Q.4) (a) Find the support reactions of the beam shown below (M = 10.33 kN-m). (b) Write the expressions for shear-force (V) and bending-moment (M) for a beam section between points C and D, as a function of x measured from the left-end support. 3 kN 6 kN 8 m 600 N/m 30 1200 N/m M A B C 900 N/m - 4 m 2 m 12 m 6 m
Q.4) (a) Find the support reactions of the beam shown below (M = 10.33 kN-m). (b) Write the expressions for shear-force (V) and bending-moment (M) for a beam section between points C and D, as a function of x measured from the left-end support. 3 kN 6 kN 8 m 600 N/m 30 1200 N/m M A B C 900 N/m - 4 m 2 m 12 m 6 m
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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
Transcribed Image Text:**Assignment Q.4**
**(a)** Find the support reactions of the beam shown below (M = 10.33 kN-m).
**(b)** Write the expressions for shear-force (V) and bending-moment (M) for a beam section between points C and D, as a function of x measured from the left-end support.
**Diagram Explanation:**
The given diagram shows a simply supported beam with multiple loads and supports:
- **Support at Point A:** A hinge support is pinned at point A, which allows rotational movements and supports reactions vertically and horizontally.
- **Support at Point B:** A roller support or bearing at point B which can provide a vertical reaction and allows horizontal displacement.
**Loads and Distances:**
1. **Point Load at A:** A vertical point load of 3 kN downward at the left end of the beam (location A).
2. **Uniform Distributed Load between A and C:** A uniformly distributed load (UDL) starting from point A to point D is depicted.
- From 0 to 4 m: UDL of 600 N/m
- From 4 m to 12 m: UDL of 900 N/m
3. **Increasing Load between C and D:**
- From point C to point D: A linearly increasing load from 600 N/m to 1200 N/m covering 8 meters.
4. **Point Load at D:** A downward-pointing force of 6 kN, applied at an angle of 30 degrees.
5. **Dimensions:**
- A to B total 20 meters.
- Point C is located 4 meters from point A.
- Point D is situated 8 meters beyond point C making 12 meters from point A.
- Distance between D and point B is 6 meters.
This comprehensive illustration contrasts various forces and constraints acting on the beam and introduces a scenario for assessment in structural analysis.
---
Information like this generally helps create informative resources for students engaged in structural engineering or mechanics studies, allowing them to practice problem-solving related to beam reactions and moments.
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