## 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 Ri 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, VT is numerically equal to Ri; butif ...

Page 163

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

differential area of width b and length dx; ... the

the horizontal shearing stress, (5-4) We have replaced the integral yd A, which ...

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

differential area of width b and length dx; ... the

**vertical shear**; so we obtain for dxthe horizontal shearing stress, (5-4) We have replaced the integral yd A, which ...

Page 164

that forms the resisting

deriving ...

**vertical shearing**stress. It is this**vertical shearing**stress S,v, 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,v directly, we have resorted toderiving ...

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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