4-ø28 mm at the bottom and 2-ø20 mm at the top of the beam, Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter12: Composite Materials
Section: Chapter Questions
Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.
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A simply supported beam is reinforced with 4-ø28 mm at the bottom and 2-ø20 mm at the top of the beam, Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'=28 MPa, fy=415 MPa. Assume bars laid out in single layer.

Calculate the following if the limitin tensile steel strains is 0.004 for a ductile failure:

Depth of the neutral axis from the extreme concrete compression fiber  to the nearest whole number = _____________mm

Design strength of the beam section to the nearest whole number =____________ kN-m

Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = _____________ kN/m (to the nearest whole number)

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