A rectangular concrete beam having a width of 200 mm and effective depth of 400 mm will be designed to carry the factored design load as stated. The steel yield strength Fy=275 MPa and concrete strength f’c=20.7 MPa. If the compression steel is found necessary, it will be placed 60 mm from the extreme compression fiber of the beam. Neglect the effect of the displaced concrete and use the 2010 NSCP. a) Determine the number of pieces of 20 mm diameter tension steel for a singly reinforced section to carry a factored design moment of 20 kN-m. b) Determine the number of pieces of 20 mm diameter tension steel for a reinforced concrete section to carry a factored design moment of 120 kN-m. c) Determine the number of pieces of 20 mm diameter compression steel for a reinforced concrete section to carry a factored design moment of 120 kN-m. d) Determine the number of pieces of 32 mm diameter tension steel for a reinforced concrete section to carry a factored design moment of 220 kN-m. e) Determine the number of pieces of 20 mm diameter compression steel for a reinforced concrete section to carry a factored design moment of 220 kN-m.

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 rectangular concrete beam having a width of 200 mm and effective depth of 400 mm will be designed to carry the factored design load as stated. The steel yield strength Fy=275 MPa and concrete strength f’c=20.7 MPa. If the compression steel is found necessary, it will be placed 60 mm from the extreme compression fiber of the beam. Neglect the effect of the displaced concrete and use the 2010 NSCP.
a) Determine the number of pieces of 20 mm diameter tension steel for a singly reinforced section to carry a factored design moment of 20 kN-m.
b) Determine the number of pieces of 20 mm diameter tension steel for a reinforced concrete section to carry a factored design moment of 120 kN-m.
c) Determine the number of pieces of 20 mm diameter compression steel for a reinforced concrete section to carry a factored design moment of 120 kN-m.
d) Determine the number of pieces of 32 mm diameter tension steel for a reinforced concrete section to carry a factored design moment of 220 kN-m. e) Determine the number of pieces of 20 mm diameter compression steel for a reinforced concrete section to carry a factored design moment of 220 kN-m.

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