Damage to the columns most exposed to explosion Charge (mass / kg) φj1,C1 φj2,C1 φj1,C2 φj2,C2 φd,PC1 φd,PC2 degree 1 0.0044 0.0226 0.026 0.1632 2.00 5.00 10 0.0539 0.0745 0.8674 1.8231 2.00 5.00 100 0.5901 1.1408 2.8693 5.1921 2.00 5.00" these are the values for the charge weight of 1, 10, 100 kg TNT at a standoff distance of 1.2m for M30.
Rizwan Ullah, let's walk through a simplified example of how you might calculate the column rotation and displacement for a specific explosion scenario using basic engineering principles. Keep in mind that real-world blast analysis is much more complex and typically requires specialized software and expertise. For example, the scenario is, "you have a column made of M30 concrete material, and you want to calculate the column rotation and displacement when subjected to a 10 kg TNT explosive charge at a standoff distance of 1.2 meters", and you assumed that, " The explosion can be represented by a simplified pressure-time curve & the column is a simple, uniform shape (e.g., a rectangular cross-section). What you need to do is:
- Structural Model: Create a finite element model of the column and its surroundings. Define the column's geometry, material properties (M30 concrete), and boundary conditions (how it's connected to the ground and surrounding structure).
- Define Explosion Load: Assume you have a pressure-time curve that describes the blast wave generated by a 10 kg TNT charge at a distance of 1.2 meters.
- Load Application: Apply the pressure-time curve as a dynamic load to the column. This load represents the blast pressure acting on the column's surface.
- Run Simulation: Run the simulation using structural analysis software. The software will solve the equations of motion for the column subjected to the blast load represents how the pressure varies with time.
After completion of simulation (Let's say you are simulating the model in ABAQUS software), you have to extract the following data from the simulation results, then, you can get these values:
- Column Rotation (φj1,C1 and φj2,C1): These values represent the angular displacement of the column at two points (j1 and j2) along its height. They can be calculated by measuring the change in orientation of these points relative to their initial positions.
- Column Displacement (φj1,C2 and φj2,C2): These values represent the linear displacement of the column at points j1 and j2. They can be calculated by measuring how far these points have moved from their initial positions.
After calculations, compare the calculated column rotations and displacements to allowable limits or structural design criteria. If the values exceed acceptable limits, the column may be considered damaged. This is a highly simplified example for illustrative purposes. Real-world blast analysis involves much more complex factors, including the behavior of materials under high pressures, dynamic response analysis, and often the use of specialized software and validated material models. I hope it helps, for more let's connect on WhatsApp: https://wa.me/+923440907874 to discuss further. Good luck !
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