Thursday

August 28, 2014

August 28, 2014

Posted by **deel** on Thursday, August 9, 2012 at 2:13am.

- math -
**MathMate**, Thursday, August 9, 2012 at 8:52amYou would use the relation of the circular cross-section of (w/2)²+(h/2)²=(12/2)² to relate h and w.

After multiplying by 4 on both sides and rearranging, we have w=√(12²-h²).

Now the stiffness has been defined as

S=k(w)(h³) where k is a constant.

If you substitute w from above then S is now a function of h only.

Can you take it from here?

- math -
**deel**, Thursday, August 9, 2012 at 11:08amh^3=s/kw

h^3=s/k(12-h)

sorry, I'm still confused how to get the function of h. please help me to complete the assignment. thank you

- math -
**MathMate**, Thursday, August 9, 2012 at 11:32amYou need to use the relation

w=√12²-h²) to eliminate w from the function S.

S(h)=k w h³

=k √12²-h²) h³

To find the maximum/minimum stiffness, you will proceed normally to equate

S'(h) = 0

to solve for h.

- math -
**deel**, Thursday, August 9, 2012 at 7:46pmyes i understand now, thanks for your help

- math :) -
**MathMate**, Thursday, August 9, 2012 at 8:46pmYou're welcome!

**Related Questions**

Calculus1 - The strength, S, of a rectangular wooden beam is proportional to its...

calculus - The strength of a rectangular beam is proportional to width*depth^2. ...

Calculus - A rectangular beam is cut from a cylindrical log of radius 30 cm. The...

calculus - A rectangular beam is cut from a cylindrical log of radius 25 cm. The...

Calculus - The strength of a beam with rectangular corss-section is directly ...

Calculus - The strength of a beam with rectangular corss-section is directly ...

calculus - Hi, I'm having trouble with this problem... "If the strength of a ...

College Algebra - The load L a horizontal beam can safely support varies jointly...

Math: Calculus - The max. weight M that can be supported by a beam is jointly ...

Math - The maximum weight M that can be supported by a beam is jointly ...