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1. Draw the Shear and Moment diagrams, and determine the maximum design shear and moment values for the member. 10KIPS 20KIPS -104 104 40 ft 10' 15KIPS

1. Draw the Shear and Moment diagrams, and determine the maximum design shear and moment values for the member. 10KIPS 20KIPS -104 104 40 ft 10' 15KIPS

Elements Of Electromagnetics
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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### Educational Transcription #### Problem Statement: 1. Draw the Shear and Moment diagrams, and determine the maximum design shear and moment values for the member. #### Diagram Explanation: The diagram represents a beam that is 40 feet long, supported at two points: a triangular support on the left and a circular support on the right. There are three concentrated forces acting downward on the beam: - A 10 KIPS (kilo-pound-force) load positioned 10 feet from the left support. - A 20 KIPS load positioned 20 feet from the left support. - A 15 KIPS load positioned 30 feet from the left support. Each segment between the forces and supports is clearly marked as 10 feet. #### Analysis Steps: 1. **Support Reactions:** - Calculate reactions at the supports using static equilibrium equations. 2. **Shear Force Diagram:** - Start from the left and progress towards the right, applying the effects of support reactions and loads. - The shear force will step up or down by the magnitude of each force as you move across the beam. 3. **Bending Moment Diagram:** - Use the area under the shear diagram to calculate the moment at key points. - Begin from any point where the moment is zero (typically at the supports) and calculate the moment across the beam. 4. **Maximum Values:** - Identify the maximum shear force and bending moment from the diagrams. This explanation covers the essentials for constructing shear and moment diagrams, focusing on the method and calculations necessary to handle the given beam scenario.
Transcribed Image Text:### Educational Transcription #### Problem Statement: 1. Draw the Shear and Moment diagrams, and determine the maximum design shear and moment values for the member. #### Diagram Explanation: The diagram represents a beam that is 40 feet long, supported at two points: a triangular support on the left and a circular support on the right. There are three concentrated forces acting downward on the beam: - A 10 KIPS (kilo-pound-force) load positioned 10 feet from the left support. - A 20 KIPS load positioned 20 feet from the left support. - A 15 KIPS load positioned 30 feet from the left support. Each segment between the forces and supports is clearly marked as 10 feet. #### Analysis Steps: 1. **Support Reactions:** - Calculate reactions at the supports using static equilibrium equations. 2. **Shear Force Diagram:** - Start from the left and progress towards the right, applying the effects of support reactions and loads. - The shear force will step up or down by the magnitude of each force as you move across the beam. 3. **Bending Moment Diagram:** - Use the area under the shear diagram to calculate the moment at key points. - Begin from any point where the moment is zero (typically at the supports) and calculate the moment across the beam. 4. **Maximum Values:** - Identify the maximum shear force and bending moment from the diagrams. This explanation covers the essentials for constructing shear and moment diagrams, focusing on the method and calculations necessary to handle the given beam scenario.
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