Problem 1 011

Page 1

Software Verification PROGRAM NAME: REVISION NO.:

SAP2000 0

EXAMPLE 1-011 FRAME – INSERTION POINT EXAMPLE DESCRIPTION This example uses a cantilever beam to test the SAP2000 frame insertion point. In SAP2000 the frame insertion point is defined by a combination of a cardinal point and joint offsets. This example uses a 12 inch wide by 18 inch deep section. The cardinal point is specified to be at the bottom left corner of the section (cardinal point location 1) and global Z direction joint offsets of +12 inches are specified at each end of the beam. Two load cases are considered. The first load case has a 10 kip compressive load applied to the joint at the free end of the cantilever. The second load case applies the 10 kip compressive load to the free end of the frame object (not the joint). The fixed end moments and the maximum beam moments are compared with independent hand calculated results for the two load cases.

Y

1

2 2

A X

1 3 As Modeled in SAP2000

Cardinal point 1 at bottom left corner

9"

Z

B

2 6" 6"

9"

A

Section Dimensions b = 12 in d = 18 in Section centroid

12"

10'

3

Joint offset Uz = +12"

GEOMETRY AND PROPERTIES

Joint 2 Section B-B (Section A-A similar, opposite hand)

EXAMPLE 1-011 - 1


Software Verification PROGRAM NAME: REVISION NO.:

SAP2000 0

ANALYSIS MODEL WITH LOADING

Rigid link

1 C

Rigid link C 1 C

2

D As modeled frame object location shown dashed Analysis Model – Load Case 1 Frame object

Section centroid Rigid link

3

Joint offset Uz = +12"

P = 10 k

6" 6" 9"

D

2

9"

Frame object

12"

Rigid link C

Joint 2 D

2 D As modeled frame object location shown dashed Analysis Model – Load Case 2

P = 10 k

Section D-D (Section C-C similar, opposite hand)

Rigid link

TECHNICAL FEATURES OF SAP2000 TESTED  Frame cardinal point  Joint offsets

EXAMPLE 1-011 - 2


Software Verification PROGRAM NAME: REVISION NO.:

SAP2000 0

RESULTS COMPARISON Independent results are hand calculated using statics. Load Case

Output Parameter

SAP2000

Independent

Percent Difference

My (fixed end) k-in

0

0

0%

Mz (fixed end) k-in

0

0

0%

M3 (beam max) k-in

-210

-210

0%

M2 (beam max) k-in

-60

-60

0%

My (fixed end) k-in

210

210

0%

Mz (fixed end) k-in

60

60

0%

M3 (beam max) k-in

0

0

0%

M2 (beam max) k-in

0

0

0%

1

2

COMPUTER FILE: Example 1-011 CONCLUSION The SAP2000 results match exactly with the independent results.

EXAMPLE 1-011 - 3


Software Verification PROGRAM NAME: REVISION NO.:

SAP2000 0

HAND CALCULATION

EXAMPLE 1-011 - 4


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