## Strength of Materials |

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Page 542

Determine the moment of inertia for a triangle of base b and altitude h with

to its base . Solution : Axis Coinciding with the Base . Select the differential

element ...

Determine the moment of inertia for a triangle of base b and altitude h with

**respect**to ( a ) an axis coinciding with its base and ( b ) a centroidal axis parallelto its base . Solution : Axis Coinciding with the Base . Select the differential

element ...

Page 553

However , with

counterclockwise from the original set of axes , the area is in the fourth quadrant .

The new coordinates of dA are x = y and y ' = - 2 , so that with

However , with

**respect**to a new set of axes , marked X ' and Y ' and rotated 90°counterclockwise from the original set of axes , the area is in the fourth quadrant .

The new coordinates of dA are x = y and y ' = - 2 , so that with

**respect**to the new ...Page 558

P - A37 with

A37 . Fig . P - A38 . A38 . Use the result of Prob . A37 to determine the product of

inertia of the shaded area described in Fig . P - A38 with

and ...

P - A37 with

**respect**to the given X and Y axes . Ans . Pay = 100 Y - 이 Fig . P -A37 . Fig . P - A38 . A38 . Use the result of Prob . A37 to determine the product of

inertia of the shaded area described in Fig . P - A38 with

**respect**to the given Xand ...

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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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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