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Task 11 Solid Mechanics 9 & 10 Task

Task Torsion Axles issue Statically Indeterminate:

Exercises 3.45 & 3.46

Two solid steel shaft (G = 11.2 x ^{10 6 psi} ) are connected to a coupling disk B fixed media and A and C . For the load shown in the figure below, determine: a) the reaction at each support, b) the maximum shear stress AB, c) the maximum shear stress in BC.

Now suppose that the axis AB is replaced by a hole in the same outside diameter and 1 inch inner diameter, determine: d) the reaction at each support, e) the maximum shear stress AB , f) the maximum shear stress BC .

Exercises 3.47 & 3.48

cylinders AB and BC are united in B, and A and C to fixed supports. Knowing that AB is Aluminum ( G = 26 GPa ) and BC Brass ( G = 39 GPa ), find for the load shown in the figure below: a) reaction at each support, b) the maximum shear stress AB, c) the maximum shear stress in BC.

Now suppose that AB is steel (G = 77 GPa) instead of aluminum, finds to the load shown in the figure below: d) The reaction at each support, e) the maximum shear stress in AB , f) the maximum effort shear BC.

Exercises 3.49 & 3.50

solid shaft AB and CD sleeve are both attached to short cylinder E . The steel shaft AB has a G _s ^{= 11.2 x10 6 psi} and (t adm) _s = 12 ksi while shirt Brass CD has a G _b = 5.6 x 10 6 psi and (t adm) _b = 7 ksi . Find the maximum torque that can be applied to the cylinder E shown in the figure below.

If you apply a torque T of 20 kips ¨ and the cylinder E the figure below, determine: a) the maximum shear stress on the shaft AB, b) the maximum shear shirt CD .

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