EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 9, Problem 10RP
To determine
The magnitude of the resultant hydrostatic force acting per foot of length on the seawall.
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1. A simply supported shaft is shown in Figure 1 with wo = 25 N/cm and M = 20 N cm. Use
singularity functions to determine the reactions at the supports. Assume EI = 1000 kN cm².
M
Wo
0 10 20 30 40 50 60 70
80 90
100 110 cm
Figure 1 - Problem 1
2. A support hook was formed from a rectangular bar. Find the stresses at the inner and outer
surfaces at sections just above and just below O-B.
210 mm
A distillation column with a total condenser and a partial reboiler is separating ethanol andwater at 1.0 atm. Feed is 0.32 mol fraction ethanol and it enters as a saturated liquid at 100mol/s on the optimum plate. The distillate product is a saturated liquid with 80 mol% ethanol.The condenser removes 5615 kW. The bottoms product is 0.05 mol fraction ethanol. AssumeCMO is valid.(a) Find the number of equilibrium stages for this separation. [6 + PR](b) Find how much larger the actual reflux ratio, R, used is than Rmin, i.e. R/Rmin. [3]Note: the heats of vaporization of ethanol and water are λe = 38.58 and λw = 40.645
Chapter 9 Solutions
EBK ENGINEERING MECHANICS
Ch. 9 - Determine the centroid (x,y) of the shaded area....Ch. 9 - Determine the centroid (x,y) of the shaded area....Ch. 9 - Determine the centroid of the shaded area. Prob....Ch. 9 - Locate the centroid of the homogeneous solid...Ch. 9 - Locate the centroid z of the homogeneous solid...Ch. 9 - Locate the center of gravity x of the homogeneous...Ch. 9 - Locate the center of gravity of the homogeneous...Ch. 9 - Locate the centroid of the area.Ch. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....
Ch. 9 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9 - Locate the centroid of the area. Probs. 9-11/12Ch. 9 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9 - Locate the centroid of the area. Probs. 9-13/14Ch. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 23PCh. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 25PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 40PCh. 9 - Prob. 50PCh. 9 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9 - Prob. 8FPCh. 9 - Prob. 9FPCh. 9 - Prob. 10FPCh. 9 - Prob. 11FPCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - Prob. 54PCh. 9 - Prob. 56PCh. 9 - Prob. 60PCh. 9 - Locate the centroid (x,y) of the shaded area....Ch. 9 - Locate the centroid of the cross-sectional area...Ch. 9 - Prob. 72PCh. 9 - The sheet metal part has the dimensions shown....Ch. 9 - Prob. 77PCh. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 87PCh. 9 - Prob. 89PCh. 9 - Prob. 13FPCh. 9 - Prob. 14FPCh. 9 - Prob. 15FPCh. 9 - Prob. 16FPCh. 9 - Prob. 91PCh. 9 - Prob. 92PCh. 9 - Prob. 95PCh. 9 - Prob. 96PCh. 9 - Determine the volume of concrete needed to...Ch. 9 - Determine the surface area of the curb. Do not...Ch. 9 - Prob. 103PCh. 9 - Prob. 105PCh. 9 - Prob. 107PCh. 9 - Prob. 113PCh. 9 - Determine the magnitude of the hydrostatic force...Ch. 9 - Determine the magnitude of the hydrostatic force...Ch. 9 - Prob. 19FPCh. 9 - Prob. 20FPCh. 9 - Prob. 21FPCh. 9 - The load over the plate varies linearly along the...Ch. 9 - Prob. 118PCh. 9 - Prob. 119PCh. 9 - When the tide water A subsides, the tide gate...Ch. 9 - The tank is filled with water to a depth of d = 4...Ch. 9 - Prob. 127PCh. 9 - Prob. 128PCh. 9 - Prob. 1RPCh. 9 - Prob. 2RPCh. 9 - Prob. 3RPCh. 9 - Prob. 4RPCh. 9 - Prob. 5RPCh. 9 - Prob. 6RPCh. 9 - Prob. 7RPCh. 9 - Prob. 8RPCh. 9 - The gate AB is 8 m wide. Determine the horizontal...Ch. 9 - Prob. 10RP
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- We have a feed that is a binary mixture of methanol and water (60.0 mol% methanol) that issent to a system of two flash drums hooked together. The vapor from the first drum is cooled,which partially condenses the vapor, and then is fed to the second flash drum. Both drumsoperate at 1.0 atm and are adiabatic. The feed to the first drum is 1000 kmol/hr. We desire aliquid product from the first drum that is 35.0 mol% methanol. The second drum operates at afraction vaporized of (V/F)2 = 0.25.(a) Find the liquid flow rate leaving the first flash drum, L1 (kmol/hr). [286 kmol/hr](b) Find the vapor composition leaving the second flash drum, y2. [0.85]arrow_forward= The steel curved bar shown has rectangular cross-section with a radial height h = 6 mm and thickness b = 4mm. The radius of the centroidal axis is R = 80 mm. A force P = 10 N is applied as shown. Assume the steel modulus of 207,000 MPa and G = 79.3(103) MPa, repectively. elasticity and shear modulus E = Find the vertical deflection at point B. Use Castigliano's method for a curved flexural member and since R/h > 10, neglect the effect of shear and axial load, thereby assuming that deflection is due to merely the bending moment. Note the inner and outer radii of the curves bar are: r = 80 + ½ (6) = 83 mm, r₁ = 80 − ½ (6) = 77 mm 2 2 Sπ/2 sin² 0 d = √π/² cos² 0 d0 = Π 0 4 大 C R B Parrow_forwardThe steel eyebolt shown in the figure is loaded with a force F = 75 lb. The eyebolt is formed from round wire of diameter d = 0.25 in to a radius R₁ = 0.50 in in the eye and at the shank. Estimate the stresses at the inner and outer surfaces at section A-A. Notice at the section A-A: r₁ = 0.5 in, ro = 0.75 in rc = 0.5 + 0.125 = 0.625 in Ri 200 F FAarrow_forward
- 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 attachedarrow_forwardProblem 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.arrow_forwardA 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.arrow_forward
- 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:arrow_forward|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…arrow_forwardOn 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 Courarrow_forward
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