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October 26, 2014

October 26, 2014

Posted by **Uncle Sam** on Tuesday, July 23, 2013 at 4:05am.

Obtain symbolic expressions in terms of R, G, L, q0, and x for the quantities below. (In your answers, leave rationals as fractions and enter q0 and π as q_0 and pi, respectively.)

EQ2_1_1

The x-component of the reaction torques at A and B:

TxA=

TxB=

The axial torque resultant in the bar T(x), and the position x0 along the shaft where this torque resultant goes to zero (T(x0)=0):

for0≤x≤L,T(x)=

forL≤x≤2L,T(x)=

T(x0)=0 at x0=

EQ2_1_3

The maximum absolute value of the shear stress in the shaft (τmax) and its location (rτmax, xτmax):

τmax=

rτmax=

xτmax=

EQ2_1_4

the maximum value of the rotation field φ(x) along the shaft (φmax), and the position along the shaft where the maximum rotation occurs (xφmax):

φmax=

xφmax=

- Mechanics of Solids 2.01x -
**Superman**, Friday, July 26, 2013 at 4:31pmQ2_1_1

TXC=-t_0*L

Q2=1_2

a) 0<=x<L ===>> (2*t_0*L)/(pi*G_0*R4)

b)L<=x<=3L =>>(2*t_0*(2*L-))/pi*G_0*R^4)

c) x=2*L

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