a.)Macaulay functions are used to represent quantities that “begin” at some particular point on the…

a.)First Moment-Area Theorem The angle between the tangents, denoted, is equal to the difference between  and …

a.)    To obtain the equation of the deflection curve, we must express the deflection vas a…

a)      When a beam with a straight longitudinal axis is loaded by lateral forces, the axis…

a)      Beams that are fabricated of more than one material are called composite beams. b)       ii)      Assumptions…

a)      When a beam is in pure bending, the only stress resultants are the bending moments…

a)      ) b)      Now combining Strain curvature relation and Hooke’s Law we can get the Normal Stresses In…

a)       i)        Curvature is a measure of how sharply a beam is bent ii)      If the load…

Shear Force This result means that an abrupt change in the shear force occurs at…

 x direction due to  is  and due to  is.  StrainStressx-directiony-directionz-direction Similarly for shear stress b.)Similarly Hooke’s law for…