Calculation
Calculation
DEC 2023
                 TABLE OF CONTENTS
1-INTRODUCTION:…………………………………………………………….
2-DESIGN CRITERIA:………………………………………………………….
3-SAP OUTPUT…………………………………………………………………….
4-ASSIGND LOADS……………………………………………………………………..
5-SAP DESIGN………………………………………………………………………..
                                               Calculation note
                                                        .
                                              1-INTRODUCTION
The objective of this report is to provide the detailed calculation to this Aluminium
                                                                                        Calculation note
2-DESIGN CRITERIA
                    Calculation note
                                                   Design criteria
a)    Mechanical & design properties of material
Material 6082/T6
b)    Code reference
      AA2000
d)      Load cases
     i. Dead load (DL)
         •   Alum inium s elf weight c alc ulated autom atic ally bythe analysis software “SAP2000 V23.3.1’’
         •   Covering
         •   wind load (WL)
         •   Wind load 120kg/m2
         •   Live load 0.1Kn/m2
         •   Snow Load 0.2Kn/m2
-Loadcombination-
                  •   1.4DL
                  •   1.2DL+1.6LR
                  •   1.2DL+1.6LR+0.3W
                  •   1.2DL+LR+0.3W
                  •   1.2D+W
                  •   0.9DL+SNOW
                  •   0.9DL+W
                  •   1.2D+SN+0.3W
                                                                                          Calculation note
3-SAP2000 OUTPUT
                   Calculation Note
3D VIEW
3D VIEW
             Calculation Note
 NODE LABELLING
FRAMES LABELLING
                   Calculation Note
MEMBER RELEASES
                  Calculation Note
ASSIGNED PROFILES
                    Calculation Note
4-ASSIGNED LOADS
                   Calculation Note
      DEAD LOAD
SNOW LOAD=0.2KN/M2
                     Calculation Note
  Live load=0.1KN/m2
WIND LOAD
                       Calculation Note
5-SAP 2000 DESIGN OUTPUT
                           Calculation Note
SHEAR FORCE
              Calculation Note
AXIAL FORCE
              Calculation Note
MOMENT
         Calculation Note
                           DESIGN RATIO
The capacity utilization ratios of all members are less than 1.0, Hence
the structure is safe.
                                                            Calculation Note
DESIGN AS PER AA LRFD
                        Calculation Note
DESIGN OF COLUMN SECTION
      450X126X13
                           Calculation Note
AA-LRFD 2000 ALUMINUM SECTION CHECK      Units: KN, m, C
Resistance Factors:
Phiy=0.950   Phib=0.850   Phic=0.850     Phiu=0.850
Phicc=0.913 Phicp=0.800   PHIV=0.800     Phivp=0.900
kt=1.000
L=5.060
A=0.014 i22=3.968E-05 i33=3.216E-04
s22=6.299E-04 s33=0.001 r22=0.053 r33=0.150
Buckling Constants
Bc =176249.096 Dc =884.385 Cc =81.709 Bp =200032.753 Dp =1069.308 Cp =76.698
Bt =194492.202 Dt =6076.093 Ct =N/C    Bbr=292755.056 Dbr=2318.746 Cbr=84.171
Btb=291738.303 Dtb=17388.475 Ctb=73.899 Bs =115967.595 Ds =472.015 Cs =100.731
K1c=0.350 K2c=2.270 K1b=0.500 K2b=2.040
                          fb            Fb          Fe            Cm            K            L
                      Stress     Allowable   Allowable        Factor       Factor       Factor
    Major Bending 123169.464    152000.000 861053.988          1.000        1.000        0.802
    Minor Bending     52.755    152000.000 1751221.609         1.000        1.000        0.198
                          Cb             C1           C2
    Coefficient        1.000          1.000        1.000
SHEAR DESIGN
                          fv            FV        Stress
                      Stress     Allowable         Ratio
    Major Shear     6258.938     87757.241         0.071
    Minor Shear        7.020     87757.241     7.999E-05
                                                                                          Calculation Note
DESIGN OF ROOF BEAM
      450X126X13
                      Calculation Note
AA-LRFD 2000 ALUMINUM SECTION CHECK      Units: KN, m, C
L=20.263
A=0.014 i22=3.968E-05 i33=3.216E-04
s22=6.299E-04 s33=0.001 r22=0.053 r33=0.150
                            fb           Fb           Fe          Cm            K            L
                        Stress    Allowable    Allowable      Factor       Factor       Factor
    Major Bending    41235.856   152000.000    32841.475       0.850        1.000        1.000
    Minor Bending      482.322   152000.000   249571.000       0.850        1.000        0.127
                            Cb          C1           C2
    Coefficient          1.000       1.000        1.000
SHEAR DESIGN
                            fv           FV      Stress
                        Stress    Allowable       Ratio
    Major Shear       1467.242    87757.241       0.017
    Minor Shear         53.964    87757.241       0.001
                                                                                      Calculation Note
 DESIGN OF BEAM
HUNCH 450X126X13
                   Calculation Note
AA-LRFD 2000 ALUMINUM SECTION CHECK      Units: KN, m, C
Buckling Constants
Bc =176249.096 Dc =884.385 Cc =81.709 Bp =200032.753 Dp =1069.308 Cp =76.698
Bt =194492.202 Dt =6076.093 Ct =N/C    Bbr=292755.056 Dbr=2318.746 Cbr=84.171
Btb=291738.303 Dtb=17388.475 Ctb=73.899 Bs =115967.595 Ds =472.015 Cs =100.731
K1c=0.350 K2c=2.270 K1b=0.500 K2b=2.040
                            fb           Fb           Fe          Cm            K              L
                        Stress    Allowable    Allowable      Factor       Factor         Factor
    Major Bending    18365.058   152000.000   429378.526       0.850        1.000          1.000
    Minor Bending        4.629   152000.000    52978.417       0.850        1.000          1.000
                            Cb           C1           C2
    Coefficient          1.000        0.410        0.470
SHEAR DESIGN
                            fv          FV        Stress
                        Stress   Allowable         Ratio
    Major Shear        168.961   87757.241         0.002
    Minor Shear          0.894   87757.241     1.019E-05
                                                                                                      Calculation Note
Calculation Note
DESIGN OF GABLE
    SECTION
   204X120X4
                  Calculation Note
AA-LRFD 2000 ALUMINUM SECTION CHECK       Units: KN, m, C
Resistance Factors:
Phiy=0.950   Phib=0.850     Phic=0.850     Phiu=0.850
Phicc=0.843 Phicp=0.800     PHIV=0.800     Phivp=0.900
kt=1.000
L=6.227
A=0.003 i22=6.429E-06 i33=1.462E-05
s22=1.071E-04 s33=1.433E-04 r22=0.050          r33=0.076
Buckling Constants
Bc =176249.096 Dc =884.385 Cc =81.709 Bp =200032.753 Dp =1069.308 Cp =76.698
Bt =194492.202 Dt =6076.093 Ct =N/C    Bbr=292755.056 Dbr=2318.746 Cbr=84.171
Btb=291738.303 Dtb=17388.475 Ctb=73.899 Bs =115967.595 Ds =472.015 Cs =100.731
K1c=0.350 K2c=2.270 K1b=0.500 K2b=2.040
                            fb            Fb          Fe            Cm             K             L
                        Stress     Allowable   Allowable        Factor        Factor        Factor
    Major Bending    28193.712    152000.000 2235837.672         0.850         1.000         0.197
    Minor Bending       17.545    152000.000   38195.082         0.850         1.000         1.000
                             Cb          C1            C2
    Coefficient           1.000       0.410         0.470
SHEAR DESIGN
                            fv            FV        Stress
                        Stress     Allowable         Ratio
    Major Shear       1894.468     87757.241         0.022
    Minor Shear          1.595     87757.241     1.818E-05
                                                                                                      Calculation Note
DESIGN OF PURLIN
SECTION 80X80X3
                   Calculation Note
AA-LRFD 2000 ALUMINUM SECTION CHECK       Units: KN, m, C
Resistance Factors:
Phiy=0.950   Phib=0.850     Phic=0.850    Phiu=0.850
Phicc=0.873 Phicp=0.800     PHIV=0.800    Phivp=0.900
kt=1.000
L=5.000
A=9.240E-04 i22=0.000 i33=0.000
s22=2.286E-05 s33=2.286E-05 r22=0.031          r33=0.031
Buckling Constants
Bc =176249.096 Dc =884.385 Cc =81.709 Bp =200032.753 Dp =1069.308 Cp =76.698
Bt =194492.202 Dt =6076.093 Ct =N/C    Bbr=292755.056 Dbr=2318.746 Cbr=84.171
Btb=291738.303 Dtb=17388.475 Ctb=73.899 Bs =115967.595 Ds =472.015 Cs =100.731
K1c=0.350 K2c=2.270 K1b=0.500 K2b=2.040
                            fb            Fb           Fe          Cm              K               L
                        Stress     Allowable    Allowable      Factor         Factor          Factor
    Major Bending     4028.026    152000.000   382022.860       0.850          1.000           0.250
    Minor Bending        0.000    152000.000   382022.860       0.850          1.000           0.250
                            Cb            C1           C2
    Coefficient          1.000         1.000        1.000
SHEAR DESIGN
                             fv           FV       Stress
                         Stress    Allowable        Ratio
    Major Shear           0.000    87757.241        0.000
    Minor Shear           0.000    87757.241        0.000
                                                                                                         Calculation Note
DESIGN OF EAVE
PURLIN SECTION
  140X100X3
                 Calculation Note
AA-LRFD 2000 ALUMINUM SECTION CHECK       Units: KN, m, C
Resistance Factors:
Phiy=0.950   Phib=0.850     Phic=0.850     Phiu=0.850
Phicc=0.838 Phicp=0.800     PHIV=0.800     Phivp=0.900
kt=1.000
L=5.000
A=0.001 i22=2.392E-06 i33=4.019E-06
s22=4.784E-05 s33=5.741E-05 r22=0.041          r33=0.054
Buckling Constants
Bc =176249.096 Dc =884.385 Cc =81.709 Bp =200032.753 Dp =1069.308 Cp =76.698
Bt =194492.202 Dt =6076.093 Ct =N/C    Bbr=292755.056 Dbr=2318.746 Cbr=84.171
Btb=291738.303 Dtb=17388.475 Ctb=73.899 Bs =115967.595 Ds =472.015 Cs =100.731
K1c=0.350 K2c=2.270 K1b=0.500 K2b=2.040
                            fb            Fb            Fe          Cm             K             L
                        Stress     Allowable     Allowable      Factor        Factor        Factor
    Major Bending     2843.356    152000.000     66295.767       1.000         1.000         1.000
    Minor Bending        0.000    152000.000     39455.798       1.000         1.000         1.000
                            Cb            C1           C2
    Coefficient          1.000         0.410        0.470
SHEAR DESIGN
                             fv           FV       Stress
                         Stress    Allowable        Ratio
    Major Shear           0.000    87757.241        0.000
    Minor Shear           0.000    87757.241        0.000
                                                                                                      Calculation Note
   DESIGN OF
BRACING SECTION
   120X120X4
                  Calculation Note
AA-LRFD 2000 ALUMINUM SECTION CHECK       Units: KN, m, C
Resistance Factors:
Phiy=0.950   Phib=0.850   Phic=0.850 Phiu=0.850
Phicc=0.903 Phicp=0.800 PHIV=0.800   Phivp=0.900
kt=1.000
L=7.188
A=0.002 i22=4.167E-06 i33=4.167E-06
s22=6.946E-05 s33=6.946E-05 r22=0.047 r33=0.047
Designation: 6063-T6 Wrought Alloy
E=70000000.0 Fcy=160000.000 Fty=160000.000 Fsy=92376.043          Fy=160000.000   Ftu=175000.000   Fsu=145000.000
Buckling Constants
Bc =176249.096 Dc =884.385 Cc =81.709 Bp =200032.753 Dp =1069.308 Cp =76.698
Bt =194492.202 Dt =6076.093 Ct =N/C    Bbr=292755.056 Dbr=2318.746 Cbr=84.171
Btb=291738.303 Dtb=17388.475 Ctb=73.899 Bs =115967.595 Ds =472.015 Cs =100.731
K1c=0.350 K2c=2.270 K1b=0.500 K2b=2.040
                            fb            Fb          Fe          Cm            K             L
                        Stress     Allowable   Allowable      Factor       Factor        Factor
    Major Bending     4113.841    152000.000   27117.352       0.850        1.000         1.000
    Minor Bending        0.000    152000.000   27117.352       0.850        1.000         1.000
                            Cb            C1          C2
    Coefficient          1.000         0.410       0.470
SHEAR DESIGN
                             fv           FV      Stress
                         Stress    Allowable       Ratio
    Major Shear           0.000    87757.241       0.000
    Minor Shear           0.000    87757.241       0.000
                                                                                                   Calculation Note
                                Design connections
                                                                                Calculation Note
Calculation Note
Cross-sections
           Name                 Material
2 - AL450x126(RHS450x126)       A6063
Anchors
                    N         Vy       Vz      Mx      My      Mz
Name Member
                   [kN]      [kN]     [kN]   [kNm]   [kNm]   [kNm]
LE1      COL      -300.0     12.0    12.0    0.0     70.0    8.0
LE2      COL      300.0      -12.0   -12.0   0.0     70.0    8.0
Foundation block
                                                                     Calculation Note
Anchor                   30 A325M
Anchoring length         500              mm
Shear force transfer     Anchors
Check
Summary
Plates
Design data
                              fy    εlim
         Material
                            [MPa]   [%]
A6063                       160.0   5.0
Symbol explanation
                                                                                 Calculation Note
Overall check, LE2
                     Calculation Note
 Equivalent stress, LE2
Anchors
Design data
                                                                               Calculation Note
                             [kN]     [kN]
30 A325M - 1                325.9    181.6
Symbol explanation
 Nf       Tension force
 V        Resultant of shear forces Vy, Vz in bolt
 Utt      Utilization in tension
 Uts      Utilization in shear
 Utts     Utilization in tension and shear
 ϕNsa     Steel strength of anchor in tension - ACI 318-14 – 17.4.1
 ϕVsa     Steel strength of anchor in shear - ACI 318-14 – 17.5.1
Weld sections
                          Th         Ls      L        Lc              Fn     ϕRn    Ut
Item     Edge      Xu                                        Loads                         Status
                          [mm]       [mm]    [mm]     [mm]            [kN]   [kN]   [%]
BP1      COL      E70xx   ◢5.7◣      ◢8.0◣   1083     4      LE2      5.4    7.0    76.9   OK
                  E70xx   ◢5.7◣      ◢8.0◣   1085     4      LE2      5.6    7.1    79.5   OK
Symbol explanation
Concrete block
                   A1       A2          σ       Ut
 Item     Loads                                        Status
                   [mm2]     [mm2]      [MPa]   [%]
CB 1      LE1      293159   5819485     1.3     4.4    OK
Symbol explanation
 A1     Loaded area
 A2     Supporting area
 σ      Average stress in concrete
 Ut     Utilization
Buckling
                                                                                            Calculation Note
Code settings
                 Item                    Value     Unit               Reference
Friction coefficient - concrete   0.40             -    ACI 349 – B.6.1.4
Friction coefficient in slip-
                                  0.30             -    AISC 360-16 J3.8
resistance
Limit plastic strain              0.05             -
                                  Plastic
Weld stress evaluation
                                  redistribution
Detailing                         No
Distance between bolts [d]        2.66             -    AISC 360-16 – J3.3
Distance between bolts and edge
                                  1.25             -    AISC 360-16 – J.3.4
[d]
Concrete breakout resistance
                                  None
check
Base metal capacity check at
                                  No                    AISC 360-16: J2-2
weld fusion face
Cracked concrete                  Yes                   ACI 318-14 – Chapter 17
Local deformation check           No
Local deformation limit           0.03             -    CIDECT DG 1, 3 - 1.1
                                                        Analysis with large deformations for
Geometrical nonlinearity (GMNA)   Yes
                                                        hollow section joints
Calculation Note