The compound beam shown in the figure consists of two segments, AB and BC, connected by a pin at B. The beam is subjected to a distributed force, a point force, and a couple moment. **Tasks:**a. Compute the reactions at supports A and C, and the force on pin B.b. Use the shortcut method to draw the shear-force and bending-moment diagrams for the entire compound beam.c. Determine the maximum values of shear force and bending moment for the compound beam along with their locations.**Diagram Details:**- **Support A:** Fixed support at the left end of the beam.- **Beam Segment AB:** - Length: 5 in (first part), 6 in, and 7 in (until the pin at B). - Distributed load: 12 lb/in over a portion of the beam.- **Pin B:** Connects segments AB and BC; located 8 inches from the start of the beam.- **Beam Segment BC:** - Starts with a point load of 60 lb applied downward. - Ends with a couple moment of 120 lb-in applied at the roller support C.- **Support C:** Roller support at the right end of the beam, 5 in and 7 in from pin B.The goal is to analyze the compound beam to determine support reactions, as well as shear and bending moments, using specified shortcuts and provide detailed diagrams.

The compound beam given in the figure is composed of a pair of beams, AB and BC, connected by a pin at B. The compound beam is subjected to a distributed force, a point force, and a couple moment. a. Compute the reactions at the supports A and C, and the force on pin B. b. Use the shortcut method to draw the shear-force and bending-moment diagrams for the entire compound beam. c. Determine the maximum values of shear force and bending moment for the compound beam along with their locations. A 5 in 6 in 12 lb/in 7 in Pin 8 in B 60 lb 5 in 120 lb-in 7 in C

The compound beam given in the figure is composed of a pair of beams, AB and BC, connected by a pin at B. The compound beam is subjected to a distributed force, a point force, and a couple moment. a. Compute the reactions at the supports A and C, and the force on pin B. b. Use the shortcut method to draw the shear-force and bending-moment diagrams for the entire compound beam. c. Determine the maximum values of shear force and bending moment for the compound beam along with their locations. A 5 in 6 in 12 lb/in 7 in Pin 8 in B 60 lb 5 in 120 lb-in 7 in C

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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Question

The compound beam shown in the figure consists of two segments, AB and BC, connected by a pin at B. The beam is subjected to a distributed force, a point force, and a couple moment.

**Tasks:**

a. Compute the reactions at supports A and C, and the force on pin B.
b. Use the shortcut method to draw the shear-force and bending-moment diagrams for the entire compound beam.
c. Determine the maximum values of shear force and bending moment for the compound beam along with their locations.

**Diagram Details:**

- **Support A:** Fixed support at the left end of the beam.
- **Beam Segment AB:**
- Length: 5 in (first part), 6 in, and 7 in (until the pin at B).
- Distributed load: 12 lb/in over a portion of the beam.
- **Pin B:** Connects segments AB and BC; located 8 inches from the start of the beam.
- **Beam Segment BC:**
- Starts with a point load of 60 lb applied downward.
- Ends with a couple moment of 120 lb-in applied at the roller support C.
- **Support C:** Roller support at the right end of the beam, 5 in and 7 in from pin B.

The goal is to analyze the compound beam to determine support reactions, as well as shear and bending moments, using specified shortcuts and provide detailed diagrams.

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Step 1: Given data

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Step 2: First convert uniformly varying and distributed load into point loads

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Step 3: Compute the reactions at the supports A and C, and the force on pin B

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Step 4: Calculation of shear force diagram

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Step 5: Calculation of bending moment diagram

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Step 6: Calculation of bending moment diagram

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Step 7: Calculation of maximum bending moment and its location

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Step 8: Draw the shear-force and bending-moment diagrams for the entire compound beam

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