Draw the shear and moment diagrams for the beam shown. Determine the maximum magnitude of shear force and the maximum magnitude of bending moment and location between the supports where the bending moment is zero. [V(max) = 621 lb, M(max) = 676 lb ft, x= 3.39 ft]
Draw the shear and moment diagrams for the beam shown. Determine the maximum magnitude of shear force and the maximum magnitude of bending moment and location between the supports where the bending moment is zero. [V(max) = 621 lb, M(max) = 676 lb ft, x= 3.39 ft]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Draw the shear and moment diagrams for the beam shown. Determine the maximum magnitude of shear force and the maximum magnitude of bending moment and location between the supports where the bending moment is zero. [V(max) = 621 lb, M(max) = 676 lb ft, x= 3.39 ft]
Transcribed Image Text:The image depicts a simply supported beam with a uniform load acting on it. The details are as follows:
- **Uniform Load:** The beam experiences a uniform load of 200 pounds per foot (lb/ft) along its entire length.
- **Supports:**
- The beam is supported by two types of supports:
- On the left side, there is a fixed support denoted by a triangular symbol with a pin, generally referred to as a pin support.
- On the right side, a roller support is shown, represented by a circle, which allows horizontal movement but restricts vertical movement.
- **Dimensions:**
- The distance from the left support to the location of the roller support is 4.8 feet.
- The distance from the roller support to the right end of the beam is 2.6 feet.
- **Beam Length:** Therefore, the total length of the beam is the sum of the two segments: 4.8 feet + 2.6 feet = 7.4 feet.
This diagram is likely used to analyze the internal forces such as shear and moment experienced by the beam, calculate reactions at the supports, or design the beam for structural stability under the specified load conditions.
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