## Strength of materials |

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Page 66

If a torque T is applied at the ends of the shaft, a

which is originally straight, will be twisted into a helix AC as the shaft is twisted

through the angle 8. This helix is formed as follows: Imagine the shaft to consist of

...

If a torque T is applied at the ends of the shaft, a

**fiber**AB on the outside surface,which is originally straight, will be twisted into a helix AC as the shaft is twisted

through the angle 8. This helix is formed as follows: Imagine the shaft to consist of

...

Page 86

3- 14a, torsion produces the same shearing deformation 6j on

The shearing strain, 7 = 8,/L, is the same at B and D, since the elements AB and

CD have the same original length. A different situation, Figure 3-14 Torsion of ...

3- 14a, torsion produces the same shearing deformation 6j on

**fibers**AB and CD.The shearing strain, 7 = 8,/L, is the same at B and D, since the elements AB and

CD have the same original length. A different situation, Figure 3-14 Torsion of ...

Page 152

With such a cross section, the stronger

from the neutral axis than the weaker

materials is to locate the centroidal or neutral axis in such a position that the ratio

of the ...

With such a cross section, the stronger

**fibers**can be located at a greater distancefrom the neutral axis than the weaker

**fibers**. The ideal treatment for suchmaterials is to locate the centroidal or neutral axis in such a position that the ratio

of the ...

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### Common terms and phrases

allowable stresses aluminum angle area-moment assumed axes axial load beam in Fig beam loaded beam shown bending bolts cantilever beam caused centroid column components compressive stress Compute the maximum concentrated load connector cross section deformations Determine the maximum diameter elastic curve element end moments equal equivalent Euler's formula factor of safety fibers Figure flange flexure formula free-body diagram Hence Hooke's law horizontal Illustrative Problem kips lb/ft length loaded as shown main plate maximum shearing stress maximum stress method midspan deflection Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius reaction rectangular resisting resultant rivet rotation segment shaft shear center shear diagram shearing force shown in Fig slope Solution span static steel strain tensile stress thickness three-moment equation torque torsional U.S. Customary Units uniformly distributed load vertical shear weld zero