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Case - 1: DL+CL+LL+CR: Sample Calculation (P10)

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Pedestal Design

Sample calculation (P10)

Case -1: DL+CL+LL+CR

P = 721.56 kN

Mx = 24.30 kN-m

Mz = 134.70 kN-m

fck = 30

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.033333
fck

Column size 1000.00 x 975.00 mm

Pu = 0.037
fckbD
From SP-16-1978

From chart-44

For Fy = 415N/mm2, , Pu/fckbD = 0.037 &p/fck = 0.033333

MuX1 = 0.06
fckbD2

MuX1 = 1711.125 kN-m

MuZ1 = 0.06
fckbD2

Muz1 = 1755 kN-m

Check

M uz M uz
= 0.136 < 1 OK
M uz 1 M uz 1
Case -2: DL+CL+LL+CR+EQ

P = 661.63 kN

Mx = 21.95 kN-m

Mz = 875.00 kN-mm

fck = 30

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.033333
fck

column size 1000.00 x 975.00 mm

Pu = 0.034
fckbD

From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.05 , Pu/fckbD = 0.034 &p/fck = 0.033333

Muz1 = 0.06 kN-mm


fckbD2

MuX1 = 0.06 kN-mm


fckbD2

Muz1 = 1485.432 kN-mm

MuX1 = 1441.845 kN-mm

Check

M ux M uz
+ = 0.725 < 1 OK
M ux 1 M uz 1

Case -3: DL+WR1

P = -1.30 kN

Mx = 0.00 kN-m
Mz = 54.60 kN-mm

fck = 25

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.04
fck

column size 1000.00 x 975.00 mm

Pu = -0.0001
fckbD
From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.05 , Pu/fckbD = -8E-05 &p/fck = 0.04

Muz1 = 0.03 kN-mm


fckbD2

MuX1 = 0.03 kN-mm


fckbD2

Muz1 = 618.93 kN-mm

MuX1 = 600.7688 kN-mm

Check

M ux M uz
+ = 0.106 < 1 OK
M ux 1 M uz 1
Case -4: DL+WLN

P = -18.60 kN

Mx = 40.37 kN-m

Mz = 49.60 kN-mm

fck = 25

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.04
fck

column size 1000.00 x 975.00 mm

Pu = -0.0011
fckbD
From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.05 , Pu/fckbD = -0.00114 &p/fck = 0.04

Muz1 = 0.03 kN-mm


fckbD2

MuX1 = 0.03 kN-mm


2
fckbD

Muz1 = 618.93 kN-mm

MuX1 = 600.7688 kN-mm

Check

M ux M uz
+ = 0.177 < 1 OK
M ux 1 M uz 1

Ast required = 1000.00 x 975.00 x 1.00


100

= 9750 mm2

Provide 14 25 10 25
Ast provide = 11775
Pedestal Design

Sample calculation (P2)

Case -1: DL+CL+LL+CR

P = 721.56 kN

Mx = 24.30 kN-m

Mz = 134.70 kN-m

fck = 30

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.033333
fck

Column size 975.00 x 950.00 mm

Pu = 0.039
fckbD
From SP-16-1978

From chart-44

For Fy = 415N/mm2, , Pu/fckbD = 0.039 &p/fck = 0.033333

MuX1 = 0.06
fckbD2

MuX1 = 1583.888 kN-m

MuZ1 = 0.06
fckbD2

Muz1 = 1625.569 kN-m

Check

M uz M uz
= 0.147 < 1 OK
M uz 1 M uz 1
Case -2: DL+CL+LL+CR+EQ

P = 661.63 kN

Mx = 21.95 kN-m

Mz = 875.00 kN-mm

fck = 30

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.033333
fck

column size 975.00 x 950.00 mm

Pu = 0.036
fckbD

From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.051 , Pu/fckbD = 0.036 &p/fck = 0.033333

Muz1 = 0.06 kN-mm


fckbD2

MuX1 = 0.06 kN-mm


fckbD2

Muz1 = 1369.753 kN-mm

MuX1 = 1328.36 kN-mm

Check

M ux M uz
+ = 0.786 < 1 OK
M ux 1 M uz 1

Case -3: DL+WR1

P = -1.30 kN

Mx = 0.00 kN-m
Mz = 54.60 kN-mm

fck = 25

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.04
fck

column size 975.00 x 950.00 mm

Pu = -0.0001
fckbD
From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.051 , Pu/fckbD = -8E-05 &p/fck = 0.04

Muz1 = 0.03 kN-mm


fckbD2

MuX1 = 0.03 kN-mm


fckbD2

Muz1 = 570.7303 kN-mm

MuX1 = 553.4831 kN-mm

Check

M ux M uz
+ = 0.115 < 1 OK
M ux 1 M uz 1
Case -4: DL+WLN

P = -18.60 kN

Mx = 40.37 kN-m

Mz = 49.60 kN-mm

fck = 25

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.04
fck

column size 975.00 x 950.00 mm

Pu = -0.0012
fckbD
From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.051 , Pu/fckbD = -0.0012 &p/fck = 0.04

Muz1 = 0.03 kN-mm


fckbD2

MuX1 = 0.03 kN-mm


2
fckbD

Muz1 = 570.7303 kN-mm

MuX1 = 553.4831 kN-mm

Check

M ux M uz
+ = 0.192 < 1 OK
M ux 1 M uz 1

Ast required = 975.00 x 950.00 x 1.00


100

= 9262.5 mm2

Provide 14 25 10 25
Ast provide = 11775
Pedestal Design

Sample calculation (P2)

Case -1: DL+CL+LL+CR

P = 721.56 kN

Mx = 24.30 kN-m

Mz = 134.70 kN-m

fck = 30

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.033333
fck

Column size 975.00 x 950.00 mm

Pu = 0.039
fckbD
From SP-16-1978

From chart-44

For Fy = 415N/mm2, , Pu/fckbD = 0.039 &p/fck = 0.033333

MuX1 = 0.06
fckbD2

MuX1 = 1583.888 kN-m

MuZ1 = 0.06
fckbD2

Muz1 = 1625.569 kN-m

Check

M uz M uz
= 0.147 < 1 OK
M uz 1 M uz 1
Case -2: DL+CL+LL+CR+EQ

P = 661.63 kN

Mx = 21.95 kN-m

Mz = 875.00 kN-mm

fck = 30

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.033333
fck

column size 975.00 x 950.00 mm

Pu = 0.036
fckbD

From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.051 , Pu/fckbD = 0.036 &p/fck = 0.033333

Muz1 = 0.06 kN-mm


fckbD2

MuX1 = 0.06 kN-mm


fckbD2

Muz1 = 1369.753 kN-mm

MuX1 = 1328.36 kN-mm

Check

M ux M uz
+ = 0.786 < 1 OK
M ux 1 M uz 1

Case -3: DL+WR1

P = -1.30 kN

Mx = 0.00 kN-m
Mz = 54.60 kN-mm

fck = 25

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.04
fck

column size 975.00 x 950.00 mm

Pu = -0.0001
fckbD
From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.051 , Pu/fckbD = -8E-05 &p/fck = 0.04

Muz1 = 0.03 kN-mm


fckbD2

MuX1 = 0.03 kN-mm


fckbD2

Muz1 = 570.7303 kN-mm

MuX1 = 553.4831 kN-mm

Check

M ux M uz
+ = 0.115 < 1 OK
M ux 1 M uz 1
Case -4: DL+WLN

P = -18.60 kN

Mx = 40.37 kN-m

Mz = 49.60 kN-mm

fck = 25

clear cover = 50

Ratio of % of steel to characteristic strength of concrete


For 1 % of steel
p = 0.04
fck

column size 975.00 x 950.00 mm

Pu = -0.0012
fckbD
From SP-16-1978

For Fy = 415N/mm2, d’/D = 0.051 , Pu/fckbD = -0.0012 &p/fck = 0.04

Muz1 = 0.03 kN-mm


fckbD2

MuX1 = 0.03 kN-mm


2
fckbD

Muz1 = 570.7303 kN-mm

MuX1 = 553.4831 kN-mm

Check

M ux M uz
+ = 0.192 < 1 OK
M ux 1 M uz 1

Ast required = 975.00 x 950.00 x 1.00


100

= 9262.5 mm2

Provide 14 25 10 25
Ast provide = 11775

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