## Strength of materials |

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Page 93

To many engineers, bending moment is

beam concave upward, as in Fig. 4r-7. We prefer to use an equivalent convention

which states that upward-acting external forces cause

...

To many engineers, bending moment is

**positive**if it produces bending of thebeam concave upward, as in Fig. 4r-7. We prefer to use an equivalent convention

which states that upward-acting external forces cause

**positive**bending moments...

Page 199

tangent. Another rule of sign that concerns slopes is shown in Fig. 6-11. A

**Positive**and negative deviations are shown in Fig. 6-10. Conversely, a computed**positive**value for deviation means that the point must lie above the referencetangent. Another rule of sign that concerns slopes is shown in Fig. 6-11. A

**positive**...Page 352

In applying Mohr's circle for strain, we use the following rules of sign. Extensional

strains are considered

strains

element.

In applying Mohr's circle for strain, we use the following rules of sign. Extensional

strains are considered

**positive**, compressive strains negative, and shearingstrains

**positive**when they increase the original right angle of an unstrainedelement.

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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