**Problem 5.61 and 5.62****Objective:**Determine (a) the magnitude and location of the resultant of the distributed load, (b) the reactions at the beam supports.**Description:**A beam, marked as AB, is horizontally placed with a fixed support at point A. The beam is subject to a triangular distributed load that starts from 600 N/m at point A and decreases linearly to 240 N/m at point B.**Specifications:**- The beam extends 6.2 meters in total, with a section of 2 meters from point A to a transition point, followed by 4.2 meters to point B.- The load is distributed along its length, decreasing from 600 N/m to 240 N/m.**Figure:**- The diagram (Fig. P5.61) shows the beam AB with support at A and a triangular distributed load decreasing from left to right across the beam.**Task:**- Calculate the resultant force of this distributed load and its point of application.- Determine the reactions at the support points of the beam.

Drawing the distribution separately , ⇒F=area of triangle +area of…

5.61 and 5.62 For the beam and loading shown, determine (a) the magnitude and location of the resultant of the distributed load, (b) the re- actions at the beam supports. 600 N/m 240 N/m B LA -2 m -4.2 m Fig. P5.61

5.61 and 5.62 For the beam and loading shown, determine (a) the magnitude and location of the resultant of the distributed load, (b) the re- actions at the beam supports. 600 N/m 240 N/m B LA -2 m -4.2 m Fig. P5.61

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 5.61 and 5.62**

**Objective:**
Determine (a) the magnitude and location of the resultant of the distributed load, (b) the reactions at the beam supports.

**Description:**

A beam, marked as AB, is horizontally placed with a fixed support at point A. The beam is subject to a triangular distributed load that starts from 600 N/m at point A and decreases linearly to 240 N/m at point B.

**Specifications:**

- The beam extends 6.2 meters in total, with a section of 2 meters from point A to a transition point, followed by 4.2 meters to point B.
- The load is distributed along its length, decreasing from 600 N/m to 240 N/m.

**Figure:**
- The diagram (Fig. P5.61) shows the beam AB with support at A and a triangular distributed load decreasing from left to right across the beam.

**Task:**
- Calculate the resultant force of this distributed load and its point of application.
- Determine the reactions at the support points of the beam.

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