Gradient at roller and pin support

In summary, the author only stated that zero displacement occurs at the pin and roller support, but did not mention that the slope at these supports is also zero. The slope is maximum at the ends of the beam where the supports are located, not zero. The slope is minimum in the middle of the beam and only becomes zero at the center.
  • #1
chetzread
801
1

Homework Statement


in the notes , why did the author only stated that zero displacement occur at pin and roller support?
Why the author didnt stated that the slope at pin and roller support is also = 0 ?

Homework Equations

The Attempt at a Solution


As we can see from the figure, the gradient at pin and roller support = 0 ?
 

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  • #2
The slope is maximum at the ends of the beam, where the pin and roller are located, not zero.
 
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  • #3
David Lewis said:
The slope is maximum at the ends of the beam, where the pin and roller are located, not zero.
why not = 0?
 
  • #4
David Lewis said:
The slope is maximum at the ends of the beam, where the pin and roller are located, not zero.
the slope is minimum in the middle of the beam, and 0 at the 2ends of beam, right?
 
  • #5
The beam is sagging. Slope is zero only at the center of the beam. But at either end, slope is maximum.
 

1. What is the purpose of a gradient at roller and pin support?

The gradient at roller and pin support is used to determine the change in elevation of a structure or object at a specific location. It helps engineers and architects design structures that can withstand the forces of gravity and ensure stability.

2. How is the gradient at roller and pin support calculated?

The gradient at roller and pin support is calculated by taking the change in elevation divided by the horizontal distance. This can be represented mathematically as: gradient = (change in elevation) / (horizontal distance).

3. What is the difference between a roller support and a pin support?

A roller support allows for rotation of the structure or object, while a pin support does not. A roller support only restricts movement in the vertical direction, while a pin support restricts movement in both the vertical and horizontal directions.

4. Can a structure have both roller and pin supports?

Yes, a structure can have both roller and pin supports. This is known as a combination support and is often used to provide stability and prevent rotation in specific areas of a structure.

5. How does the gradient at roller and pin support affect the design of a structure?

The gradient at roller and pin support plays a crucial role in the design of a structure as it helps determine the structural integrity and stability. Engineers use this information to determine the appropriate size and strength of materials needed to support the structure and ensure it can withstand the forces of gravity.

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