Chapter 38, Problem 7CQ

I have the fallowing question and solution from a reeds naval arc book. Im just confused as to where this answer came from and the formulas used. Wondering if i could have this answer/ solution broken down and explained in detail.    A ship of 7000 tonne displacement has a waterplane areaof 1500 m2. In passing from sea water into river water of1005 kg/m3 there is an increase in draught of 10 cm. Find the Idensity of the sea water.  picture of the "answer" is attached

Problem A2 long steel tube has a rectangular cross-section with outer dimensions of 20 x 20 mm and a uniform wall thickness of 2. The tube is twisted along its length with torque, T. The tube material is 1045 CD steel with shear yield strength of S,, =315 MPa. Assume shear modulus, G = 79.3GPa. (a) Estimate the maximum torque that can be applied without yielding (b) Estimate the torque required to produce 5 degrees total angle of twist over the length of the tube. (c) What is the maximum torque that can be applied without yielding, if a solid rectangular shaft with dimensions of 20 x 20 is used? You may use the exact solution.

A simply supported beam is loaded as shown. Considering symmetry, the reactions at supports A and B are R₁ = R₂ = wa 2 Using the singularity method, determine the shear force V along the length of the beam as a function of distance x from the support A. A B Ir. 2a За W C R₁₂ x 2. Using the singularity method, determine the bending M along the length of the beam as a function of distance x, from the support A. 3. Using the singularity method, determine the beam slope and deflection along the length of the beam as a function of the distance x, from the support A. Assume the material modulus of elasticity, E and the moment of inertia of the beam cross-section, I are given.

A steel tube, 2 m long, has a rectangular cross-section with outer dimensions of 20 × 30 mm and a uniform wall thickness of 1 mm. The tube is twisted along its length with torque, T. The tube material is 1018 CD steel with shear yield strength of Ssy =185 MPa. Assume shear modulus, G = 79.3GPa. (a) Estimate the maximum torque that can be applied without yielding.- (b) Estimate the torque required to produce 3 degrees total angle of twist over the length of the tube. (c) What is the maximum torque that can be applied without yielding, if a solid rectangular shaft with dimensions of 20 x 30 mm is used? You may use the exact solution:

|The typical cruising altitude of a commercial jet airliner is 10,700 m above sea level where the local atmospheric temperature is 219 K, and the pressure is 0.25 bar. The aircraft utilizes a cold air-standard Brayton cycle as shown with a volume flow rate of 1450 m³/s. The compressor pressure ratio is 50, and the maximum cycle temperature is 1700 K. The compressor and turbine isentropic efficiencies are 90%. Neglect kinetic and potential energy effects in this problem. Assume constant specific heats with k=1.4, Ra=0.287 kJ/kg- K, Cp=1.0045 kJ/kg-K, and cv = 0.7175 kJ/kg-K. a) Draw a T-s diagram for this cycle on the diagram provided. b) Fill in the table below with the missing information. T[K] Heat exchanger Heat exchanger State P [bar] 1 0.25 2s 2 3 4s 4 Turbine c) (5pts) Determine the inlet air density in [kg/m³] (at state 1), and the system mass flowrate in [kg/s]. d) (10pts) Determine the net power developed in [MW]. Be sure to draw each component you are analyzing, define the…

On the axis provide, draw a corresponding T-s diagram for the Brayton cycle shown given the following information: iv. V. vi. Compressor 1 is reversible, but Compressor 2 and the turbine are irreversible. The pressure drops through the regenerator are combustors are negligible. The pressures at state (1) and state (10) are equal to the atmospheric pressure. T 8 Regenerator fmm mmm Qin Combustor Compressor Compressor Turbine W cycle Intercooler mm Cour

For parts a) through e), consider the two power cycles shown in the diagram at the right, Cycle A: 1-2-3-4-1, and Cycle B: 1-2-3-4-1. a) What type of power cycles are shown? b) Which of cycles has a higher efficiency? c) Which of the cycles has a higher work output? d) For either cycle, would increasing the maximum cycle temperature (3) increase or decrease the efficiency? Cycle A: 1-2-3-4-1 3 3 Cycle B: 1-2-3-4-1 1 e) For either cycle, would decreasing the minimum cycle temperature (1) increase or decrease the efficiency? f) On the axis provide, draw a corresponding T-s diagram for the Rankine cycle shown given the following information: i. All turbines and pumps in the system are irreversible. ii. 111. The turbine inlet conditions (states 1 and 2) are superheated, while the 2nd stage turbine outlet is a saturated mixture. The condenser outlet state (4) and the CFWH outlet state (7) are saturated liquid. 2 Steam generator Condenser www Closed feedwater heater (1-y) T Pump Trap 8 (y) S

Problem 4 A glass sphere with a 30 mm diameter is pressed against a flat carbon steel plate with a force of 5 N. Assume. For glass: E = 46.2 GPa, -0.245 and for steel E, 207 GPa, (a) Determine the radius of the contact surface. -0.292 (4 (b) Determine the maximum pressure at the contact surface. (4 (c) Calculate the principal stresses d., and a, in the glass sphere at the depth=0.037 mm. (d) Maximum shear stress in the glass sphere at the depth: 0.037 mm. (t (4 (e) Draw the Mohr circles for the stresses and show the point corresponding to the maximum shear stress. (3

Steam is the working fluid in the vapor power cycle with reheat shown in the figure. The mass flow rate is 0.5 kg/s, and the turbines and pump operate isentropically. The temperature at the inlet of both turbine stages (i.e. states 1 and 3) is 400 °C The condenser outlet is saturated liquid. 1. Fill in the table below with the missing information. Reheat section High- pressure turbine State P [bar] h [kJ/kg] s [kJ/kg-K] x [-] Steam generator 1 140 Condenser Pump 2 40 5 3 4 4 5 6 2.Draw a T-s diagram for this cycle on the diagram provided 3. Determine the net power output of this cycle in [kW]. Be sure to draw the component(s) you are analyzing, define the system, and apply conservation of energy in the space below. 4.Determine the total heat transferred into the system in [kW]. Be sure to draw the component you are analyzing, define the system, and apply conservation of energy in the space bel 5.Determine the cycle efficiency. Low-pressure turbine