## Strength of materials |

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Page 112

which, being positive but decreasing in magnitude for the left portion, determine

that the moment

inclination. The slope becomes zero where the

that ...

which, being positive but decreasing in magnitude for the left portion, determine

that the moment

**diagram**slopes continuously up to the right with decreasinginclination. The slope becomes zero where the

**shear**ordinate is zero. Note alsothat ...

Page 115

At C. the

until D. The slope of the moment

and constant, resulting in the straight line. From the preceding discussion, it is ...

At C. the

**shear**ordinate changes abruptly from -4 to -12 kN, at which it remainsuntil D. The slope of the moment

**diagram**is correspondingly abruptly steeperand constant, resulting in the straight line. From the preceding discussion, it is ...

Page 117

Another relation between x and y is obtained from similar triangles in the load

) x = — — = 36 and x = 6 ft 120 The section of zero

fact ...

Another relation between x and y is obtained from similar triangles in the load

**diagram**: which is substituted in Eq. (a) to obtain 240 = ix(^x) from which 2 240(18) x = — — = 36 and x = 6 ft 120 The section of zero

**shear**at G is found from thefact ...

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### Common terms and phrases

allowable stresses aluminum angle area-moment assumed axes axial load beam in Fig beam loaded beam shown bending bolts cantilever beam caused centroid column components compressive stress Compute the maximum concentrated load connector cross section deformations Determine the maximum diameter elastic curve element end moments equal equivalent Euler's formula factor of safety fibers Figure flange flexure formula free-body diagram Hence Hooke's law horizontal Illustrative Problem kips lb/ft length loaded as shown main plate maximum shearing stress maximum stress method midspan deflection Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius reaction rectangular resisting resultant rivet rotation segment shaft shear center shear diagram shearing force shown in Fig slope Solution span static steel strain tensile stress thickness three-moment equation torque torsional U.S. Customary Units uniformly distributed load vertical shear weld zero