## Strength of Materials |

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Page 28

2-1 shows the stress-

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

proportional to

2-1 shows the stress-

**strain**diagram to be a straight line. From this we deduce thewell-known relation, first postulated by Robert Hooke* in 1678, that stress is

proportional to

**strain**. Notice carefully that this proportionality does not extend ...Page 352

between OA and its normal OB, which defines the shearing

located 0° from the X-Y axes, becomes Tat = P — j8' = ex(2 sin 6 cos 6) — e„(2

sin 6 cos 0) + 7x„(cos2 0 — sin2 0) which, in terms of the double angle 20, ...

between OA and its normal OB, which defines the shearing

**strain**for an elementlocated 0° from the X-Y axes, becomes Tat = P — j8' = ex(2 sin 6 cos 6) — e„(2

sin 6 cos 0) + 7x„(cos2 0 — sin2 0) which, in terms of the double angle 20, ...

Page 356

In a similar manner, the normal and shearing stresses on the element at 60° from

the A' axis can be determined from the corresponding

90 X 10-6, a = 910 X 10-6, and 7* = 220 X 10-6. Applying Hooke's law, we obtain

...

In a similar manner, the normal and shearing stresses on the element at 60° from

the A' axis can be determined from the corresponding

**strain**components of ta =90 X 10-6, a = 910 X 10-6, and 7* = 220 X 10-6. Applying Hooke's law, we obtain

...

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