the reaction forces at the supports, internal shear forces, and bending moments throughout the beam due to the applied loads.
Transcribed Image Text:### Structural Analysis Problem In this diagram, we have a structural beam fixed at point A with various loads applied to it. The beam spans a total length of 5 meters, composed of two segments: a 1-meter segment and a 4-meter segment. **Load Details:** 1. **Concentrated Load:** - A vertical concentrated load of 50 kN is applied downward at a distance of 1 meter from the fixed support at point A. 2. **Distributed Load:** - A triangular distributed load starts at point A and extends over the next 4 meters. This load varies linearly, with a maximum intensity of 3 kN/m at the 4-meter mark. 3. **Inclined Load:** - An inclined force of 75 kN is applied at the end of the 5-meter span, forming an angle of 37 degrees with the horizontal. **Diagram Explanation:** - The *fixed support* at point A is depicted using hatching marks, indicating that the beam is restrained in all directions and is unable to move or rotate at this point. - The *concentrated load* at 1 meter from point A is represented by a single downward arrow labeled "50 kN." - The *distributed load* is shown as a series of downward arrows forming a triangular shape over the 4-meter segment, with an intensity label of "3 kN/m." - The *inclined load* is illustrated with an arrow indicating the direction of the force. The arrow orientation reflects an angle of 37 degrees relative to the horizontal plane, and the force magnitude is labeled as "75 kN." - Horizontal dimensions between load points and the support are marked with double-headed arrows, specifying the distances between these points as 1 meter and 4 meters, respectively. This structural beam setup is commonly analyzed in engineering to determine the reaction forces at the supports, internal shear forces, and bending moments throughout the beam due to the applied loads.
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