A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2

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A rectangular beam 250 mm wide, 500 mm deep is reinforced at the
bottom with 4-20-mm-diameter bars and at the top with 2-16-mm
bars. Concrete cover to bar centroid at the top is 80 mm and
at the bottom is 70 mm. Use concrete strength
f’c = 27 MPa and steel yield strength
fy = 415 MPa for 20-mm bars and
fy = 345 MPa for 16-mm bars.
Determine the maximum steel ratio if the beam is singly
reinforced in negative bending with the given material strengths
and the tensile strain is limited to 0.005 upon crushing of
concrete. Write the answer in 5 decimal places only.