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The Simply Supported Beam Problem:
Concentrated Load Case\
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"Determine the reactions at each of the supports, the shear and bending \
moment, the deflection along the span, and the slope at the endpoints."], 
  "Special1",
  Evaluatable->False,
  AspectRatioFixed->True]
}, Open  ]],

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Cell[TextData[StyleBox["Variables",
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Cell[TextData[
"\tL  = beam length\n\tP  = the concentrated force\n\ta  = x coordinate of \
applied force\n\tRa = the reaction at support A\n\tRb = the reaction at \
support A\n\ty(x)  = deflection as a function of x\n\tV(x)  = shear as a \
function of x\n\tM(x)  = bending moment as a function of x\n\n\tA subscript \
of '1', refers to interval 0 \[LessEqual] x \[LessEqual] a\n\tA subscript of \
'2', refers to interval a \[LessEqual] x \[LessEqual] L\n\nNote that the \
point x = a is shared by intervals 1 & 2."], "Special1",
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    \(Rb =. \), 
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    \(shear2 =. \), 
    \(bending1 =. \), 
    \(bending2 =. \), 
    \(yA =. \), 
    \(yB =. \), 
    \(y =. \), 
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Cell[TextData[{
  StyleBox["Sum Forces & Moments",
    Evaluatable->False,
    AspectRatioFixed->True,
    FontVariations->{"Underline"->True}],
  StyleBox["",
    Evaluatable->False,
    AspectRatioFixed->True]
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Cell[CellGroupData[{

Cell[TextData[
"First we sum forces and moments to deduce the values of the reactions at \
supports A and B:"], "Special1",
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Cell[BoxData[{
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repetitive evaluation under varying conditions:"], "Special1",
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Cell[BoxData[{
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Cell[TextData[
"We now have the reactions at each support in terms of the load, placement \
and beam length.  Now we need to compute the shear, bending moment, beam \
deflection and end slopes.  Before we get into that however, we need to \
establish some sign conventions."], "Special1",
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Cell[TextData[StyleBox["Shear and Bending",
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Cell[TextData[
"Consider the following beam with imaginary cutting sections labeled A' and \
B':"], "Special1",
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