## Strength of Materials |

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Page 91

To satisfy 2F = 0, the

section a-a to create a resisting force. This is shown as Vr, and is called the

resisting

if ...

To satisfy 2F = 0, the

**vertical**unbalance caused by R\ requires the fibers insection a-a to create a resisting force. This is shown as Vr, and is called the

resisting

**shearing**force. For the loading shown, Vr is numerically equal to Ax! butif ...

Page 163

5-21 we note that dF = S„b ds, where S, is the average shearing stress over the

differential area of width 6 and length dx; ... wk.l 1,11 A From Art. 4-4 we recall

that — - = V, the

V f ...

5-21 we note that dF = S„b ds, where S, is the average shearing stress over the

differential area of width 6 and length dx; ... wk.l 1,11 A From Art. 4-4 we recall

that — - = V, the

**vertical shear**; so we obtain for dx the horizontal shearing stress,V f ...

Page 164

that forms the resisting

V. Since it is not feasible to determine S,, directly, we have resorted to deriving ...

**vertical shearing**stress. It is this**vertical shearing**stress <S,„, shown in Fig. 5-23,that forms the resisting

**vertical shear**Vr = fS,dA which balances the**vertical shear**V. Since it is not feasible to determine S,, directly, we have resorted to deriving ...

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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