Atorque of magnitude t = 11 kn·m is applied to the end of a tank containing compressed air under a pressure of 8 mpa. knowing that the tank has a 180-mm inner diameter and a 12-mm wall thickness, determine the maximum normal stress and the maximum shearing stress in the tank. (round the final answers to one decimal place.)

Max Normal Stress,

Max Shear Stress,

Solution:

As per the question:

Torque, T = 11 kN.m = 11000 Nm

The inner diameter of the tank,

Thickness of the tank, t = 12 mm = 0.012 m

Pressure, P = 8 MPa =

Now,

Inner radius of the tank,

Outer radius of the tank,

Now,

To calculate the polar moment of inertia, J:

Now,

To calculate the shear stress at the surface end:

Now,

To calculate the stress at the outer end:

Now,

To calculate the value of the shear stress,

The resultant stress,

The overall resultant of all the stresses (all in MPa):

Now,

Max stress,

Minimum stress,

Now,

Maximum shear stress,

answer; ///(74) degrees is your answer..

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.