1: calculation point elevation:100m;
2. Beam span: b =1100 mm;
3. Height of frame on beam:1380mm; ; Height of frame under beam:1380mm; ;
4. The calculated spacing of beams (refers to the average height of upper and lower frames of beams): h =1380mm;
5. Mechanical model: simply supported beam under triangular load;
6. Plate configuration: stone;
7. Beam material: Q235；;
Because B≤H, the curtain wall beam here is designed and calculated according to the mechanical model of simply supported beam with triangular load, and the stress model is as follows:
1. Material selection calculation of beam profile;
(1) Linear load concentration of beam under wind load (triangular distribution);
Qwk: the maximum load concentration standard value of linear distribution of wind load (n/mm);
Wk: standard value of wind load (MPa);
B: beam span (mm);
qwk=wkB
=0.00 1468× 1 100
= 1.6 15N/ mm
Qw: maximum load concentration design value of linear distribution of wind load (n/mm);
qw= 1.4qwk
= 1.4× 1.6 15
= 2.26 1N/ mm
(2) Linear load concentration (triangular distribution) of horizontal earthquake action perpendicular to the plane of curtain wall:
QEAk: distributed horizontal earthquake action perpendicular to the plane of curtain wall (MPa);
βE: dynamic amplification factor, 5.0;
αmax: the maximum horizontal earthquake influence coefficient, which is 0.16;
Gk: standard value of gravity load of curtain wall members (n), (mainly refers to panel members);
A: plane area of curtain wall (mm2);
qEAk =βeαmaxGk/A……5 . 3 . 4[jgj 102-2003]
=5.0×0. 16×0.00 1
= 0.0008 MPa
QEk: standard value of horizontal seismic load concentration of beam (n/mm);
B: beam span (mm);
qEk=qEAkB
=0.0008× 1 100
= 0.88 N/mm
QE: concentrated design value of horizontal seismic line load of beam (n/mm);
qE= 1.3qEk
= 1.3×0.88
= 1. 144 N/mm
(3) concentrated load combination of curtain wall beam:
When used for strength calculation, Sw+0.5SE is used to design the value combination: ... [JGJ 102-2003].
q=qw+0.5qE
=2.26 1+0.5× 1. 144
= 2.833 Newton/mm
When used for deflection calculation, Sw standard value is adopted: ... [JJ102-2003].
qk=qwk
= 1.6 15N/ mm
(4) The bending moment value of the beam under the combined action of wind load and earthquake (triangular distribution):
My: combined design value of beam bending moment under wind load and earthquake (n mm);
Mw: bending moment generated by beam under wind load (n mm);
ME: bending moment of beam under earthquake (n mm);
B: beam span (mm);
Mw=qwB2/ 12
ME=qEB2/ 12
Adopt Sw+0.5SE combination:
My=Mw+0.5ME
=qB2/ 12
=2.833× 1 1002/ 12
= 285660.833 N-mm
(5) Bending moment value of beam under dead load (distributed by rectangle):
Gk: the standard value of linear load of beam self-weight (n/mm);
H: calculated spacing of beams (mm);
Gk=0.00 1×H
=0.00 1× 1380
= 1.38 Newton/mm
G: design value of linear load of self-weight of beam (n/mm);
G= 1.2Gk
= 1.2× 1.38
= 1.656 Newton/mm
Mx: design value of bending moment of beam under dead load (n mm);
B: beam span (mm);
Mx=GB2/8
= 1.656× 1 1002/8
= 250470 N-mm
2. Determine the section parameters of the material:
(1) Pre-selection of beam resistance moment:
Wnx: the net sectional resistance moment preselected value of the beam around the X axis (mm3);
Wny: the net sectional resistance moment preselected value of the beam around the y axis (mm3);
Mx: design value of bending moment of beam under dead load (n mm);
My: the combined design value of wind load and earthquake action bending moment (n mm);
γ: plastic development coefficient:1.05;
Fs: design value of bending strength of profile (MPa), and Q235 is 215;
Calculated according to the following formula:
Wnx=Mx/γfs
=250470/ 1.05/2 15
= 1 109.502mm3
Wny=My/γfs
=285660.833/ 1.05/2 15
=1265.386m3.
(2) beam inertia moment preselection:
Df, lim: the deflection limit of the beam according to the specification requirements (mm);
B: beam span (mm);
B/250 =1100/250 = 4.4 mm.
Take away:
Df, lim = 4.4 mm.
Qk: standard value of linear load concentration of wind load (n/mm);
E: elastic modulus (MPa) of the profile, which is 206000MPa for Q235.
Iymin: the minimum moment of inertia around the Y axis (mm4);
B: beam span (mm);
Df, lim = qkb4/ 120eymin ... (deflection calculation under wind load and earthquake)
Iymin=qkB4/ 120Edf，lim
= 1.6 15× 1 1004/ 120/206000/4.4
=2 1739. 128mm4
Ixmin: the minimum moment of inertia around the X axis (mm4);
Gk: the standard value of linear load of beam self-weight (n/mm);
Df, lim = 5 gkb4/384 eixmin ... (deflection calculation under self-weight)
Ixmin=5GkB4/384Edf，lim
=5× 1.38× 1 1004/384/206000/4.4
= 29024.765mm 4
3. Select the cross-sectional features of the beam profile:
Select the configuration file according to the above pre-selection results:
Profile number selection: 40/60 series
Design value of bending strength of profile: 2 15MPa.
Design value of shear strength of profile: 125MPa.
Elastic modulus of profile: E=206000MPa.
Moment of inertia around X axis: IX =115810mm4.
Moment of inertia around y axis: Iy= 123650mm4.
Net sectional resistance moment around X axis: Wnx 1=4 100mm3.
The net sectional resistance moment around the x axis: Wnx2=3662mm3.
The net sectional resistance moment around the y axis is:: Wny 1=5763mm3.
The net sectional resistance moment around the y axis is:: Wny2=6639mm3.
Net sectional area of profile: An=449.3mm2
Linear density of profile: γ g = 0.03527 n/mm.
When the beam is connected to the column, the beam wall thickness at the joint between the corner piece and the beam: t = 3 mm.
Total width of cross section of beam perpendicular to X-axis web: tx = 5 mm.
Total width of beam section perpendicular to Y-axis web: ty=3mm.
The area moment of the stress plane of the section on the neutral axis (around the X axis): Sx=2994mm3.
The area moment of the stress plane of the section on the neutral axis (around the Y axis): Sy=3546mm3.
Plastic development coefficient: γ= 1.05
You can try to customize this section. This allows you to import real sections. But it will take up a lot of memory. Firstly, in cad, the required section is made into a surface, and then the sat file is exported. Then open ansys and click File to import sat file. In the beam section definition, there is a custom section with "Write from Area", which can define the section. Then read the part from the inside to use it.