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information tell us is that somewhere between
φ
= 58
o
and
φ
= 59
o
, the shear
stress, τ’
xy
, becomes zero.
To find the actual value of
φ
n, press $. Then type the list corresponding to
the values {σx σy τxy}, for this case, it will be
{ 25 75 50 } [ENTER]
Then, press @CC&r. The last result in the output, 58.2825255885
o
, is the actual
value of
φ
n.
A program to calculate principal stresses
The procedure followed above to calculate
φ
n, can be programmed as follows:
Program PRNST:
« Start program PRNST (PRiNcipal STresses)
INDAT Enter data as in program MOHRCIRC
CC&r Calculate σc, r, and fn, as in MOHRCIRC
“
φ
n” TAG Tag angle for principal stresses
3 ROLLD Move tagged angle to level 3
RC DUP Convert σc and r to (σc, r), duplicate
CR + “σPx” TAG Calculate principal stress σPx, tag it
SWAP CR - “σPy” TAG Swap,calculate stress σPy, tag it.
» End program PRNST
To run the program use:
J@PRNST Start program PRNST
25˜ Enter σx = 25
75˜ Enter σy = 75
50` Enter τxy = 50, and finish data entry.
The result is:
Ordering the variables in the sub-directory
Running the program MOHRCIRCL for the first time produced a couple of new
variables, PPAR and EQ. These are the Plot PARameter and EQuation variables