1000 lb 2000 ft-lb y 1500 lb k4 ft- -4 ft-4 ft- 250 lb/ft 12 ft A) Compute the external reactions supporting the beam. Don't ignore the applied couple of 2000 ft-lb. B) Construct the Shear Diagram (use complete labeling). C) Construct the Bending Moment Diagram (use complete labeling).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Image of Beam with External Forces and Reactions:**

The image shows a beam supported at two points: one with a pin support on the left end and a roller support on the right end. The total length of the beam is 24 feet. 

- **External Forces:**
  - A 1000 lb downward force is applied 4 feet from the left end.
  - A 1500 lb downward force is applied 8 feet from the left end.
  - A uniform distributed load of 250 lb/ft is applied over the last 12 feet on the right.
  - A clockwise couple of 2000 ft-lb is applied at the left end.

- **Beam Dimensions:**
  - The beam is divided into equal sections of 4 feet each, marked from left to right.

**Instructions:**

A) Compute the external reactions supporting the beam. Carefully consider all forces and moments, including the 2000 ft-lb couple.

B) Construct the Shear Diagram. Make sure to label each section clearly, indicating how the shear force varies along the length of the beam.

C) Construct the Bending Moment Diagram. Ensure all points along the beam are labeled, capturing the effect of loads and moments on the bending moment distribution.
Transcribed Image Text:**Image of Beam with External Forces and Reactions:** The image shows a beam supported at two points: one with a pin support on the left end and a roller support on the right end. The total length of the beam is 24 feet. - **External Forces:** - A 1000 lb downward force is applied 4 feet from the left end. - A 1500 lb downward force is applied 8 feet from the left end. - A uniform distributed load of 250 lb/ft is applied over the last 12 feet on the right. - A clockwise couple of 2000 ft-lb is applied at the left end. - **Beam Dimensions:** - The beam is divided into equal sections of 4 feet each, marked from left to right. **Instructions:** A) Compute the external reactions supporting the beam. Carefully consider all forces and moments, including the 2000 ft-lb couple. B) Construct the Shear Diagram. Make sure to label each section clearly, indicating how the shear force varies along the length of the beam. C) Construct the Bending Moment Diagram. Ensure all points along the beam are labeled, capturing the effect of loads and moments on the bending moment distribution.
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