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Anonymous Poster

I-Beam Strength

12/17/2008 10:13 PM

I have to span a 25 foot garage with an I beam that shoud hold 2000 lbs at the center. Where do I go to find data for that kind of specification?

Frustrated

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Anonymous Poster
#1

Re: I-Beam Strength

12/18/2008 8:23 AM

The formula to use for a simply supported beam with a load in the center is

S = (WL)/8Z + (PL)/4Z

S is the stress in pounds/in2, W is the weight of the beam in pounds, L is the length of the beam in inches, Z is the section modulus in inches3, and P is the concentrated load in pounds. Kent's Mechanical Engineer's Handbook

Building codes state a maximum value for S; the local authorities can provide that number to you. That number has to be modified by a safety factor which depends on such factors as whether you will stand under the load, whether the load will be static or will have jerks, and other considerations.

Z and W for beams can be found in standard handbooks such as Machinery's Handbook or in proprietary handbooks such as Bethlehem Sections.

After selecting the beam for stress, you will need to determine the deflection in the center. That can be calculated by

Y = 5WL3/384EI + PL3/48EI Kent's Mechanical Engineer's Handbook

where Y = the deflection in inches, W, L, and P are as in the stress calculation, E is the modulus of elasticity (30,000,000 psi for steel), and I is the moment of inertia in inches4 which may also be found in handbooks such as Machinery's Handbook.

Tables of maximum loads can be found in handbooks such as Bethlehem Sections, but cannot be used in your case since they assume fixed ends, uniform load, dead load, and adequate overturn support.

Finally, the method by which the 2000 pound load is applied has to be one that allows loading of the full section of the beam without creating high shear stress, localized stresses, or any type of crippling. Welding and bolting are both likely to damage the strength of the beam unless done properly.

If all else fails, your local building inspector probably knows a rule of thumb to use for this. Ask him.

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#5
In reply to #1

Re: I-Beam Strength

12/19/2008 7:58 AM

I do not know who you are but, whomever, you wrote a blinding post there sir!

A GA has been added!.

Not sure if it makes any different as you are a guest but it shows you have thought this out. If you are not a member please join! It is a good place with clever people and the odd nutter! But it is a good laugh sometimes!

Take care and have a wonderful holiday....................

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Take it easy, bb. >"HEAR & you FORGET<>SEE & you REMEMBER<>DO & you UNDERSTAND"<=$=|O|=$=>"Common Sense is Genius dressed in its Working Clothes"<>[Ralph Waldo Emerson]
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Anonymous Poster
#2

Re: I-Beam Strength

12/19/2008 12:32 AM

I am not being funny but go to 84 lumber and they will size it. In addition, go to The Southern Pine Association.

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#4
In reply to #2

Re: I-Beam Strength

12/19/2008 7:53 AM

Hello Guest,

Not quite sure why you started your post as you did, but, what you write is not obvious or correct in any way shape or form, which it seems you imply!

I live mostly in the UK, and the beam supplier has no obligation to tell you what sized beam you should need!

The point you missed is, you should ask your local council/Authority Planning Dept. They are the ones who will come and check it anyway.

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Take it easy, bb. >"HEAR & you FORGET<>SEE & you REMEMBER<>DO & you UNDERSTAND"<=$=|O|=$=>"Common Sense is Genius dressed in its Working Clothes"<>[Ralph Waldo Emerson]
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#3

Re: I-Beam Strength

12/19/2008 12:52 AM

The best bet for easy calculation of various beams & etc. is a program named Beam 2d by Orand Systems. It is easy to use and inexpensive to purchase. Or, you can get many uses at no charge. Go to www.orandsystems.com.

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#6

Re: I-Beam Strength

12/19/2008 5:06 PM

Not my area, but wouldn't ANSI or ASTME have some specs. ?

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#7
In reply to #6

Re: I-Beam Strength

12/19/2008 9:51 PM

Hello DRFREON:

wouldn't ANSI or ASTME have some specs?

As you say these standards should apply. Or perhaps the software someone else advised to work out the size needed.

The guest.......I can't stand arrogant people and the guest seems like like. If he wants to tank the big talk let him join and we can see his colours. Sorry for the rand.

Take care and have a wonderful holiday...................

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Take it easy, bb. >"HEAR & you FORGET<>SEE & you REMEMBER<>DO & you UNDERSTAND"<=$=|O|=$=>"Common Sense is Genius dressed in its Working Clothes"<>[Ralph Waldo Emerson]
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Anonymous Poster
#8
In reply to #6

Re: I-Beam Strength

12/19/2008 11:17 PM

ANSI and ASTME will have specifications on the dimensions and materials used, but not on applications. For this purpose, local building codes would control.

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#9

Re: I-Beam Strength

12/22/2008 7:47 AM

You stated that you wished to use an "I" beam, which is usually called a wide flange beam in the industry. These beams may be made using many different grades (think strengths) of steel. The specification that is referenced by every building code I have ever worked with in the United States is the "Manual of Steel Construction" published by the American Institute of Steel Construction (AISC).

The first reply to your query was correct in a technical sense, however if you use the AISC manual you will have to be careful as S denotes the section modulus, and in structural engineering circles stress would usually be denoted by σ.

First, calculate the bending stress induced in the beam:σ = (PxL)/(4xS). (Note that I have not included the WL/8S portion of the formula referenced by another respondant, as that does not apply where there is only a "point" load at the center of the beam.) In this case you have (2000lb x 25 ft x 12in./ft.)/4xS, which boils down to bending stress = 150,000/S psi.

Allowable bending stress usually is 0.66 x minimum yield point of the steel. Most structural sections have a minimum yield point of 50,000 psi, but older steel (if you are using used sections) may be lower, around 36,000 psi. Being conservative this leaves you with an allowable bending stress of 0.66 x 36,000 psi, or 24,000 psi.

Now solve for S and you know the minimum section modulus (a number that mathematically describes the resistance of a certain shape to deformation.) Now go to AISC and choose a section with at least that section modulus.

You are not done yet! As the other respondant noted, this simply means the beam is strong enough to handle the load. It might sag 2 or three feet when the load is applied, which according to any building code I have seen would be unacceptable. Usually you want a maximum sag or deflection of L/240, less in many cases. In this case then, the maximum deflection would be 25ft * 12in/ft / 240 = 1.25 inches. (Again, you may require less sag depending on what this beam supports or what is above it.) This 1.25 inches is the "y" referenced by the other respondant, and you would substitute this into the equation y = PxL3/48xExI (again, the rest of the equation referenced would not apply in this case), and solve for I, the moment of inertia, which is also listed in the AISC manual for steel sections. Choose a beam with at least that moment of inertia and that section modulus, and you will be OK if our assumptions were correct (i.e. there really is only a load of only 2000 lb at the center of the beam and the ends are simply supported etc.)

Another respondant noted that a hardware store or perhaps a supplier would size the beam. I know that this is sometimes done, but use caution as I have been retained to perform forensic engineering in failures where the cause of the failure was just this. Hardware stores use tables intended to give an idea for estimating, but the clerk at the hardware store can not tell you if the assumptions are correct, or what would be a good support at the end, etc. Garbage in ....

I would suggest that if you are at all uncomfortable, find a licensed structural engineer. Sizing the beam is relatively simple and will not cost you a lot of money, and in the end you are assured of a positive result.

Hope this helps. YE

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#10
In reply to #9

Re: I-Beam Strength

12/24/2008 12:49 AM

Hi, yoderengineering!

Nice straightforward answer, and it seems you have given some really good assistance to the OP in the way you approached it.

GA

Mark

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