Civil Calculations Channel 1

[Shangri]

 

[jayrod12]

Smells like homework. Iteration is trying different values for the variables until the solution converges, i.e. the left side matches the right side. Try solving the equation with h=2.5 and you'll see the left and right won't match.

 

[Shangri]

Ok thus when i will use 2.242 for only right side it should match the left side but it does not so what am i doing wrong ? Thanks for your replay

 

[jayrod12]

That's because it shouldn't match for 2.242. It should match for 3.094 (the final answer). 2.242 would be a starting point. The trick to iteration is to use whatever the newly calculated number is and try again.

For example:

Input h=2.242 you solve the right side and get 2.896 which doesn't match so on to the next iteration

Input h=2.896 repeat solving h=3.049...... repeat steps until the number entered equals the number solved. This really is basic mathematical solving, I think it's day one of numerical methods.

 

[gbam]

This is called successive approximation. We always hope that the iterations converge; sometimes they diverge.

 

[Shangri]

Thanks i got it now it was confusing coz i thought that he/she has taken h=2.242 and that give the answer which was 3.094m. Now thanks to your post it was h=3.049 and our Hn is equal