**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.

The moment at point A can be determined as, The moment at point C can be determined as,

*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.

*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

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

**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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