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The independent results are hand calculated using the unit load method described on page 244 in Cook and Young 1985. In addition, the torsional stiffness of the section, J, is calculated using item 4 in Table 20 on page 290 in Roark and Young 1975. Independent results are also published in MacNeal and Harder 1985.


COMPARISION

Load Case And TypeModel And Element ShapeOutput ParameterOpenBrIMSAP2000Independent

Percent Difference

(OpenBrIM vs SAP2000)

Percent Difference

(OpenBrIM vs Independent)


Load Case 1

Axial Extension



A- Rectangle



Ux


Average of jts 7 and 14


in

0.000030.00003



0.00003
 0.00%

 0.00%

B - Trapezoid0.000030.00003 0.00%0.00%
C - Parallelogram0.000030.00003 0.00%0.00%
D - Triangle 20.000030.00003 0.00%0.00%
E – Triangle 40.000030.00003 0.00%0.00%



Load case 2
In-plane shear and bending

A- Rectangle



Uz
Average of jts 7 and 14


in

0.097680.1072




0.1081



-8.88%-9.64%
B - Trapezoid0.088170.022774.26%-18.44%
C - Parallelogram0.097550.080417.57%-9.76%
D - Triangle 20.115730.003297.23%7.06%
E – Triangle 40.008650.006623.73%-92.00%


Load case 3
Out-of-plane shear and bending


A- Rectangle

Uy
Average of jts 7 and 14



in

0.432000.4320



0.43210
0%-2.31%
B - Trapezoid0.432270.43220%3.93%
C - Parallelogram0.432190.43220%2.08%
D - Triangle 20.428440.4296-0.27%-8.47%
E – Triangle 4

0.42900

0.4314-0.056%-7.18%


Load Case And TypeModel And Element ShapeOutput ParameterOpenBrIMSAP2000Independent

Percent Difference

(OpenBrIM vs SAP2000)

Percent Difference

(OpenBrIM vs Independent)



Load case 4
Twist


A- Rectangle


Uy
Average of absolute values at jts 7 and 14


in

0.002330.00233



0.00341
0.02%-31.67%
B - Trapezoid0.002330.002330.01%-31.67%
C - Parallelogram0.002330.002330.01%-31.67%
D - Triangle 20.002190.002310.64%-35.78%
E – Triangle 40.002010.002300.23%-41.03%


Load case 5
In-Plane Moment


A- Rectangle


Ux
Average of absolute values at jts 7 and 14


in

0.000828.990E-04


0.0009

-8.89%-8.89%
B - Trapezoid0.000741.395E-04-81.2%-17.78%
C - Parallelogram0.000827.225E-0410.94%-8.89%
D - Triangle 20.000970.265E-0497.27%7.78%
E – Triangle 40.000070.550E-0421.93%-92.22%

Load case 6
Out-of-Plane Moment


A- Rectangle



Rz
Average of values at jts 7 and 14

radians

0.0360.036
0.036


0.00%0.00%
B - Trapezoid0.0360.0360.00%0.00%
C - Parallelogram0.0360.0360.00%0.00%
D - Triangle 20.0360.0360.00%0.00%
E – Triangle 40.0360.0360.00%0.00%


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