Apressurized cylinder of inner diameter 20" and outer diameter 30" is made of mild carbon steel (e = 30,000 ksi, v = 0.3) with a 36 ksi tension yield streaa. determine the pressure to cause yield by the tresca criteria for plane stress conditions.
determine the pressure to cause yield for a closed end cylinder using the von mises criteria.
answer & explanation:
"the force on a cutting tool are 2600n vertically downward" sounds a little unusual, since most of the time, the tool is above the object to be cut in such a way that the force acting "on the tool" is upwards. we will accept the statement as it is (downwards).
since the two forces are acting at right angles to each other, the resultant can be found using pythagoras theorem, namely
resultant = sqrt(2600^2+2100^2) = 3342 n (approx.)
the angle can be found using the arctangent function, or
angle = arctangent(2600/2100) = 51.07 degrees below the horizontal, since the 2600 n force is acting downwards.
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d is the answer
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