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Problem 4: Draw the shear and moment diagrams for the cantilevered beam shown below. 600 lb 40 lb/ft -12 ft- -20 ft- 1000 lb-ft

Problem 4: Draw the shear and moment diagrams for the cantilevered beam shown below. 600 lb 40 lb/ft -12 ft- -20 ft- 1000 lb-ft

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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**Problem 4:** Draw the shear and moment diagrams for the cantilevered beam shown below. *Description of the diagram:* The diagram illustrates a cantilevered beam subjected to two types of loading: 1. A uniformly distributed load (UDL) of 40 lb/ft extending over the first 12 feet of the beam. 2. A point load of 600 lb applied downward at the free end of the beam. Additionally, there is a moment of 1000 lb·ft applied at the free end of the beam, acting in the clockwise direction. **Beam Specifications:** - Total Length of Beam: 20 feet - Length of Uniform Load Application: 12 feet - Uniform Load Intensity: 40 lb/ft - Point Load: 600 lb - Applied End Moment: 1000 lb·ft **Key Notations:** - The beam is fixed at one end, creating a cantilever condition. - The UDL starts from the fixed end and extends for 12 feet along the beam. - The point load and the moment are both applied at the free end of the beam. For students and professionals in structural engineering, you need to determine: 1. The shear force distribution along the length of the beam. 2. The bending moment distribution along the length of the beam. Visual representation of shear and moment diagrams will help in understanding the variations and the critical points along the beam.
Transcribed Image Text:**Problem 4:** Draw the shear and moment diagrams for the cantilevered beam shown below. *Description of the diagram:* The diagram illustrates a cantilevered beam subjected to two types of loading: 1. A uniformly distributed load (UDL) of 40 lb/ft extending over the first 12 feet of the beam. 2. A point load of 600 lb applied downward at the free end of the beam. Additionally, there is a moment of 1000 lb·ft applied at the free end of the beam, acting in the clockwise direction. **Beam Specifications:** - Total Length of Beam: 20 feet - Length of Uniform Load Application: 12 feet - Uniform Load Intensity: 40 lb/ft - Point Load: 600 lb - Applied End Moment: 1000 lb·ft **Key Notations:** - The beam is fixed at one end, creating a cantilever condition. - The UDL starts from the fixed end and extends for 12 feet along the beam. - The point load and the moment are both applied at the free end of the beam. For students and professionals in structural engineering, you need to determine: 1. The shear force distribution along the length of the beam. 2. The bending moment distribution along the length of the beam. Visual representation of shear and moment diagrams will help in understanding the variations and the critical points along the beam.
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