CIVE 310 – Final Project
Consider a long plate (L>>w) shown in Figure 1 that is supported at its ends (by beams) and
subjected to a load that is uniformly distributed over the upper face as indicated. The plate is
metallic with E = 210 kN/mm2. The span is L = 10 m, w = 2 m and F = 7.5 kN/m2
Figure 1
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5)
Find the deflection curve (elastic curve) along the span L (in terms of t)
Determine the required slab thickness if the maximum allowable deflection is L/250.
Where might the tensile cracks initiate for this plate (location(s))? Explain.
If you want to monitor the deformation of this slab, what do you suggest using and how?
To reduce cost, you need to reduce the slab thickness. One suggestion is to move the
supports inwards by a distance a, as shown in the Figure 1.
Figure 2
What should be the value of a to get the decrease the maximum deflection to a minimum
value? What will be the slab thickness in this case and what is the percentage of reduction
slab material mass?
6) For the new design, where do you expect to see small tensile cracks (location(s))?
Explain.
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