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I have a question which requires me to calculate the maximum stress in a simple supported beam.

The beam is 3 m long and rectangular and has two forces acting down vertically totalling 20 kN.

The breadth of the cross sectional plane is 100mm and depth is 200mm

I am a bit rusty on this but below shows my working;

- I Calculated the second moment of area about the neutral axis, = (b*d^3)/12

where b = 100mm and d = 20mm

(100*200^3)/12 mm4

thus (100*200^3)/12 *10^-12 m4

Moment area based on neutral axis = 6.666*10^-5 m4

y= 100 mm = 100*10^-3 m

I used the complete bend theory equation to transpose to ;

σ=M*y/I

σ= (30*100*10^-3)/(6.666*10^-5

= 2.25*10^6 Nm^-2

So maximum stress = 2.25 Mn

both edges are equal distances from the neutral axis

Can someone tell me if im correct? or on the right lines?

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# Calculating the maximum stress of the in the beam? Am i correct?

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