## Strength of Materials |

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Page 92

4 - 3b , the summation of moments must also balance . In this discussion , R1 and

V , are equal , thereby producing a couple M that is equal to Rix and is called the

4 - 3b , the summation of moments must also balance . In this discussion , R1 and

V , are equal , thereby producing a couple M that is equal to Rix and is called the

**bending moment**, because it tends to bend the beam . The fibers in the ...Page 93

To many engineers ,

beam concave upward , as in Fig . 4 - 7 . ... forces cause positive

To many engineers ,

**bending moment**is positive if it produces bending of thebeam concave upward , as in Fig . 4 - 7 . ... forces cause positive

**bending****moments**with respect to any section ; downward forces cause nagative**bending****moments**.Page 110

As a preliminary to computing the

the shear diagram marked A1 , A2 , A3 ... the change in

between any two sections equals the corresponding area of the shear diagram ;

hence ...

As a preliminary to computing the

**bending moments**, we determine the areas of ·the shear diagram marked A1 , A2 , A3 ... the change in

**bending moment**between any two sections equals the corresponding area of the shear diagram ;

hence ...

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### Contents

List of Symbols and Abbreviations | xvi |

SIMPLE STRAIN | 26 |

TORSION | 60 |

Copyright | |

18 other sections not shown

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### Common terms and phrases

acting actual allowable angle applied assumed axes axial axis beam beam shown bending bending moment cantilever carries caused centroid circle column compressive compressive stress compute concentrated concrete consider constant couple cross section deflection deformation Determine developed diameter direction distance distributed load effect elastic curve element equal equation equivalent expressed flange flexural stress force formula ft-lb given gives Hence horizontal ILLUSTRATIVE inertia joint lb/ft length limit load material maximum maximum shearing method midspan moments negative neutral axis normal obtain occurs plane plate positive principal Prob PROBLEMS produce radius reaction reduces reference reinforced relation resisting respect resultant rivet segment shaft shearing stress shown in Fig shows slope Solution Solve span steel strain strength supported Table tangent tensile thickness torsional uniformly varies vertical weight weld yield zero