## Strength of materials |

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Page 496

a slope C. Slope C is smaller than slope E; therefore the increment of stress

required to produce a specified increment of strain is less within the

than it is within the elastic region. Such a material is said to strain-harden; it does

...

a slope C. Slope C is smaller than slope E; therefore the increment of stress

required to produce a specified increment of strain is less within the

**plastic**regionthan it is within the elastic region. Such a material is said to strain-harden; it does

...

Page 498

Applying the flexure formula, we find that the resisting moment at this section is

bh2 Myp = ffyp "T (O) 0 « At section b-b, the section is elastic over the depth 2yh

but

Applying the flexure formula, we find that the resisting moment at this section is

bh2 Myp = ffyp "T (O) 0 « At section b-b, the section is elastic over the depth 2yh

but

**plastic**outside this depth, as shown by the stress distribution in part (c).Page 518

where r, defines the elastic-

torque is TL = tT„ (14-2) For symmetrical beams bent into the

bending moment is M = ^sh + 2a q (14-3) where y, defines the elastic-

where r, defines the elastic-

**plastic**boundary. For the fully**plastic**case, the limittorque is TL = tT„ (14-2) For symmetrical beams bent into the

**plastic**range, thebending moment is M = ^sh + 2a q (14-3) where y, defines the elastic-

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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