## Strength of Materials |

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Page 92

4-3b, the summation of moments must also balance. In this discussion, Ri and Vr

are equal, thereby producing a couple M that is equal to R\X and is called the

exploratory ...

4-3b, the summation of moments must also balance. 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 the beam. The fibers in theexploratory ...

Page 93

Sign of Bending Momenf. To many engineers,

produces bending of the beam concave upward, as in Fig. 4-7. We prefer to use

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

Sign of Bending Momenf. To many engineers,

**bending moment**is positive if itproduces bending of the beam concave upward, as in Fig. 4-7. We prefer to use

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

Page 114

definition of

applied between A 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 A 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 loaded beam shown bending bending moment bolt cantilever beam caused centroid CN CN CN column compressive stress Compute the maximum concentrated load concrete 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 Hooke's law horizontal ILLUSTRATIVE PROBLEMS lb/ft length loaded as shown main plate maximum shearing stress maximum stress midspan modulus Mohr's circle moment of area moment of inertia moments of inertia neutral axis obtain plane plastic product of inertia proportional limit radius 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