Exams › GATE › Technical

A cylindrical job with diameter 200 mm and height 100 mm is to be cast using the modulus method of riser design. Assume that the bottom surface of the cylindrical riser does not contribute to the cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in mm) is

1. 150
2. 200
3. 100
4. 125

Correct answer: 100

Solution

In modulus method, the riser modulus is taken proportional to the casting modulus, typically with a factor depending on the design criterion. For a cylindrical riser with diameter equal to height and bottom surface neglected, the geometry leads to a height of 100 mm. This matches the required modulus relation for the given casting.

Related GATE Technical questions

• Consider sand casting of a cube of edge length \(a\). A cylindrical riser is placed at the top of the casting. Assume solidification time, \(t_s \propto V/A\), where \(V\) is the volume and \(A\) is the total surface area dissipating heat. If the top of the riser is insulated, which of the following radius/radii of riser is/are acceptable?
• The three-dimensional state of stress at a point is given by $\sigma = \begin{bmatrix}10 & 0 & 0\\0 & 40 & 0\\0 & 0 & 0\end{bmatrix}$ MPa. The maximum shear stress at the point is
• Consider the statements P and Q. P: Client’s preliminary estimate is used for budgeting costs toward the end of the planning and design phase. Q: Client’s detailed estimate is used for controlling costs during the execution of the project. Which one of the following options is correct?
• The following figure shows the arrangement of formwork for casting a cantilever RC beam. The correct sequence of removing the shores/props is
• A 2 m wide strip footing is founded at a depth of 1.5 m below ground level in a homogeneous pure clay bed. The clay bed has unit cohesion of 40 kPa. Due to seasonal fluctuations of the water table from peak summer to peak monsoon period, the net ultimate bearing capacity of the footing, as per Terzaghi’s theory, will
• Consider the statements P and Q. P: Soil particles formed by mechanical weathering and close to their origin are generally subrounded. Q: The activity of clay physically signifies its swell potential. Which one of the following options is correct?

⚔️ Practice GATE Technical free + battle 1v1 →