# What is the maximum load the concrete can support?

## Homework Statement

A certain type of concrete has a tensile breaking stress of 3.1 MN/m^2, a compressive breaking stress of 37.7 MN/m^2 and a shear breaking stress of 9.4 MN/m^2. A circular pillar of this concrete has a radius of 0.6 m. What is the maximum load it can support assuming that it is evenly distributed over the top of the pillar?

## The Attempt at a Solution

I haven't dealt with this sort of problem where the object has more than one type of stress applied to it. I tried finding the maximum load (or force) by adding up all the stresses and multiplying by the area which in this case is πr^2 but this doesn't give me the correct answer. I'm running out of ideas, could Pythagoras' theorem be considered? Please help!

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You added a tension stress to a compression stress? is the pillar going to be compressed, or will it be stretched, if it is supporting some "load"?
Is the load above it, below it, or beside it?

NascentOxygen
Staff Emeritus
Which of those stresses would apply to an upright pillar supporting a load from above?

You added a tension stress to a compression stress? is the pillar going to be compressed, or will it be stretched, if it is supporting some "load"?
Is the load above it, below it, or beside it?
Ah of course, how silly of me! Even though there are multiple stresses in the problem, only one is required for solving. Thank you!

DEvens