A thin- walled tube has been fabricated by bending a metal plate of thickness t into a cylinder of radius c and bending together the edges of the plate. Torque T is then applied to the tube, producing a shearing stress S1 and an angle twist P1 . Denoting by S2 and P1 , respectively, the shearing stress and the angle of twist which will develop if the bond suddenly fails, express the ratios S2/S1 and P2/P1 in term of the ratio c/t(adsbygoogle = window.adsbygoogle || []).push({});

all that i can see here is the obvious,

since it is a thin walled tube i can use the following

[tex]\tau[/tex]_{max}=T*r_{avg}/J

J=2pi*r_{avg}^{3}*t

dP/dt=T/(GJ)

now i know that r_{avg}=c+t/2

what i also think is that at point 2, (P2,S2) i am at the critical point of the joint where it reaches its maximum so S2=[tex]\tau[/tex]_{max}

but thats all i manage to get and nowehre near any kind of ratio c/t

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Stress and angle of deflection

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**