Calculating Stiffness of Aluminum Plate with Pressure Load

In summary, the individual is a novice in engineering and has a question regarding calculating the stiffness of a 100x40 inch plate with a honeycomb structure and a pressure load of 75 psi. The individual correctly calculates the stiffness to be 100000 lbs/in and asks for suggestions. Another individual mentions that the stiffness may vary depending on the direction and that stiffness values are usually high due to small deflections. They also suggest double checking the units and total load calculation. The high stiffness of the plate is attributed to the honeycomb structure and the fact that it is supported on all four sides.
  • #1
har_rai
10
0
Hi all:

I am fresh to engineering and have basic question.

I have a 100 inch length and 40 inch wide & 6 in depth plate , it has honeycomb structure what I mean 0.125 inch face sheet of aluminum on either side and rest (6-.125*2)is honeycomb made of alumnium.It is supportted on 4 sides.Pressure load on this is 75 psi. I need to calculate the stiffness of this plate for this load.

I know the deflection from test which is 3 inch at the center for this load.

Once I know the deflection then stiffness would be total load on the plate which is (100*40*75=300000 lbs) devided by deflection, which is 300000/3=100000lbs/in.

Do u think I am right in this.Please give some suggestions.

But i am wondering how come it is so stiff (100000 lbs/in)

thks
 
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  • #2
In the specific case of 1-D you are correct. Since you are dealing with a honeycomb structure, the deflections may not be consistent in each direction. This would mean that you have different stiffness depending on direction considered.

Stiffnesses are usually very high numbers because there are very small deflections for large stresses.
 
  • #3


Hi there,

It looks like you're on the right track with your calculation for stiffness. Just a couple things to consider: make sure you're using consistent units (psi for the load and inches for the deflection) and also double check your calculation for the total load on the plate. It should be 100*40*75/144 = 20833.33 lbs. Also, keep in mind that the stiffness value you calculated is for the entire plate, so it may seem high since it's spread out over a large area.

As for your question about the plate being so stiff, it's likely due to the honeycomb structure. Honeycomb structures are known for their high strength-to-weight ratio and can provide excellent stiffness even with relatively thin face sheets. Additionally, the fact that the plate is supported on all four sides also contributes to its stiffness.

Hope this helps! Keep up the good work in your engineering studies.
 

FAQ: Calculating Stiffness of Aluminum Plate with Pressure Load

What is the formula for calculating the stiffness of an aluminum plate with pressure load?

The formula for calculating the stiffness of an aluminum plate with pressure load is: E * (t^3) / 12(1-v^2), where E is the modulus of elasticity, t is the thickness of the plate, and v is the Poisson's ratio of aluminum.

What is the modulus of elasticity for aluminum?

The modulus of elasticity for aluminum is typically around 69 GPa (10,000,000 psi).

How do I determine the thickness of the aluminum plate for a given pressure load?

To determine the thickness of the aluminum plate, you can rearrange the stiffness formula to solve for t. So t = (12(1-v^2) * (stiffness/E))^(1/3). Input your desired stiffness and modulus of elasticity to find the appropriate thickness.

Is the stiffness of an aluminum plate affected by the size or shape of the plate?

No, the stiffness of an aluminum plate is not affected by the size or shape, as long as the material and thickness remain constant. The stiffness only changes with the modulus of elasticity and thickness of the plate.

What are some common units for stiffness and pressure load in this calculation?

The most common units for stiffness are N/m^2 or Pa (Pascals). Pressure load is typically measured in N/m^2 or MPa (Megapascals). It is important to make sure the units are consistent in the calculation to get an accurate result.

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