A typical cross-section of a reinforced concrete beam is shown in the figure that follows. The concrete and steel material properties are given below. Use an effective depth of 650 mm. a) Determine the depth of the compression zone (a), the neutral axis depth (c), and the strain distribution at the ultimate condition. Draw the beam cross-section showing the a, c, and the strain values at the critical locations b) Is beam properly reinforced/over-reinforced/balanced? What are the implications of the amount of reinforcement with regard to the mode of failure in the beam? c) Calculate the factored moment resistance for the beam section 700 mm 650 mm 400mm Given: E = 0.65 $, = 0.85 E,= 200 000 MPa f = 30MPa f = 400MPa 3-25M

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A typical cross-section of a reinforced concrete beam is shown in the figure that follows. The concrete
and steel material properties are given below. Use an effective depth of 650 mm.
a) Determine the depth of the compression zone (a), the neutral axis depth (c), and the strain
distribution at the ultimate condition. Draw the beam cross-section showing the a, c, and the
strain values at the critical locations
b) Is beam properly reinforced/over-reinforced/balanced? What are the implications of the
amount of reinforcement with regard to the mode of failure in the beam?
c) Calculate the factored moment resistance for the beam section
700 mm
650 mm
Given:
E
= 0.65
f = 30MPa
f = 400MPa
400mm
$, = 0.85
E,= 200 000 MPa
3-25M
Transcribed Image Text:A typical cross-section of a reinforced concrete beam is shown in the figure that follows. The concrete and steel material properties are given below. Use an effective depth of 650 mm. a) Determine the depth of the compression zone (a), the neutral axis depth (c), and the strain distribution at the ultimate condition. Draw the beam cross-section showing the a, c, and the strain values at the critical locations b) Is beam properly reinforced/over-reinforced/balanced? What are the implications of the amount of reinforcement with regard to the mode of failure in the beam? c) Calculate the factored moment resistance for the beam section 700 mm 650 mm Given: E = 0.65 f = 30MPa f = 400MPa 400mm $, = 0.85 E,= 200 000 MPa 3-25M
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