Consider a truss as shown in the following figure. The length of each member is 2 m. The area of cross section of each member is 100 \(mm^2\) and Young's modulus is \(2 x 10^5 N/mm^2\). The vertical deflection at C is .................... mm (round off to one decimal place)
A marker buoy of mass 1500 kg floating in sea water of density 1025 kg/m³, consists of a cylinder and cone as shown in the following figure. The buoy is suitably ballasted to make it stable in the floating condition. The buoy is subjected to an external periodic excitation force in Newton, \(F_e(t) = 2000 \sin (1.25 t)\). Ignore damping effects and assume g = 9.81 m/s², added mass = 25% of the mass of the buoy. The maximum heave response amplitude of the buoy is .................... m (round off to one decimal place)
An air-standard diesel cycle, as shown in the following figure with a compression ratio of 16, has an initial pressure 0.9 bar and temperature 300 K. Assume \(\gamma = 1.4\) and \(C_p = 1.004\) kJ/kg-K. If the heat added during the constant pressure process is 900 kJ/kg, then the peak temperature during the cycle is .................... K (round off to the nearest integer)
A simple vapor compression refrigeration cycle with ammonia as the working fluid operates between 30°C and -10 °C as shown in the following figure. The saturated liquid and vapor enthalpies at 30 °C and -10 °C are provided in the table below. If the COP of the cycle is 5.6, the specific enthalpy at the inlet to the condenser is .................... kJ/kg (round off to the nearest integer)
A vessel of 100 m length has a constant triangular cross-section with a depth of 12 m and breadth of 15 m as shown in following figure. The vessel has a vertical center of gravity (KG) = 6.675 m. The minimum draft (d), at which the vessel will become stable is .................... m (round off to one decimal place)
A simply supported beam with an overhang has experienced the bending moment as shown below. The corresponding concentrated load is
A 'T' section is welded to the flat bottom shell plate of a ship as shown in the following figure (bottom shell longitudinal). The neutral axis of the ship's midship section is 14 m above the bottom shell plate. The distance (X) of neutral axis of the 'T' section from the ship's neutral axis is .................... m (round off to two decimal places)
A long body with elliptical cross section is held perpendicular to a 2D uniform steady flow field of horizontal velocity \(U_\infty\) as shown in the following figure. The heights of the control volume (bounded by the dashed lines) at the inlet and outlet are \(2h\) and \(4h\), respectively. The profile of the horizontal velocity far downstream is given by \(U(y) = \frac{U_\infty y}{2h}\). The density of the fluid is \(\rho\). The magnitude of the drag force per unit length acting on the body is
A fully filled water tank OABCD has a circular arc (AB) of radius 10 m at the bottom as shown in the following figure. The height BC is 10 m. The length OA and CD are 5 m and 15 m, respectively. The density of the water is \(\rho\) kg/m³ and the acceleration due to gravity is \(g\) m/s². The magnitude of the resultant hydrostatic force per unit width acting on AB in N/m lies between
The trajectory of a model ship during a pure sway PMM test is shown below. The steady forward speed, u is 2.0 m/s. The maximum amplitude of sway motion, \(y_{Max}\) is 0.5 m and its period is 8 s. The magnitude of maximum drift angle, in degrees (round off to the nearest integer), and the magnitude of maximum sway acceleration, in m/s\(^2\) (round off to one decimal place), of the model respectively are
The layout of a Tension Leg Platform (TLP) is shown in the following figure. It consists of four interconnected pontoons at the bottom and four cylindrical columns, which support the working platform at the top. The density of sea water is 1025 kg/m\(^3\). Neglect the weight and buoyancy of the tethers. During operation, the maximum mass (in metric tonnes) of the entire structure must lie between
Two 30 m long bilge keels of mass 40 tonnes each, are fitted at the turn of the bilge on port and starboard sides of a ship. The cross section of the bilge keel is shown in the following figure. Assume density of water = 1000 kg/m\(^3\). If the TPC (tonnes per centimeter) immersion of the ship is 50, then the change in the mean draft is .................... cm
A rectangular barge is freely floating in a drydock as shown in the following figure. For longitudinal strength analysis which of the following are TRUE?
The buoyancy curve variation of a ship floating in still water and in waves is shown in the following figure. The total area under each curve is the same. The cases 'X' and 'Y' correspond to
A closed system undergoing a thermodynamic cycle consisting of two reversible isothermal and two reversible adiabatic processes is shown in the following figure. If \(\delta Q\) is the infinitesimal heat transfer and T is the instantaneous temperature, then the value of the contour integral \( \oint \frac{\delta Q}{T} \) is
The time series of rudder angle (\(\delta\)) and heading angle (\(\psi\)) during a ship's maneuver are shown in the following figure. Identify the maneuver and the associated parameters (p, q, r and s)
In the following "GZ (righting lever arm)" versus "angle of heel" curve, the point 'X' indicates
