## Strength of materials |

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Page 92

In this discussion, Ri and Vr are equal, thereby producing a couple M that is

equal to R\x and is called the

beam. The fibers in the exploratory section must create a numerically equal

resisting ...

In this discussion, Ri and Vr are equal, thereby producing a couple M that is

equal to R\x and is called the

**bending**moment, because it tends to bend thebeam. The fibers in the exploratory section must create a numerically equal

resisting ...

Page 93

Sign of

produces

an equivalent convention which states that upward-acting external forces cause ...

Sign of

**Bending**Moment. To many engineers,**bending**moment is positive if itproduces

**bending**of the beam concave upward, as in Fig. 4r-7. We prefer to usean equivalent convention which states that upward-acting external forces cause ...

Page 114

definition of

applied between .4 and F totals 240 lb and acts at the centroid of the triangular

area, i.e., ...

**Bending**Moment. The moment at F where x = 6 ft is found by applying thedefinition of

**bending**moment.* Note that the shaded part of the triangular loadapplied between .4 and F totals 240 lb and acts at the centroid of the triangular

area, i.e., ...

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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