This research aims to introduce a new effective method to analyze and
solve thin slabs that are exposed to heat flux in full over one surface,
whereas the other surface is exposed to heat exchange with the
surrounding.
A new equation was introduc
ed by the author in order to find heat
distribution against the depth of the slab. The new equation is based on
Lablace equations with consideration to heat exchange with the
surrounds. It was found out that when heat exchange reaches zero
(insulated), then the new equation is conformed to other equations in
different references.
Consequently, the coefficient of linear expansion of slab material (α) was
put to function at temperature α(T). Therefore, the deflections of
circular and rectangular simple support slabs were found. Hence, and
according to this, bending moment, shear force and torsional moments
could be found for these slabs.
