D E = 200 200 GPa GPa = 200 200 kN kN/m /mm m2 ΔT=+100
Arod = 100 mm 2
C
3m ΔT=+100
A
Abeam = 600 mm 2
C B
ΔT=0
2m
C
Ibeam = 5 x 10 6 mm 4 d = 150 mm
C 2m
Beam Depth
Find:
F) G) H) I) J)
Displacement at C Axial force in CD Axial force diagram for AC Shear Diagram for AC Moment Diagram for AC
( The major steps used to perform pe rform the analysis: Step 1 – Define Geometry (Grid, Nodes, Node s, Elements, Restraints) – see previous example Step 2 – Define and Assign Element Properties (Materials, Cross-sections) Step 3 – Define Temperature Loading Step 4 – Analyze – see previous example Step 5 – Examine and Record Output Step 6 – Troubleshooting – see previous example Step 7 – Present Results
Lab 1 Demo - 15
Lehigh University CEE Department
J.M. Ricles
STEP 2 - DEFINE & ASSIGN ELEMENT PROPERTIES (Materials, Cross-Sections)
1) Define Materials (Define…Materials…Add New Material) Define Menu
1) Assign temperature loading to elements (Click on [select] elements, Assign…Frame Static Loads…Temperature> • Assign temperature change to specific elements • Note that default is add to existing loads (not replace) - (Make sure you are not applying double loads, etc.), if you are continuing from a previous problem it would be a good idea to first delete existing loads from all elements
CD: Select uniform temperature ADD Or REPLACE? Temperature change - ΔT
AB & BC: Select temperature gradient option ADD
Temperature change - ΔT/d
Lab 1 Demo - 17
Lehigh University CEE Department
J.M. Ricles
(2) Define Load Case (Define…Static Load Cases…) • If don’t want to include self-weight, must make multiplier = 0 and Change Load • Later, we may define Load Combinations (add in Wind, Earthquake, etc.)
Neglecting Self Weight
To Accept Change
Lab 1 Demo - 18
Lehigh University CEE Department
J.M. Ricles
STEP 4 - ANALYZE!!!
1) Define Analysis Guidelines (Analyze…Set Options…) • Select available degrees of freedom (for 2-D planar frame we only have ux ,uz, and r y) Run / Analyze
For Plane Frame in XZ
To Create Output Files
2) Run (Press key) • Look for the words “ANALYSIS COMPLETE” in the dialog box to make sure it didn’t encounter errors
Lab 1 Demo - 19
Lehigh University CEE Department
J.M. Ricles
STEP 5 - EXAMINE AND RECORD OUTPUT (Displacements, Reactions, Bar Forc es) (All can be found under Display Menu)
1) Show Deformed Shape (or key) • Make sure displacing in direction consistent with restraints and loads • Make sure of right magnitude (deflections not larger than structure dimensions) • Below (in box on right) the options chosen were: Wire Shadow and Cubic Curve Member Forces
Reactions
Displaced Shape
Animate!!
2) Examine Reactions (Show Element Forces/Stresses…Joints or J key) • Is global equilibrium satisfied? (see above in right-hand window) 3) Examine Internal Bar Forces (Show Element Forces/Stresses…Frames or F key) • Can do fill (solid) diagram or Show values on diagram • For 2-D, usually want Axial, Shear 2-2, Moment 3-3 (These refer to local axes 2 and 3) • For truss should have zero moment and shear in members!!!!! • Can right-click to get diagram of a single member (and move cursor for values along length)
Lab 1 Demo - 20
Lehigh University CEE Department
J.M. Ricles
Lab 1 Demo - 21
Lehigh University CEE Department
J.M. Ricles
INPUT DATA –Temperature Loading Analysis SAP2000 v7. 40 Fi l e: SAP DEMO_TEMPERATURE 2/ 6/ 01 16: 54: 41 S T A T I C
L OA D
PAGE 1
N- mm Uni t s
PAGE 2
C A S E S
STATI C CASE
CASE TYPE
SELF WT FACTOR
LOAD1
DEAD
0. 0000
SAP2000 v7. 40 Fi l e: SAP DEMO_TEMPERATURE 2/ 6/ 01 16: 54: 41 J O I N T
