Looking for examples of calculus in engineering

[ParabolicTet]

I am looking for simple examples of calculus in real-world engineering problems. An example would be generating shear and bending moment diagrams for beams in civil engineering. Another would be calculating the fuel to send a rocket in space, where the weight of rocket is constantly changing as more fuel is burned.

Just looking for simple examples like these...

 

[GBor]

Calculating root mean square acceleration for a vibration spectrum.

 

[corus]

Seems you have some good examples already. Your teacher will be pleased.

corus

 

[FeX32]

ODE or PDE?

How about a delay-differential equation.
Simplest one:
m*xdd+c*xd+k*x=H*x(t-tau)

This would describe a delayed feedback on a simple mass-spring system.


Fe

 

[rb1957]

F = m*a = m*xdd

 

[kellnerp]

You might check out Wolfram Mathworld.

TOP
CSWP, BSSE

http://www.engtran.com

http://www.niswug.org

"Node news is good news."

 

[AeroNucDef]

Have you tried looking on MIT's Open Course Ware sites. Just type in google: MIT OCW

Theirs all sorts on there. tutorials, videos....

 

[Twoballcane]

Your calculas for engineers book should have all of these examples. If you don't have one you can buy one:

http://www.amazon.com/Calculus-Scie...=sr_1_3?ie=UTF8&s=books&qid=1250519604&sr=1-3

Tobalcane
"If you avoid failure, you also avoid success."

 

[FeX32]

That book doesn't not cover delay differential equations. It is usually an option. However, a lot of real world systems really are delay systems. We just ignore the delay for easy of analysis.
In fact that book doesn't even cover differential equations at all.


Fe