CHAPTER FIVE: DESIGN OF BEAM SECTIONS
5.1 CALCULATIONS
Table 5.1.2 X-axis 1F #2 beam:
X-axis 1F #2 beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.502 4 0.2 3 Left 0.299 4 0.2 2
Middle 0.159 4 0.2 2 Middle 0.407 4 0.2 3
Right 0.536 4 0.2 3 Right 0.3 4 0.2 2
Table 5.1.3 X-axis 2F #2 beam:
X-axis 2F #2 beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.453 4 0.2 3 Left 0.253 4 0.2 2
Middle 0.13 4 0.2 2 Middle 0.407 4 0.2 3
Right 0.506 4 0.2 3 Right 0.243 4 0.2 2
Table 5.1.4 X-axis 3F #2 beam:
X-axis 3F #2 beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.407 4 0.2 3 Left 0.257 4 0.2 2
Middle 0.12 4 0.2 2 Middle 0.407 4 0.2 3
Right 0.466 4 0.2 3 Right 0.23 4 0.2 2
Table 5.1.5 X-axis 4F #2 beam:
X-axis 4F #2 beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.407 4 0.2 3 Left 0.257 4 0.2 2
Middle 0.111 4 0.2 2 Middle 0.407 4 0.2 3
Right 0.429 4 0.2 3 Right 0.218 4 0.2 2
Table 5.1.6 X-axis ROOF #2 beam:
X-axis ROOF #2 beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.407 4 0.2 3 Left 0.262 4 0.2 2
Middle 0.091 4 0.2 2 Middle 0.407 4 0.2 3
Right 0.407 4 0.2 3 Right 0.262 4 0.2 2
Stirrups design:
(Note: value of shear reinforcement was very low so minimum shear reinforcement was provided) We use #3 bars as stirrups. According to SMRF:
Spacing of stirrups for first and last L/3 is d/4= (13.8-3.48)/4= 2.5in c/c For middle part spacing of stirrups are d/2= 5in c/c
CALCULATION FOR Y-AXIS OF 6 STORIED STRUCTURE:
Table 5.1.7 Y-axis GF #C beam:
Y-axis GF #C beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.891 5 0.31 3 Left 0.845 5 0.31 3
Middle 0.272 5 0.31 2 Middle 0.329 5 0.31 3
Right 0.825 5 0.31 3 Right 0.808 5 0.31 3
Table 5.1.8 Y-axis 1F #C beam:
Y-axis 1F #C beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.907 5 0.31 3 Left 0.908 5 0.31 3
Middle 0.31 5 0.31 2 Middle 0.329 5 0.31 3
Right 0.927 5 0.31 3 Right 0.907 5 0.31 3
Table 5.1.9 Y-axis 2F #C beam:
Y-axis 2F #C beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.774 5 0.31 3 Left 0.783 5 0.31 3
Middle 0.266 5 0.31 2 Middle 0.329 5 0.31 3
Right 0.801 5 0.31 3 Right 0.781 5 0.31 3
Table 5.1.10 Y-axis 3F #C beam:
Y-axis 3F #C beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.573 5 0.31 2 Left 0.586 5 0.31 2
Middle 0.195 5 0.31 2 Middle 0.292 5 0.31 2
Right 0.602 5 0.31 2 Right 0.582 5 0.31 2
Table 5.1.11 Y-axis 4F #C beam:
Y-axis 4F #C beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.359 4 0.2 2 Left 0.374 4 0.2 2
Middle 0.116 4 0.2 2 Middle 0.211 4 0.2 2
Right 0.387 4 0.2 2 Right 0.365 4 0.2 2
Table 5.1.12 Y-axis ROOF #C beam:
Y-axis ROOF #C beam Maximum
reinforcement needed
Bar selected to be used
Number of Bar provided
Maximum reinforcement
needed
Bar selected to be used
Number of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.232 4 0.2 2 Left 0.277 4 0.2 2
Middle 0.054 4 0.2 2 Middle 0.169 4 0.2 2
Right 0.276 4 0.2 2 Right 0.275 4 0.2 2
Stirrups design:
(Note: value of shear reinforcement was very low so minimum shear reinforcement was provided) We use #3 bars as stirrups. According to SMRF:
Spacing of stirrups for first and last L/3 is d/4= (11.81-3.48)/4= 2in c/c For middle part spacing of stirrups are d/2= 4in c/c
CALCULATION FOR X-AXIS OF 8 STORIED STRUCTURE:
Table 5.1.13 X-axis GF #2 beam:
X-axis GF-2.0 #2 beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.713 5 0.31 3 Left 0.456 5 0.31 2
Middle 0.227 5 0.31 2 Middle 0.425 5 0.31 2
Right 0.742 5 0.31 3 Right 0.379 5 0.31 2
Table 5.1.14 X-axis 1F #2 beam:
X-axis 1F-2.0 #2 beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.683 5 0.31 3 Left 0.43 5 0.31 2
Middle 0.242 5 0.31 2 Middle 0.414 5 0.31 2
Right 0.749 5 0.31 3 Right 0.401 5 0.31 2
Table 5.1.15 X-axis 2F #2 beam:
X-axis 2F-2.0 #2 beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.629 5 0.31 3 Left 0.342 4 0.2 2
Middle 0.214 5 0.31 2 Middle 0.414 4 0.2 3
Right 0.749 5 0.31 3 Right 0.351 4 0.2 2
Table 5.1.16 X-axis 3F #2 beam:
X-axis 3F-2.0 #2 beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.561 5 0.31 3 Left 0.308 4 0.2 2
Middle 0.176 5 0.31 2 Middle 0.414 4 0.2 3
Right 0.744 5 0.31 3 Right 0.286 4 0.2 2
Table 5.1.17 X-axis 4F #2 beam:
X-axis 4F-2.0 #2 beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.479 5 0.31 3 Left 0.286 4 0.2 2
Middle 0.135 5 0.31 2 Middle 0.414 4 0.2 3
Right 0.686 5 0.31 3 Right 0.225 4 0.2 2
Table 5.1.18 X-axis 5F #2 beam:
X-axis 5F-2.0 #2 beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.406 5 0.31 2 Left 0.284 4 0.2 2
Middle 0.121 5 0.31 2 Middle 0.415 4 0.2 3
Right 0.615 5 0.31 2 Right 0.202 4 0.2 2
Table 5.1.19 X-axis 6F #2 beam:
X-axis 6F-2.0 #2 beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.34 5 0.31 2 Left 0.286 4 0.2 2
Middle 0.118 5 0.31 2 Middle 0.407 4 0.2 3
Right 0.599 5 0.31 2 Right 0.197 4 0.2 2
Table 5.1.20 X-axis ROOF #2 beam:
X-axis ROOF-2.0 #2 beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.264 4 0.2 3 Left 0.287 4 0.2 2
Middle 0.082 4 0.2 2 Middle 0.447 4 0.2 3
Right 0.416 4 0.2 3 Right 0.231 4 0.2 2
Stirrups design:
(Note: value of shear reinforcement was very low so minimum shear reinforcement was provided) We use #3 bars as stirrups. According to SMRF:
Spacing of stirrups for first and last L/3 is d/4= (11.81-3.48)/4= 4in c/c For middle part spacing of stirrups are d/2= 7in c/c
CALCULATION FOR Y-AXIS OF 8 STORIED STRUCTURE:
Table 5.1.21 Y-axis GF #C beam:
Y-axis GF-2.0 #C beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 1.374 5 0.31 5 Left 1.325 6 0.44 4
Middle 0.33 5 0.31 2 Middle 0.384 6 0.44 4
Right 1.273 5 0.31 5 Right 1.261 6 0.44 4
Table 5.1.22 Y-axis 1F #C beam:
Y-axis 1F-2.0 #C beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 1.487 5 0.31 5 Left 1.497 6 0.44 4
Middle 0.393 5 0.31 2 Middle 0.451 6 0.44 4
Right 1.526 5 0.31 5 Right 1.511 6 0.44 4
TABLE 5.1.23 Y-AXIS 2F #C BEAM:
Y-axis 2F-2.0 #C beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 1.383 5 0.31 5 Left 1.402 6 0.44 4
Middle 0.373 5 0.31 2 Middle 0.433 6 0.44 4
Right 1.433 5 0.31 5 Right 1.417 6 0.44 4
TABLE 5.1.24 Y-AXIS 3F #C BEAM:
Y-axis 3F-2.0 #C beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 1.17 5 0.31 4 Left 1.195 5 0.31 4
Middle 0.329 5 0.31 2 Middle 0.383 5 0.31 4
Right 1.221 5 0.31 4 Right 1.205 5 0.31 4
Table 5.1.25 Y-axis 4F #C beam:
Y-axis 4F-2.0 #C beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.908 5 0.31 4 Left 0.936 4 0.31 4
Middle 0.329 5 0.31 2 Middle 0.329 4 0.31 4
Right 0.956 5 0.31 4 Right 0.94 4 0.31 4
TABLE 5.1.26 Y-AXIS 5F #C BEAM:
Y-axis 5F-2.0 #C beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.637 4 0.2 4 Left 0.667 4 0.2 4
Middle 0.237 4 0.2 2 Middle 0.323 4 0.2 4
Right 0.68 4 0.2 4 Right 0.665 4 0.2 4
TABLE 5.1.27 Y-AXIS 6F #C BEAM:
Y-axis 6F-2.0 #C beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative
side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.392 4 0.2 3 Left 0.423 4 0.2 3
Middle 0.142 4 0.2 2 Middle 0.226 4 0.2 3
Right 0.431 4 0.2 3 Right 0.413 4 0.2 3
TABLE 5.1.28 Y-AXIS ROOF #C BEAM:
Y-axis ROOF-2.0 #C beam Maximum
reinforcement needed
Bar selected to be
used Number
of Bar provided
Maximum reinforcement
needed
Bar selected to be
used Number
of Bar provided Negative side(in2) No. Area(in2) Positive side(in2) No. Area(in2)
Left 0.253 4 0.2 2 Left 0.319 4 0.2 2
Middle 0.063 4 0.2 2 Middle 0.179 4 0.2 2
Right 0.309 4 0.2 2 Right 0.317 4 0.2 2
Stirrups design:
(Note: value of shear reinforcement was very low so minimum shear reinforcement was provided) We use #3 bars as stirrups. According to SMRF:
Spacing of stirrups for first and last L/3 is d/4= (11.81-3.48)/4= 3in c/c For middle part spacing of stirrups are d/2= 6in c/c
5.2 FIGURES OF THE BEAM SECTIONS: BEAM FIGURES FOR 6 STORIED