## Strength of materials |

### From inside the book

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Page 32

1 shows the stress-strain diagram to be a straight line. From this we deduce the

well-known relation, first postulated by Robert Hooke* in 1678, that stress is ...

**Proportional Limit**From the origin O to a point called the**proportional limit**, Fig. 2-1 shows the stress-strain diagram to be a straight line. From this we deduce the

well-known relation, first postulated by Robert Hooke* in 1678, that stress is ...

Page 34

In design, the working stress aw should be limited to values not exceeding the

on which all subsequent theory is based. However, since the

...

In design, the working stress aw should be limited to values not exceeding the

**proportional limit**so as not to invalidate the stress-strain relation of Hooke's lawon which all subsequent theory is based. However, since the

**proportional limit**is...

Page 396

However, this section has a least r = 51.7 mm and an area of 6660 mm2, which

results in a stress exceeding the

acceptable because it violates the stress-strain proportionality on which Euler's ...

However, this section has a least r = 51.7 mm and an area of 6660 mm2, which

results in a stress exceeding the

**proportional limit**of 200 MPa. It is, therefore, notacceptable because it violates the stress-strain proportionality on which Euler's ...

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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