A beam of rectangular cross section 200 mm deep and 100 mm wide. Ifthe beam is 3m long, simply...

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A beam of rectangular cross section 200 mm deep and 100 mm wide. Ifthe beam is 3m long, simply supported at either end and carries pointloads as shown in(a) Calculate the maximum bending moment(b) Calculate the maximum stress in the beam(c) At the point of maximum stress sketch a graph of the stressdistribution through the thickness of the beam, indicating which aretensile and compressive stresses.(d) Determine the dimensions of the cross section which will minimisethe maximum stress value if:• the cross sectional area of the beam can be increased by 20%• the beam section is to remain a solid rectangle• neither the breadth or depth of the beam section can be reducedbelow their original dimensions.Show the dimensions of the proposed beam cross section with the aidof a sketch

David · Accepted Answer

(a)
(b) Bending stress = 11.25 MN/m2 
(C) 
At the point of maximum stress  the negative compressive force to be -6.29 N/m2 and the 
positive tensile force to be +6.29 N/m2. 
( d) 
At the point of maximum stress the beam stronger is to make it deeper.

A beam of rectangular cross section 200 mm deep and 100 mm wide. Ifthe beam is 3m long, simply supported at either end and carries pointloads as shown in(a) Calculate the maximum bending moment(b)...

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