## Strength of materials |

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Page 62

Slice (2) will rotate past slice (1) until the elastic fibers joining them are deformed

enough to create a resisting

happens, slices (1) and (2) will act as a rigid unit and transmit the

3) ; this slice will rotate enough so that the elastic fibers joining it and slice (2)

develop a resisting

proceeds throughout the length L of the shaft. The helix AC is the line joining the

...

Slice (2) will rotate past slice (1) until the elastic fibers joining them are deformed

enough to create a resisting

**torque**which balances the applied**torque**. When thishappens, slices (1) and (2) will act as a rigid unit and transmit the

**torque**to slice (3) ; this slice will rotate enough so that the elastic fibers joining it and slice (2)

develop a resisting

**torque**equal to the applied**torque**. This type of deformationproceeds throughout the length L of the shaft. The helix AC is the line joining the

...

Page 70

A hollow bronze shaft of 3 in. outer diameter and 2 in. inner diameter is slipped

over a solid steel shaft 2 in. in diameter and of the same length as the hollow

shaft. The two shafts are then fastened rigidly together at their ends. Determine

the maximum shearing stress developed in each material by a

lb. G for bronze is 6 X 106 psi and for steel is 12 X 106 psi. Ans. (S.)6 = 4730 psi;

(S.). = 6310 psi 318. What

in Prob.

A hollow bronze shaft of 3 in. outer diameter and 2 in. inner diameter is slipped

over a solid steel shaft 2 in. in diameter and of the same length as the hollow

shaft. The two shafts are then fastened rigidly together at their ends. Determine

the maximum shearing stress developed in each material by a

**torque**of 2500 ft-lb. G for bronze is 6 X 106 psi and for steel is 12 X 106 psi. Ans. (S.)6 = 4730 psi;

(S.). = 6310 psi 318. What

**torque**can be applied to the composite shaft describedin Prob.

Page 71

Ferdinand Leon Singer. 322. A

solid shaft with Tb built-in ends. Prove that the resisting

= - — and Lj T-i = ——• How would these values be changed if the shaft were

hollow? Jj ...

Ferdinand Leon Singer. 322. A

**torque**T is applied, as shown in Fig. P-322, to asolid shaft with Tb built-in ends. Prove that the resisting

**torques**at the walls are T\= - — and Lj T-i = ——• How would these values be changed if the shaft were

hollow? Jj ...

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allowable stresses aluminum angle assumed axes axial load beam in Fig beam loaded beam shown bending bolt cantilever beam caused centroid CN CN column compressive stress Compute the maximum concentrated load concrete cover plate cross section deformation Determine the maximum diameter elastic curve end moments equal equivalent Euler's formula factor of safety fibers flange flexure formula free-body diagram ft long ft-lb Hence hinged Hooke's law horizontal ILLUSTRATIVE PROBLEMS lb/ft length loaded as shown main plate maximum shearing stress maximum stress midspan midspan deflection modulus Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius ratio reaction Repeat Prob resisting restrained beam resultant segment shaft shear center shear diagram shearing force shown in Fig Solution Solve Prob span static steel strain tensile stress thickness torque torsional uniformly distributed load vertical shear weld zero