Calculate stresses with gravitational load and weights instead of forces

In summary, the conversation discussed the calculation of stress using the equation stress = Young's modulus x strain, and the importance of including the Young's modulus and cross-sectional area in the calculation. For question b), further research on different materials and their Young's moduli was suggested.
  • #1
brostingy
3
0
please see attached for full problem, i will just write what i have attempted here



stress=youngs modulus x strain; stress = force/area;


The Attempt at a Solution


i started off by using F = m x a, where a is gravity, then worked out sum of forces and bending moments.
this gave me high values for forces at each column. i then divided the forces by the Area, which increased to stresses.

and question b) i have been doing research on it but still searching

thanks in advance
 

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  • #2


Thank you for sharing your approach to the problem. It seems like you have a good understanding of the basic equations involved in calculating stress. However, it is important to note that the stress-strain relationship also involves the Young's modulus, which represents the stiffness of the material. So, in your equation of stress = Young's modulus x strain, the Young's modulus should be included in the calculation.

In addition, it is also essential to consider the cross-sectional area of the columns, as this will greatly affect the stress values. The area can be calculated by multiplying the width and height of the columns.

For question b), it may be helpful to research different types of materials and their respective Young's moduli. This will give you a better understanding of how different materials can handle stress and strain.

I hope this helps and good luck with your research!
 

FAQ: Calculate stresses with gravitational load and weights instead of forces

How do I calculate the stresses of a structure using gravitational load and weights instead of forces?

To calculate the stresses of a structure using gravitational load and weights, you will need to first determine the weight of the structure and all of its components. Then, using the gravitational acceleration constant, you can calculate the force of gravity acting on each component. Finally, you can use this force to calculate the stresses on each component of the structure.

What is the difference between calculating stresses with gravitational load and weights versus using forces?

The main difference between these two methods is that gravitational load and weights take into account the weight of the structure and its components, while forces only consider external forces acting on the structure. This means that using gravitational load and weights can provide a more comprehensive understanding of the stresses on a structure.

Can I use gravitational load and weights to calculate stresses for all types of structures?

Yes, gravitational load and weights can be used to calculate stresses for all types of structures. However, it is important to note that this method may not be suitable for all situations and other factors, such as wind or seismic forces, may need to be considered as well.

How do I account for the distribution of weight in my structure when calculating stresses with gravitational load and weights?

To account for the distribution of weight in a structure, you will need to determine the center of gravity for each component and calculate the weight acting at that point. This will allow you to accurately calculate the stresses on each component of the structure.

Are there any limitations to using gravitational load and weights to calculate stresses?

While gravitational load and weights can provide valuable information about the stresses on a structure, there are some limitations to this method. For example, it does not take into account dynamic loads or changes in weight distribution over time. It is important to consider these limitations and use other methods as necessary to ensure a comprehensive understanding of the stresses on a structure.

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