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Participant

Join Date: May 2009
Location: NSW Australia
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How to Calculate the Load for a Small Bridge

05/18/2009 9:30 AM

Hi I am building a small culvert to replace some undersized piping under the entrance road to my rural property

I have basically built 2 parrallel 200mm thick steel reinforced walls (800mm high) on top of two very solid footings

The centres of the walls are 1900mm apart

I am proposing to use 4 pieces (2 on each wheel track) of 100mm x 50mm RHS steel tubing with a wall thickness of 6mm as supports for the decking

I have selected this steel because I have it "in stock"

I will orientate the RHS with the 100mm sides vertical

I would like to know what axle loads I could expect to be able to run over the culvert the normal vehicle weight (total) that uses this entrance is 2.5T but occassionally there may be a cattle truck entering, I'm guessing 8-10 Tonne total weight

If anymore info is required plaese let me know

ps the RHS steel has radiused shoulders if that is of note.

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#1

Re: How to Calculate the Load for a Small Bridge

05/18/2009 4:32 PM

Assuming the steel has a yield of 350 MPa, each HSS has a factored moment capacity, Mr = 16.0 kN-m.

Neglecting the dead load of the bridge, each HSS spanning 1.9m will carry a factored load at midspan of 33.6 kN, so four beams have a factored capacity of 134.7 kN at midspan. Using a safety factor of 1.5, the four beams will safely sustain 90 kN (20,200# or 9186 kg) if the load is precisely centered over the beams.

It appears that your structure could safely sustain an axle load of 9000 kg at midspan provided the load is directly centered over the beams. If the load shifts to one side or the other, some beams carry more than others and you could have problems.

You should have these figures checked by an engineer in your area as my consulting fee is not sufficient to assume professional liability for this design.

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#2
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Re: How to Calculate the Load for a Small Bridge

05/18/2009 6:54 PM

Hey Bruce, Using your original math, and a safety factor of 5, which I believe is standard for structural members, (more for seismic loads), gives me a total point load of 1346.66# , or 6.8 tons. Since the load is spread on two axles, 7 tons is a reasonable load, and forget it if the load sways.

Carl

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#3
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Re: How to Calculate the Load for a Small Bridge

05/18/2009 7:42 PM

Carl,

I used a safety factor of 1.5, not 5. Where does the 1346.66# come from? And 6.8 tons?

The question was what is the safe axle load on the bridge. I believe the answer is 9000 kg or 9 Tonnes but that is providing the load in centered on the beams. Some care should be exercised in ensuring that the wheels are centered over the beams. For lighter axle loads, it would not be quite so important.

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#4
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Re: How to Calculate the Load for a Small Bridge

05/19/2009 12:44 AM

I'm with ya on this ba/ael the support material is insufficient for the given conditions.

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Re: How to Calculate the Load for a Small Bridge

05/19/2009 12:52 AM

Fuzzey math? I just rounded off everything.

Thanks, I'll know better next time.

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#6

Re: How to Calculate the Load for a Small Bridge

05/20/2009 7:24 AM

Bruce,

Thankyou for your time and knowledge in responding to my question, I appreciate your assistance greatly.

I take on board your concerns about centering a fully laden light-truck over the beams although as previously mentioned this would be an infrequent occurence.

I have spent most of today cutting and preparing the beams ready for their installation but the installation side of things is on hold for I guess the next 3-4 days as we a expecting a very active rain depression starting here overnight and by tomorrow my work area will be awash.

Regards John

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#7
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Re: How to Calculate the Load for a Small Bridge

05/21/2009 12:06 AM

I take on board your concerns about centering a fully laden light-truck over the beams although as previously mentioned this would be an infrequent occurrence.

All it's going to take is one time.

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#8

Re: How to Calculate the Load for a Small Bridge

05/21/2009 12:51 AM

take on board= acknowledge

infrequent = not often

not often = you have time to check and double check that things are OK

negative = not positive

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#9

Re: How to Calculate the Load for a Small Bridge

05/27/2009 12:19 AM

coastal: I think a minimum factor for live load is 1.70. Also, how can we be sure your rectangular tubes have a tensile yield strength of 350 MPa? Some rectangular tubes might have a tensile yield strength of Sty = 315 MPa. Could some even be only mild steel? Could you give us the material specification for your rectangular tubes? Using FS = 1.70 and Sty = 315 MPa, I get a maximum allowable mass per axle of 7850 kg. I will let you work out the percentage of truck mass distributed to each axle, keeping in mind that some two-axle trucks perhaps have up to 80 % of their mass on the rear axle.

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#10

Re: How to Calculate the Load for a Small Bridge

05/29/2009 8:37 AM

aeon, Thankyou for your positive input on this matter, as the rectangular tube that I have is of unknown origin, I have checked it for any markings that may identify it. Unfortunately I can offer no further information about the tube but even if I use your more reserved load figures I am happy with the safety factor that I have, bearing in mind the use this "bridge" will get.

I also acknowledge your concerns about load sharing of front and rear axles on commercial vehicles

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