A rectangular beam section is limited to a size of b=250 mm and h=400 mm. Assume that bars in compression will be placed at 60 man from the compression fiber and bars in tension 60 mm from the tension fiber. Given that f'c=21 MPa and fy = 420 MPa   1. Calculate the amount of tension rebars that will have a minimum tensile strain of 0.005 compatible with concrete strain of 0.003   2. If the beam section will be reinforced with tension rebars at a minimum tensile strain of 0.005, calculate the required depth in men of uniform stress block on concrete in compression.   3. With this amount of tension rebars, calculate the design strength of the beam section in kN m.   4. For the beam to sustain a factored moment of 160 kN.m, what will be the required amount of tension steel area in mm² in addition to the tension rebars described in item #1.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A rectangular beam section is limited to a size of b=250 mm and h=400 mm. Assume that bars in compression will be placed at 60 man from the compression fiber and bars in tension 60 mm from the tension fiber. Given that f'c=21 MPa and fy = 420 MPa
 
1. Calculate the amount of tension rebars that will have a minimum tensile strain of 0.005 compatible with concrete strain of 0.003
 
2. If the beam section will be reinforced with tension rebars at a minimum tensile strain of 0.005, calculate the required depth in men of uniform stress block on concrete in compression.
 
3. With this amount of tension rebars, calculate the design strength of the beam section in kN m.
 
4. For the beam to sustain a factored moment of 160 kN.m, what will be the required amount of tension steel area in mm² in addition to the tension rebars described in item #1.
 
5. Considering a doubly reinforced section with tension rebars at a tensile strain of 0.005, calculate the resulting compression stress in MPa on rebars to be used in the compression zone. 
 
6. Calculate the required amount of compression bars to sustain the required 160 kN.m factored moment
 
 
 
 
 
 
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