Flat roof, joists resting on timer lintel. Sizing/Span chart

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I am looking to build small extension wih a flat roof on the back of the garage.

The one end of the joists (2.8m long) will be on the brick wall, whilst the other will rest on a timber lintel. The lintel will need to span 4m.

Can anyone point me towards a span table for this for timber sizing?
 
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There aren't any for that use. You need to calculate a beam of timber or steel
 

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