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Table 4 Diam

The document contains tables and formulas for calculating the minimum required dimensions and reinforcement for concrete beams. Table 1 lists the diameter and area of common reinforcing bar sizes. Table 2 provides the minimum required beam width for different numbers and sizes of bars in a single layer. The formulas calculate the minimum and maximum steel reinforcement for T-beams under positive bending based on factors like the concrete compressive strength, beam dimensions, and yield strength of the steel.

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moh abobajee
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45 views2 pages

Table 4 Diam

The document contains tables and formulas for calculating the minimum required dimensions and reinforcement for concrete beams. Table 1 lists the diameter and area of common reinforcing bar sizes. Table 2 provides the minimum required beam width for different numbers and sizes of bars in a single layer. The formulas calculate the minimum and maximum steel reinforcement for T-beams under positive bending based on factors like the concrete compressive strength, beam dimensions, and yield strength of the steel.

Uploaded by

moh abobajee
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Dr. Mohammed E. Haque, P.E.

Bar Dia (inch) = Bar No. / 8

Table-1: Diameter and Area of Reinforcing Bars


Bar No. Bar Dia. (in) Area (Sq.in)
#3 3/8 0.11
#4 1/2 0.20
#5 5/8 0.31
#6 3/4 0.44
#7 7/8 0.60
#8 1 0.79
#9 9/8 1.00
#10 10/8 1.27
#11 11/8 1.56

Table 2: Minimum Required Beam width (b) inches.


No. of bars Bar Numbers
in single layer #3 & #4 #5 #6 #7 #8 #9 #10 #11
2 6.00 6.00 6.50 6.50 7.00 7.50 8.00 8.00
3 7.50 8.00 8.00 8.50 9.00 9.50 10.50 11.00
4 9.00 9.50 10.00 10.50 11.00 12.00 13.00 14.00
5 10.50 11.00 11.50 12.50 13.00 14.00 15.50 16.50
6 12.00 12.50 13.50 14.00 15.00 16.50 18.00 19.00
7 13.50 14.50 15.00 16.00 17.00 18.50 20.50 22.50
8 15.00 16.00 17.00 18.00 19.00 21.00 23.00 25.00
9 16.50 17.50 18.50 20.00 21.00 23.00 25.50 28.00
10 18.00 19.00 20.50 21.50 23.00 25.50 28.00 31.00
Note: Tabulated minimum beam width (b) based on #3 stirrups, bar to bar clear gap of 1", and clear cover of 1.5"

Table_Haque_Reinf_Concrete Page 1 of 14
Dr. Mohammed E. Haque, P.E.

Formula: T- Beam (For positive moment; flange is in compression)

3 fc ’ bw d
fc’, fy are in psi
fy
bw, d, hf are in inch
As min = larger of
200 bw d
fy

0.638
β1 87000 (d)
As max = fc’ hf b + bw 1
fy hf 87000 + fy

β 1 = 0.85 for fc’ ≤ 4000 psi; is reduced continuously at the rate of 0.05 for each
1000 psi of strength in excess of 4000 psi; β 1 can not be less than 0.65

Table_Haque_Reinf_Concrete Page 4 of 14

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