Find the load per meter run which can be carried by a 4m span by a simply supported beam if the maximum permissible stresses are 90MPa in compression and 24MPa in tension.

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written 9.4 years ago by

teamques10 ★ 70k

modified 3.8 years ago by

sagarkolekar ★ 11k

The tension flange of a cast iron I section beam is 240 mm wide and 50 mm deep. The compression flange is 100mm wide and 20mm deep, whereas the web is 300mm x 30mm. - enter image description here

strength of materials

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written 9.4 years ago by

teamques10 ★ 70k

l=4m

$f_{max - compression} = 90MPa$

$f_{max - tension} = 24MPa$

Location of the centre of gravity:

Part	Area(Ai)($mm^2$)	$y_i(mm)$	$A_iY_i(mm^3)$
Bottom Flange	240 x 50 = 12000	25	300000
Web	30 x 300 = 9000	200	1800000
Top Flange	100 x 20 = 2000	360	720000
-	$ΣA_i = …

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