For each section illustrated, find the second moment of area, the location of the neutral axis, and the distances from the neutr
al axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where Mz 5 10 kip ? in if the dimensions of the section are given in ips units, or Mz 5 1.13 kN ? m if the dimensions are in SI units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section.
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Answer:
the relation between load , shear force and bending moment is
shear force in a beam is calculated by the differentiation of the loading with respect to distance or length of the beam
Bending moment in a beam is define as the change of shear force diagram with respect to the length of the beam.
and where as
where V is the shear force , x is the distance in the beam , M is the bending moment and w is the loading on the beam.