*7.84 The beam AB supports the uniformly distributed load of 1000 N/m and two unknown forces P and Q. Knowing that it has been experimentally determined that the bending moment is -395 N.m at A and -215 N· m at C, (a) determine P and Q, (b) draw the shear and bending- moment diagrams for the beam.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Figure P7.84 Explanation**

The image depicts a horizontal beam labeled as AB, which is supported by a wall on the left side at point A. The beam is subjected to a uniformly distributed load of 1000 N/m acting vertically downward across its length from point A to a section near point B. Additionally, two vertical loads labeled P and Q are indicated as unknown forces acting downward at specified points on the beam.

**Dimensions and Load Distribution:**

1. The total length of the beam section shown is 0.65 meters.
2. The beam is segmented into three parts:
   - From A to C: 0.2 m.
   - From C to D: 0.2 m.
   - From D to B: 0.25 m.

**Problem Statement:**

- The problem provided is number 7.84.
- It involves determining the values of the unknown forces P and Q.
- The beam has known experimental bending moments of:
  - \(-395 \, \text{N} \cdot \text{m}\) at point A.
  - \(-215 \, \text{N} \cdot \text{m}\) at point C.

**Tasks:**

(a) Determine the unknown forces P and Q acting on the beam.

(b) Create shear and bending-moment diagrams for the beam.

These tasks will involve using the principles of static equilibrium and the relationships between loads, shear forces, and bending moments within the context of structural analysis.
Transcribed Image Text:**Figure P7.84 Explanation** The image depicts a horizontal beam labeled as AB, which is supported by a wall on the left side at point A. The beam is subjected to a uniformly distributed load of 1000 N/m acting vertically downward across its length from point A to a section near point B. Additionally, two vertical loads labeled P and Q are indicated as unknown forces acting downward at specified points on the beam. **Dimensions and Load Distribution:** 1. The total length of the beam section shown is 0.65 meters. 2. The beam is segmented into three parts: - From A to C: 0.2 m. - From C to D: 0.2 m. - From D to B: 0.25 m. **Problem Statement:** - The problem provided is number 7.84. - It involves determining the values of the unknown forces P and Q. - The beam has known experimental bending moments of: - \(-395 \, \text{N} \cdot \text{m}\) at point A. - \(-215 \, \text{N} \cdot \text{m}\) at point C. **Tasks:** (a) Determine the unknown forces P and Q acting on the beam. (b) Create shear and bending-moment diagrams for the beam. These tasks will involve using the principles of static equilibrium and the relationships between loads, shear forces, and bending moments within the context of structural analysis.
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