ENGINEERING MECHANICS: STATICS
14th Edition
ISBN: 9780135681879
Author: HIBBELER
Publisher: PEARSON
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Chapter 9.3, Problem 100P
To determine
The volume of the ring
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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
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]
Chapter 9 Solutions
ENGINEERING MECHANICS: STATICS
Ch. 9.1 - In each case, use the element shown and specify...Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid of the shaded area. Prob....Ch. 9.1 - Locate the center of mass x of the straight rod if...Ch. 9.1 - Locate the centroid of the homogeneous solid...Ch. 9.1 - Locate the centroid z of the homogeneous solid...Ch. 9.1 - Locate the center of mass of the homogeneous rod...Ch. 9.1 - Determine the location (x,y) of the centroid of...Ch. 9.1 - If the rod has a weight per unit length of 100...
Ch. 9.1 - Locate the center of gravity of the homogeneous...Ch. 9.1 - Determine the distance to the center of gravity...Ch. 9.1 - Locate the centroid of the area.Ch. 9.1 - Locate the centroid x of the parabolic area. Prob....Ch. 9.1 - Locate the centroid of the shaded area. Prob. 9-8Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9.1 - Locate the centroid of the area. Probs. 9-13/14Ch. 9.1 - Solve the problem by evaluating the integrals...Ch. 9.1 - Solve the problem by evaluating the integrals...Ch. 9.1 - Locate the centroid of the area. Prob. 9-17Ch. 9.1 - Locate the centroid x of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the shaded area.Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Determine the location of its center of gravity....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the area. Probs. 9-32/33Ch. 9.1 - Locate the centroid of the area. Probs. 9-32/33Ch. 9.1 - Determine the location of its center of mass. Also...Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the circular sector.Ch. 9.1 - Determine the location r of the centroid C for the...Ch. 9.1 - The material is homogeneous. Prob. 9-39Ch. 9.1 - Locate the centroid of the paraboloid. Probs....Ch. 9.1 - Locate the centroid z of the frustum of the...Ch. 9.1 - Determine the centroid of the solid. Prob. 9-42Ch. 9.1 - Locate the centroid of the quarter-cone. Prob....Ch. 9.1 - Determine its mass and the distance z to the...Ch. 9.1 - Locate the centroid z of the volume. Prob. 9-45Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 9.1 - Locate the center of gravity z of the solid. Prob....Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 9.1 - Locate the centroid z of the spherical segment....Ch. 9.1 - Suggestion: Use a triangular plate element...Ch. 9.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid (x,y) of the cross-sectional...Ch. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - Determine the center of mass (x,y,z) of the...Ch. 9.2 - If the mass of the gusset plates at the joints and...Ch. 9.2 - Determine the location (x,y,z) of the centroid of...Ch. 9.2 - Determine the location (x,y) of the centroid of...Ch. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Each plate has a constant width in the z direction...Ch. 9.2 - Neglect the thickness of each segment. The mass...Ch. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Prob. 59PCh. 9.2 - Locate the centroid for the beams cross-sectional...Ch. 9.2 - Determine the location of the centroid C of the...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Determine the location (x,y) of the centroid C of...Ch. 9.2 - The beam is symmetric with respect to the y axis....Ch. 9.2 - Assume all corners are square and neglect the size...Ch. 9.2 - Prob. 68PCh. 9.2 - If it is folded over as shown, determine the...Ch. 9.2 - Locate the center of mass z of the forked level...Ch. 9.2 - Prob. 71PCh. 9.2 - Prob. 72PCh. 9.2 - Prob. 73PCh. 9.2 - The location of the center of gravity of each...Ch. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - Determine the location (x,y,z) of its centroid....Ch. 9.2 - It the cord is cut, the part will rotate about the...Ch. 9.2 - Prob. 78PCh. 9.2 - Prob. 79PCh. 9.2 - Prob. 80PCh. 9.2 - The assembly is made from a steel hemisphere. st =...Ch. 9.2 - The assembly is made from a steel hemisphere, st =...Ch. 9.2 - Prob. 83PCh. 9.2 - Determine the distance h to which a...Ch. 9.2 - Determine the distance z to the centroid of the...Ch. 9.2 - The cylinder and the cone are made from materials...Ch. 9.2 - Major floor loadings in a shop are caused by the...Ch. 9.2 - Determine the distance x to its center of gravity...Ch. 9.2 - Determine the mass and location (x,y,z) of its...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 14FPCh. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 90PCh. 9.3 - Prob. 91PCh. 9.3 - Determine the volume of the storage tank. Probs....Ch. 9.3 - Prob. 93PCh. 9.3 - Determine the total weight of the wall if the...Ch. 9.3 - Determine its volume.Ch. 9.3 - Prob. 96PCh. 9.3 - Determine the volume of concrete needed to...Ch. 9.3 - Do not include the area of the ends in the...Ch. 9.3 - Prob. 99PCh. 9.3 - Prob. 100PCh. 9.3 - Prob. 101PCh. 9.3 - Each gallon of paint can cover 250 ft2. Probs....Ch. 9.3 - Determine the surface area and the volume of the...Ch. 9.3 - Prob. 104PCh. 9.3 - Determine how many joules (J) are radiated within...Ch. 9.3 - Prob. 106PCh. 9.3 - Prob. 107PCh. 9.3 - Prob. 108PCh. 9.3 - Prob. 109PCh. 9.3 - Prob. 110PCh. 9.3 - Prob. 111PCh. 9.3 - Prob. 112PCh. 9.3 - Prob. 113PCh. 9.3 - Prob. 114PCh. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-17Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3.Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-19Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-20Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3....Ch. 9.5 - Determine the magnitude of the resultant force and...Ch. 9.5 - Determine the magnitude of the resultant force and...Ch. 9.5 - The load over the plate varies linearly along the...Ch. 9.5 - The load is defined by the expression p = p0 sin...Ch. 9.5 - If this pressure loading acts uniformly along the...Ch. 9.5 - For the condition of high tide shown, determine...Ch. 9.5 - Determine the resultant force the water exerts on...Ch. 9.5 - If the density of concrete is c = 2.5 Mg/m3, and...Ch. 9.5 - Determine this factor if the concrete has a...Ch. 9.5 - Determine the magnitude of the resultant...Ch. 9.5 - If it is filled to the top, determine the...Ch. 9.5 - Prob. 126PCh. 9.5 - Determine the reactions at these supports due to...Ch. 9.5 - The tank is filled with a liquid that has a...Ch. 9.5 - The gate has a width of 1.5 m. w = 1.0 Mg/m3....Ch. 9.5 - Prob. 130PCh. 9.5 - Locate the centroid x of the area.Ch. 9.5 - Locate the centroid of the area.Ch. 9.5 - Prob. 3RPCh. 9.5 - Locate the centroid of the rod. Prob. R9-4Ch. 9.5 - Prob. 5RPCh. 9.5 - Prob. 6RPCh. 9.5 - Determine the volume of material required to make...Ch. 9.5 - Prob. 8RPCh. 9.5 - Determine the horizontal and vertical components...Ch. 9.5 - Determine the magnitude of the resultant...
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- = 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_forwardI 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_forward
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