## Strength of materials |

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Page 30

In actual design, the allowable stress Sw should be limited to values not

exceeding the proportional limit so as not to invalidate the stress-strain relation of

proportional ...

In actual design, the allowable stress Sw should be limited to values not

exceeding the proportional limit so as not to invalidate the stress-strain relation of

**Hooke's law**on which all subsequent theory is based. However, since theproportional ...

Page 31

Slope of stress-strain curve = E = - which is usually written in the form S = Et (2-3)

In this form it is known as

that stress was proportional to strain, but Thomas Young in 1807 introduced a ...

Slope of stress-strain curve = E = - which is usually written in the form S = Et (2-3)

In this form it is known as

**Hooke's law**. Originally**Hooke's law**specified merelythat stress was proportional to strain, but Thomas Young in 1807 introduced a ...

Page 128

The material in the beam is homogeneous and obeys Ilooke's law. 3. ... The

derivation of this relation follows the procedure developed in deriving the torsion

formula (see Art. 3-2) ; i.e., the elastic deformations plus

the ...

The material in the beam is homogeneous and obeys Ilooke's law. 3. ... The

derivation of this relation follows the procedure developed in deriving the torsion

formula (see Art. 3-2) ; i.e., the elastic deformations plus

**Hooke's law**determinethe ...

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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