I'm confused about the "Corotational Transformation" in the eample of the Opensees’s homepage. http://opensees.berkeley.edu/OpenSees/m ... ML/776.htm of the sentences of
# Girder section
section fiberSec 3 {
patch quadr 1 1 12 -12 9 -12 -9 12 -9 12 9
layer straight 3 4 1.00 -9 9 -9 -9
layer straight 3 4 1.00 9 9 9 -9
}
and the use the geomTransf Linear 1
is that meam the example put the beam down? I mean did the wirter mistake the beam depth into the beam flange?
Beacuse according to the Language Manual the dimension of the beam depth should parallel to the local z axis but in the example it parallel to the local y axis!
who is wrong?
in order to make sure the problem i make a example as below to build the frame and watch the element's (PＶM) in two way. One is like the example in Opensees's homepage and the other is to turen the section to a 90°spin. Means that in my understand of exmples i make a example1 to but the beam down and example2 to but the beam up and the material and section size , load ,fix ,are all the other to be same. That also means in example2 the Beam stiffness should bigger than the first one because it's up. And
,Results indeed, according to the information of the element.is that mean the Opensees homepage is wrong or is there any mistake or missunderstanding of me?
Background：
a one-story-one-bay concrete frame；the two columns are vertical and the beam is horizontal；just like the example3.1 in Opensees's homepage you can see the picture http://opensees.berkeley.edu/OpenSees/m ... ML/862.htm;
But I change the load into a eleLoad uniform of 180 kip/in but none of the node load And change the beam into the same section and material of the column.
example1：
# OpenSees Primer
#
# Units: kips, in, sec
# ------------------------------
# Start of model generation
# ------------------------------
# Create ModelBuilder (with two-dimensions and 3 DOF/node)
model basic -ndm 2 -ndf 3
# Create nodes
# ------------
# Set parameters for overall model geometry
set width 360
set height 144
# Create nodes
# tag X Y
node 1 0.0 0.0
node 2 $width 0.0
node 3 0.0 $height
node 4 $width $height
# Fix supports at base of columns
# tag DX DY RZ
fix 1 1 1 1
fix 2 1 1 1
# Define materials for nonlinear columns
# ------------------------------------------
# CONCRETE tag f'c ec0 f'cu ecu
# Core concrete (confined)
uniaxialMaterial Concrete01 1 -6.0 -0.004 -5.0 -0.014
# Cover concrete (unconfined)
uniaxialMaterial Concrete01 2 -5.0 -0.002 0.0 -0.006
# STEEL
# Reinforcing steel
set fy 60.0; # Yield stress
set E 30000.0; # Young's modulus
# tag fy E0 b
uniaxialMaterial Steel01 3 $fy $E 0.01
# Define cross-section for nonlinear columns
# ------------------------------------------
# set some paramaters
set colWidth 15
set colDepth 24
set cover 1.5
set As 0.60; # area of no. 7 bars
# some variables derived from the parameters
set y1 [expr $colDepth/2.0]
set z1 [expr $colWidth/2.0]
section Fiber 1 {
# Create the concrete core fibers
patch rect 1 10 1 [expr $cover-$y1] [expr $cover-$z1] [expr $y1-$cover] [expr $z1-$cover]
# Create the concrete cover fibers (top, bottom, left, right)
patch rect 2 10 1 [expr -$y1] [expr $z1-$cover] $y1 $z1
patch rect 2 10 1 [expr -$y1] [expr -$z1] $y1 [expr $cover-$z1]
patch rect 2 2 1 [expr -$y1] [expr $cover-$z1] [expr $cover-$y1] [expr $z1-$cover]
patch rect 2 2 1 [expr $y1-$cover] [expr $cover-$z1] $y1 [expr $z1-$cover]
# Create the reinforcing fibers (left, middle, right)
layer straight 3 3 $As [expr $y1-$cover] [expr $z1-$cover] [expr $y1-$cover] [expr $cover-$z1]
layer straight 3 2 $As 0.0 [expr $z1-$cover] 0.0 [expr $cover-$z1]
layer straight 3 3 $As [expr $cover-$y1] [expr $z1-$cover] [expr $cover-$y1] [expr $cover-$z1]
}
# Define column elements
# ----------------------
# Geometry of column elements
# tag
geomTransf Linear 1
# Number of integration points along length of element
set np 5
# Create the coulumns using Beam-column elements
# tag ndI ndJ nsecs secID transfTag
element nonlinearBeamColumn 1 1 3 $np 1 1
element nonlinearBeamColumn 2 2 4 $np 1 1
element nonlinearBeamColumn 3 3 4 $np 1 1
# Define beam elment
# Define gravity loads
# --------------------
# Create a Plain load pattern with a Linear TimeSeries
pattern Plain 1 "Linear" {
eleLoad -ele 3 -type -beamUniform 180
}
# ------------------------------
# End of model generation
# ------------------------------
# ------------------------------
# Start of analysis generation
# ------------------------------
# Create the system of equation, a sparse solver with partial pivoting
system BandGeneral
# Create the constraint handler, the transformation method
constraints Transformation
# Create the DOF numberer, the reverse Cuthill-McKee algorithm
numberer RCM
# Create the convergence test, the norm of the residual with a tolerance of
# 1e-12 and a max number of iterations of 10
test NormDispIncr 1.0e-12 10 3
# Create the solution algorithm, a Newton-Raphson algorithm
algorithm Newton
# Create the integration scheme, the LoadControl scheme using steps of 0.1
integrator LoadControl 0.1
# Create the analysis object
analysis Static
# initialize in case we need to do an initial stiffness iteration
initialize
# ------------------------------
# End of analysis generation
# ------------------------------
# ------------------------------
# Start of recorder generation
# ------------------------------
# Create a recorder to monitor nodal displacements
recorder Node -file nodeGravity.out -time -node 3 4 -dof 1 2 3 disp
# --------------------------------
# End of recorder generation
# ---------------------------------
# ------------------------------
# Finally perform the analysis
# ------------------------------
# perform the gravity load analysis, requires 10 steps to reach the load level
analyze 10
# Print out the state of nodes 3 and 4
print node 3 4
# Print out the state of element 1
print ele 1 2 3
example2：
# OpenSees Primer
#
# Units: kips, in, sec
# ------------------------------
# Start of model generation
# ------------------------------
# Create ModelBuilder (with two-dimensions and 3 DOF/node)
model basic -ndm 2 -ndf 3
# Create nodes
# ------------
# Set parameters for overall model geometry
set width 360
set height 144
# Create nodes
# tag X Y
node 1 0.0 0.0
node 2 $width 0.0
node 3 0.0 $height
node 4 $width $height
# Fix supports at base of columns
# tag DX DY RZ
fix 1 1 1 1
fix 2 1 1 1
# Define materials for nonlinear columns
# ------------------------------------------
# CONCRETE tag f'c ec0 f'cu ecu
# Core concrete (confined)
uniaxialMaterial Concrete01 1 -6.0 -0.004 -5.0 -0.014
# Cover concrete (unconfined)
uniaxialMaterial Concrete01 2 -5.0 -0.002 0.0 -0.006
# STEEL
# Reinforcing steel
set fy 60.0; # Yield stress
set E 30000.0; # Young's modulus
# tag fy E0 b
uniaxialMaterial Steel01 3 $fy $E 0.01
# Define cross-section for nonlinear columns
# ------------------------------------------
# set some paramaters
set colWidth 15
set colDepth 24
set cover 1.5
set As 0.60; # area of no. 7 bars
# some variables derived from the parameters
set y1 [expr $colDepth/2.0]
set z1 [expr $colWidth/2.0]
section Fiber 1 {
# Create the concrete core fibers
patch rect 1 10 1 [expr $cover-$y1] [expr $cover-$z1] [expr $y1-$cover] [expr $z1-$cover]
# Create the concrete cover fibers (top, bottom, left, right)
patch rect 2 10 1 [expr -$y1] [expr $z1-$cover] $y1 $z1
patch rect 2 10 1 [expr -$y1] [expr -$z1] $y1 [expr $cover-$z1]
patch rect 2 2 1 [expr -$y1] [expr $cover-$z1] [expr $cover-$y1] [expr $z1-$cover]
patch rect 2 2 1 [expr $y1-$cover] [expr $cover-$z1] $y1 [expr $z1-$cover]
# Create the reinforcing fibers (left, middle, right)
layer straight 3 3 $As [expr $y1-$cover] [expr $z1-$cover] [expr $y1-$cover] [expr $cover-$z1]
layer straight 3 2 $As 0.0 [expr $z1-$cover] 0.0 [expr $cover-$z1]
layer straight 3 3 $As [expr $cover-$y1] [expr $z1-$cover] [expr $cover-$y1] [expr $cover-$z1]
}
section Fiber 2 {
# Create the beam concrete core fibers
patch rect 1 1 10 [expr $cover-$z1] [expr $cover-$y1] [expr $z1-$cover] [expr $y1-$cover]
# Create the concrete cover fibers (top, bottom, left, right)
patch rect 2 1 10 [expr $z1-$cover] [expr -$y1] $z1 $y1
patch rect 2 1 10 [expr -$z1] [expr -$y1] [expr $cover-$z1] $y1
patch rect 2 1 2 [expr $cover-$z1] [expr -$y1] [expr $z1-$cover] [expr $cover-$y1]
patch rect 2 1 2 [expr $cover-$z1] [expr $y1-$cover] [expr $z1-$cover] $y1
# Create the reinforcing fibers (left, middle, right)
layer straight 3 3 $As [expr $z1-$cover] [expr $y1-$cover] [expr $cover-$z1] [expr $y1-$cover]
layer straight 3 2 $As [expr $z1-$cover] 0.0 [expr $cover-$z1] 0.0
layer straight 3 3 $As [expr $z1-$cover] [expr $cover-$y1] [expr $cover-$z1] [expr $cover-$y1]
}
# Define column elements
# ----------------------
# Geometry of column elements
# tag
geomTransf Linear 1
# Number of integration points along length of element
set np 5
# Create the coulumns using Beam-column elements
# tag ndI ndJ nsecs secID transfTag
element nonlinearBeamColumn 1 1 3 $np 1 1
element nonlinearBeamColumn 2 2 4 $np 1 1
element nonlinearBeamColumn 3 3 4 $np 2 1
# Define beam elment
# Define gravity loads
# --------------------
# Create a Plain load pattern with a Linear TimeSeries
pattern Plain 1 "Linear" {
eleLoad -ele 3 -type -beamUniform 180
}
# ------------------------------
# End of model generation
# ------------------------------
# ------------------------------
# Start of analysis generation
# ------------------------------
# Create the system of equation, a sparse solver with partial pivoting
system BandGeneral
# Create the constraint handler, the transformation method
constraints Transformation
# Create the DOF numberer, the reverse Cuthill-McKee algorithm
numberer RCM
# Create the convergence test, the norm of the residual with a tolerance of
# 1e-12 and a max number of iterations of 10
test NormDispIncr 1.0e-12 10 3
# Create the solution algorithm, a Newton-Raphson algorithm
algorithm Newton
# Create the integration scheme, the LoadControl scheme using steps of 0.1
integrator LoadControl 0.1
# Create the analysis object
analysis Static
# initialize in case we need to do an initial stiffness iteration
initialize
# ------------------------------
# End of analysis generation
# ------------------------------
# ------------------------------
# Start of recorder generation
# ------------------------------
# Create a recorder to monitor nodal displacements
recorder Node -file nodeGravity.out -time -node 3 4 -dof 1 2 3 disp
# --------------------------------
# End of recorder generation
# ---------------------------------
# ------------------------------
# Finally perform the analysis
# ------------------------------
# perform the gravity load analysis, requires 10 steps to reach the load level
analyze 10
# Print out the state of nodes 3 and 4
print node 3 4
# Print out the state of element 1
print ele 1 2 3
who can tell me..............
if you want you can copy the sectenses above directly to use the Opensees and watch the result