### Problem 5.79#### Problem Statement:For the beam and loading of Problem 5.78, determine:(a) the distance \( a \) for which \( w_A = 20 \, \text{kN/m} \),(b) the corresponding value of \( w_B \).#### Diagram Details:- The beam is subjected to a linearly varying distributed load and two concentrated loads.- The distributed load starts at \( w_A \) at the left end (point A) and varies linearly to \( w_B \) at the right end (point B).- There are two concentrated loads acting downwards: - A 24 kN load located 0.6 meters from point A. - A 30 kN load located 0.3 meters from point B.- The total length of the beam from point A to point B is 1.8 meters.#### Figure Description:- Fig. P5.78 displays the beam with the distributed and concentrated loads.- The distributed load is represented by a series of downward arrows starting from \( w_A \) at point A and increasing linearly to \( w_B \) at point B.- The beam is shown horizontally with designated distances for the concentrated loads and overall length: - The distance from point A to the point where the 24 kN load is applied is 0.6 meters. - The distance from point B to the point where the 30 kN load is applied is 0.3 meters. - The total length of the beam is 1.8 meters.These details will help determine the distance \( a \) and the corresponding value of \( w_B \) using the principles of static equilibrium and the conditions described in the problem statement.

A beam with loading condition is given =20KN

Answered: 5.79 For the beam and loading of Prob.…

5.79 For the beam and loading of Prob. 5.78, determine (a) the distance a for which w = 20 kN/m, (b) the corresponding value of wg. 24 kN a=0.6 m Fig. P5.78 1.8 m - 30 kN 0.3 m B wp

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

### Problem 5.79

#### Problem Statement:
For the beam and loading of Problem 5.78, determine:
(a) the distance \( a \) for which \( w_A = 20 \, \text{kN/m} \),
(b) the corresponding value of \( w_B \).

#### Diagram Details:
- The beam is subjected to a linearly varying distributed load and two concentrated loads.
- The distributed load starts at \( w_A \) at the left end (point A) and varies linearly to \( w_B \) at the right end (point B).
- There are two concentrated loads acting downwards:
- A 24 kN load located 0.6 meters from point A.
- A 30 kN load located 0.3 meters from point B.
- The total length of the beam from point A to point B is 1.8 meters.

#### Figure Description:
- Fig. P5.78 displays the beam with the distributed and concentrated loads.
- The distributed load is represented by a series of downward arrows starting from \( w_A \) at point A and increasing linearly to \( w_B \) at point B.
- The beam is shown horizontally with designated distances for the concentrated loads and overall length:
- The distance from point A to the point where the 24 kN load is applied is 0.6 meters.
- The distance from point B to the point where the 30 kN load is applied is 0.3 meters.
- The total length of the beam is 1.8 meters.

These details will help determine the distance \( a \) and the corresponding value of \( w_B \) using the principles of static equilibrium and the conditions described in the problem statement.

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