Computer Science

Question $1$: Structural Analysis of a Truss

Part A: Determine the reactions at the supports of a truss with a span of $10$ meters and a height of $5$ meters. The truss is subjected to a uniform load of $2$ kN$/$m$.$

Part B: Use the method of joints to find the forces in each member of the truss.

Part C: Identify the zero$-$force members in the truss.

Part D: Calculate the deflection at the midpoint of the truss using the virtual work method.

Part E: Determine the maximum compressive and tensile forces in the truss members.

Question $2$: Concrete Mix Design

Part A: Design a concrete mix for an M$40$ grade concrete using the IS method. Specify the proportions of cement, sand, aggregate, and water.

Part B: Calculate the amount of materials required for $1$ cubic meter of concrete.

Part C: Determine the slump value for the designed mix and describe the procedure to measure it$.$

Part D: Perform a mix design adjustment for a specific workability requirement.

Part E: Calculate the $28-$day compressive strength of the concrete.

Question $3$: Soil Mechanics and Foundation Design

Part A: Calculate the bearing capacity of a shallow foundation on a sandy soil using Terzaghis bearing capacity theory. Given: cohesion $=0,$ angle of internal friction $=30,$ unit weight of soil $=18$ kN$/$m$,$ foundation width $=2$ m$,$ and depth of foundation $=1$ m$.$

Part B: Determine the settlement of the foundation if the elastic modulus of the soil is $25$ MPa and the Poissons ratio is $0\mathrm{.}3.$

Part C: Calculate the factor of safety against shear failure.

Part D: Design a rectangular footing for a column carrying a load of $1000$ kN$.$ Specify the dimensions and reinforcement details.

Part E: Perform a stability analysis of the footing against sliding and overturning.

Question $4$: Hydraulics and Fluid Mechanics

Part A: Calculate the flow rate through a rectangular open channel with a width of $3$ meters and a flow depth of $2$ meters. The slope of the channel is $0\mathrm{.}001,$ and the Mannings coefficient is $0\mathrm{.}015.$

Part B: Determine the critical depth and critical flow rate for the given channel.

Part C: Calculate the energy loss due to friction for a $500-$meter length of the channel.

Part D: Perform a hydraulic jump analysis and determine the sequent depths.

Part E: Design a suitable spillway for the channel to manage excess flow.

Question $5$: Environmental Engineering

Part A: Design a sedimentation tank for a water treatment plant with a flow rate of $5000$ m$/$day$.$ Specify the dimensions and detention time.

Part B: Calculate the efficiency of the sedimentation tank using the removal rate of particles with a specific gravity of $2\mathrm{.}65$ and a diameter of $0\mathrm{.}01$ mm$.$

Part C: Determine the sludge volume produced in the tank per day.

Part D: Design the sludge removal mechanism for the sedimentation tank.

Part E: Evaluate the overall treatment efficiency of the water treatment plant.

Question $6$: Transportation Engineering

Part A: Design a horizontal curve for a highway with a design speed of $100$ km$/$h and a superelevation rate of $6\%.$ Calculate the radius of the curve and the length of the transition curve.

Part B: Determine the stopping sight distance for the given design speed.

Part C: Calculate the required sight distance for a vertical curve with a grade of $+3\%$ and $-2\%.$

Part D: Design the pavement thickness for the highway using the AASHTO method. Specify the layer thicknesses and materials.

Part E: Perform a traffic analysis to determine the level of service for the

What is machine learning?