A-07 (2D Steel Frame) |
  
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A-07 (2D Steel Frame) |
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Objective
To verify the behavior of the beam element in a large 2D steel frame
Problem Description
A 5-span, 12-story 2D steel frame is subjected to static lateral and vertical loads as shown below. All beams are W24’s and all columns are W14’s. The lateral loads are in kips and vertical linear loads are in kip/ft (self weight included).
Material properties: E = 29000 ksi, ν = 0.3, density = 483.84 lb/ft3
Interior columns:
Floor 1 – 4: W14x120
Floor 5 – 8: W14x90
Floor 9 – 12: W14x68
Exterior columns:
Floor 1 – 4: W14x90
Floor 5 – 8: W14x68
Floor 9 – 12: W14x48
Beams:
Floor 1 – 4: W24x131
Floor 5 – 8: W24x104
Floor 9 – 12: W24x84
Units: Iz, Iy and J – in4, A, Ay and Az – in2
Section |
Iz |
Iy |
J |
A |
Ay |
Az |
W14X120 |
1380 |
495 |
9.37 |
35.3 |
8.555 |
23.03 |
W14X90 |
999 |
362 |
4.06 |
26.5 |
6.16 |
17.1583 |
W14X68 |
722 |
121 |
3.01 |
20 |
5.81 |
12 |
W14X48 |
484 |
51.4 |
1.45 |
14.1 |
4.692 |
7.96308 |
W24X131 |
4020 |
340 |
9.5 |
38.5 |
14.8225 |
20.64 |
W24X104 |
3100 |
259 |
4.72 |
30.6 |
12.05 |
16 |
W24X84 |
2370 |
94.4 |
3.7 |
24.7 |
11.327 |
11.5757 |
Finite Element Model
132 beam elements
Model type: 2D Frame (shear deformation included)
Results
The displacements and support reactions compared with another program, Frame Analysis & Design (STRAAD) [Ref 1].
Units: displacement-in; reaction force-kips, reaction moment - kip-ft
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ENERCALC 3D |
Frame Analysis & Design (STRAAD) |
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First order |
Second order |
First order |
Second order |
Dx @ node 73 |
5.981 |
7.151 |
5.9762 |
7.1347 |
Rx @ node 3 |
-36.773 |
-34.825 |
-36.7694 |
-34.8356 |
Ry @ node 3 |
2456.514 |
2457.846 |
2456.4503 |
2457.9036 |
Roz @ node 3 |
303.299 |
377.605 |
303.2664 |
377.6628 |
Comments
The results given by ENERCALC 3D are very close to the referenced values.
Reference
[1]. “Frame Analysis & Design”, Digital Canal Corporation, Dubuque, Iowa, USA
