A 4m reinforced concrete cantilever beam has a width of 300 mm and a total depth of 560mm with an effective depth of 490 mm. It is reinforced with 5- 28 mm tension bars. Use fc= 30 MPa and Fy 415 MPa. In addition to live load and its own weight, the beam carries a 150-mm thick concrete slab (casted monolithically with the beam) with a tributary width of 4m The unit weight of concrete is 24 kN/m^3. Use 2010 NSCP. a) Detemine the net tensile strain in the extreme tension steel. b) Determine the value of neutral axis to the effective depth ratio. c) Detemine the value of strength reduction factor for detemining the design flexural strength a Calculate the desim moment canacity ofthe beam in kN.m

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Practice Problem 2.2
A 4m reinforced concrete cantilever beam has a width of 300 mm and a total depth of 560mm with an
effective depth of 490 mm. It is reinforced with 5- 28 mm tension bars. Use fc= 30 MPa and Fy 415 MPa.
In addition to live load and its own weight, the beam carries a 150-mm thick concrete slab (casted
monolithically with the beam) with a tributary width of 4m The unit weight of concrete is 24 kN/m 3. Use
2010 NSCP.
a) Detemine the net tensile strain in the extreme tension steel.
b) Determine the value of neutral axis to the effective depth ratio.
c) Determine the value of strength reduction factor for detemining the design flexural strength
d) Calculate the design moment capacity of the beam in kN-m
e) Find the maximum uniform service load acting over the entire span that can be supported by the beam
Transcribed Image Text:Practice Problem 2.2 A 4m reinforced concrete cantilever beam has a width of 300 mm and a total depth of 560mm with an effective depth of 490 mm. It is reinforced with 5- 28 mm tension bars. Use fc= 30 MPa and Fy 415 MPa. In addition to live load and its own weight, the beam carries a 150-mm thick concrete slab (casted monolithically with the beam) with a tributary width of 4m The unit weight of concrete is 24 kN/m 3. Use 2010 NSCP. a) Detemine the net tensile strain in the extreme tension steel. b) Determine the value of neutral axis to the effective depth ratio. c) Determine the value of strength reduction factor for detemining the design flexural strength d) Calculate the design moment capacity of the beam in kN-m e) Find the maximum uniform service load acting over the entire span that can be supported by the beam
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