The floor plan shown below is for a flat slab that is supported by square columns of 350mm sides. The grid lines are used to show the edges of the flat slab. The distances between the grids are X1, X2 and Y1, Y2. The values of these distances are to be taken from the last 4 digits of your 8 digits student ID number such that it reads as **X1, X2 Y1, Y2. For example, if your ID number is 12345678 then X1 = 5m, X2 =6m, Y1 = 7m, and Y2 = 8m. If any of these values is less than 4m then you replace it with 4m instead. The centre of the columns do not coincide with the intersection points of the grids, but rather the grid line touches the side of the column as shown. The structural engineer decided to use concrete grade C40/50, but is not sure about the appropriate thickness of the slab that is sufficient to resist the punching shear failure without the need to use shear reinforcement.
Use the finite element (FE) software, MIDAS Gen, or any other FE software to:
1- Create an FE model for the slab.
2- Carry out an FE analysis, considering the boundary conditions that are provided by the columns, and the
Data:
permanent and variable loads as below.
Characteristic permanent loads: self weight plus 1.8 kN/m2 for partitions.
Characteristic variable load: 4 kN/m2
Assume the building is braced against wind loading.
Slab thickness: find the smallest thickness, rounded to the nearest 25mm, such that the vertical deflection does not exceed the permissible limit of EC2.
Pattern loading on the slab must be considered, but not the flexural stiffness of the columns.
Output:
you are required to produce a 1000 words technical report that includes the following:
• A plan of the geometrical model.
• Contour lines of deflected shape, bending stresses and shear stresses.
• A table showing maximum deflections against different slab thicknesses.
• Explanation about the loading used.
• Recommendation on the smallest slab thickness to use, and the reasoning behind it. Extra marks may
be gained by showing the punching shear calculations.
• Extra marks may be gained by showing the effect of refining the mesh.
• Extra marks may be gained by discussing ways of decreasing the self weight of the slab.
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