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You can use Extrusion:

S1 = Plot3D[-69*(Cosh[(3*x)/299] - 1) + 200, {x, -200, 200}, {y, -1, 1}, 
 Mesh -> None, BoxRatios -> {1, .1, 1}, 
 ColorFunction -> "Rainbow", PlotPoints -> 40, Extrusion -> 10];
Show[{S1}, Boxed -> False, Axes -> False]

enter image description here

Related:

Sharp Edges in ContourPlot3D with Thickness settingSharp Edges in ContourPlot3D with Thickness setting

You can use Extrusion:

S1 = Plot3D[-69*(Cosh[(3*x)/299] - 1) + 200, {x, -200, 200}, {y, -1, 1}, 
 Mesh -> None, BoxRatios -> {1, .1, 1}, 
 ColorFunction -> "Rainbow", PlotPoints -> 40, Extrusion -> 10];
Show[{S1}, Boxed -> False, Axes -> False]

enter image description here

Related:

Sharp Edges in ContourPlot3D with Thickness setting

You can use Extrusion:

S1 = Plot3D[-69*(Cosh[(3*x)/299] - 1) + 200, {x, -200, 200}, {y, -1, 1}, 
 Mesh -> None, BoxRatios -> {1, .1, 1}, 
 ColorFunction -> "Rainbow", PlotPoints -> 40, Extrusion -> 10];
Show[{S1}, Boxed -> False, Axes -> False]

enter image description here

Related:

Sharp Edges in ContourPlot3D with Thickness setting

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You can use Extrusion:

S1 = Plot3D[-69*(Cosh[(3*x)/299] - 1) + 200, {x, -200, 200}, {y, -1, 1}, 
 Mesh -> None, BoxRatios -> {1, .1, 1}, 
 ColorFunction -> "Rainbow", PlotPoints -> 40, Extrusion -> 10];
Show[{S1}, Boxed -> False, Axes -> False]

enter image description here

Related:

Sharp Edges in ContourPlot3D with Thickness setting