A circular bar AB of length L is fixed against rotation at the ends and loaded by a distributed torque t(x) that varies linearly in intensity from zero at end A to to at end B (see figure). 1(x) -L· (a) Obtain formulas for the fixed-end torques TA and TB. (Use the following as necessary: to and L. Indicate the direction with the signs of your answers.) = 2 - T = B Ito 6 = B GI 72 L² to 3GI Р = LT 5000 3 (b) Find an expression for the angle of twist p(x). What is max? (Use the following as necessary: to, L, G, I, and x. Note that subscript p is lowercase. Use the statics sign convention.) 4 4(x) max = = - -x tox 6GIμL 0.577L x x Where does occur along the bar? (Use the following as necessary: L.) max x = -0.064 L² GI P x
A circular bar AB of length L is fixed against rotation at the ends and loaded by a distributed torque t(x) that varies linearly in intensity from zero at end A to to at end B (see figure). 1(x) -L· (a) Obtain formulas for the fixed-end torques TA and TB. (Use the following as necessary: to and L. Indicate the direction with the signs of your answers.) = 2 - T = B Ito 6 = B GI 72 L² to 3GI Р = LT 5000 3 (b) Find an expression for the angle of twist p(x). What is max? (Use the following as necessary: to, L, G, I, and x. Note that subscript p is lowercase. Use the statics sign convention.) 4 4(x) max = = - -x tox 6GIμL 0.577L x x Where does occur along the bar? (Use the following as necessary: L.) max x = -0.064 L² GI P x
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Transcribed Image Text:A circular bar AB of length L is fixed against rotation at the ends and loaded by a distributed torque t(x) that varies linearly in
intensity from zero at end A to to at end B (see figure).
1(x)
-L·
(a) Obtain formulas for the fixed-end torques TA and TB. (Use the following as necessary: to and L. Indicate the direction with the
signs of your answers.)
=
2
-
T =
B
Ito
6
=
B
GI
72
L² to
3GI
Р
=
LT
5000
3
(b) Find an expression for the angle of twist p(x). What is max? (Use the following as necessary: to, L, G, I, and x. Note that
subscript p is lowercase. Use the statics sign convention.)
4
4(x)
max
=
=
-
-x
tox
6GIμL
0.577L
x
x
Where does
occur along the bar? (Use the following as necessary: L.)
max
x = -0.064
L²
GI
P
x
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