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calculated ultimate stress vs book tables
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Posted by: berlitz ®

02/08/2010, 09:04:17

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hi all,
I made an excell program that calculates the stress in an I beam using the fomula sigma=My/I. Where y is the dist to the nutral axis x-x.

The program is to calc any beam, but I am trying to find out the optium size of a medium strength concrete beam with a Ultimate strength (in the book) of 4ksi. Everything appears to be calculating properly, but I am confused.

As I increase the heigth of the web, the calculated stress lowers. This makes scence as stress is force over area, and there is more area. As I shrink the material in the beam, web, flange, height,etc., the moment of Inertia shrinks and being the devisor, gives a higher stress number.

So what does this mean? I am assuming my calculated stress has to be below the ultimate stress in the book (college Mech of materials book). Is this true? I would expect that increasing the web heigth would increase the strength, and that the calculation gives me the stress at the x-x nutral axis. Also that this calculated number should not exceed 4ksi or the concrete beam will fail.

Would some of you please confirm this logic, fundemental as it is. I see the trees, but not the forest. Thank You.








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: calculated ultimate stress vs book tables
: calculated ultimate stress vs book tables -- berlitz Post Reply Top of thread Engineering Forum
Posted by: icfbunt ®

02/08/2010, 20:28:15

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MY/I gives the stress at a distance Y from the n.a. The highest bending stress will be at the outer edge, and this is the area of concern. The bending stress at the n.a. is typically zero (y=0). As you increase I, sigma goes down as it should. A 2x4 and a 2x6 spanning 10' and carring a pt load at midspan (simply supported beam) both have the same bending moment (M), but the 2x6 has a lower sigma since it has a larger section modulus. Not sure if that's what your asking, but hope it helps.

Bunt







Modified by icfbunt at Mon, Feb 08, 2010, 20:29:19


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