# Shear and Bending Moment Diagrams for a Ski

## Homework Statement

The ski supports the 900N weight of a person. If the snow loading on its bottom surface is trapezoidal determine the intensity w (N/m). Draw the shear and bending moment diagrams for the ski.
The ski has an overall length of 2m. The force arrows 'hang' of the bottom of the ski, sloping downwards for .5m then horizontal for 1m and then joining back to the other end of the ski.
Sorry but I ain't very good with descriptions.

## The Attempt at a Solution

To be brutally honest I don't a clue how to tackle this question. I've done other shear and bending moment diagrams before but the trapezoid has really thrown me. Any help would be greatly appreciated.

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Clue: The area of the trapezoid is equal to the applied load.

Here's the original question and what I think is how the point loads will look.

Am I on the right track?

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Your values correctly sum up the areas. So, now you can deduce the value of w. However, to obtain the shear and bending moment diagrams, you must express these functions based on the distributed nature of the loads, not the point loads you have shown. A good beginning would be: Let x be the distance from the left hand end. Derive a function of x that represents the loading w(x) in the first 0.5 m Then you are in a good position to develop expressions for shear and moment.

Here is my latest attempt. After several tries I think this is the closest I've gotten. Seems pretty wrong to me tho

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