Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 11.2, Problem 11.28P
The allowable bending stress is σallow = 30 ksi and the allowable shear stress is τallow = 15 ksi.
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Question 1
A three-blade propeller of a diameter of 2 m has an activity factor AF of 200 and its
ratio of static thrust coefficient to static torque coefficient is 10. The propeller's
integrated lift coefficient is 0.3.
(L=6847 mm, q = 5331 N/mm, M = 1408549 N.mm, and El = 8.6 x 1014 N. mm²)
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Chapter 11 Solutions
Mechanics of Materials (10th Edition)
Ch. 11.2 - Determine the minimum dimension a to the nearest...Ch. 11.2 - of the rod to safely support the load. The rod is...Ch. 11.2 - The wood has an allowable normal stress of allow =...Ch. 11.2 - of the beam's cross section to safely support the...Ch. 11.2 - Determine the minimum dimension b to the nearest...Ch. 11.2 - The beam is made of steel having an allowable...Ch. 11.2 - Determine its dimensions if it is to be...Ch. 11.2 - Determine the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - If the allowable bending stress is allow = 22 ksi...
Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - The allowable bending stress is allow = 22 ksi and...Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The beam has an allowable normal stress of allow =...Ch. 11.2 - The beam has an allowable normal stress of allow...Ch. 11.2 - If each nail can support a shear force of 200 lb....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - Determine its height h so that it simultaneously...Ch. 11.2 - The beam is constructed from four boards. If each...Ch. 11.2 - Prob. 11.15PCh. 11.2 - The beam has an allowable normal stress of allow....Ch. 11.2 - Determine the maximum cable force P that can...Ch. 11.2 - to safely support the load. The wood has an...Ch. 11.2 - and the wood has an allowable normal stress of...Ch. 11.2 - If the glue can support a shear stress of allow, =...Ch. 11.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 11.2 - Determine the width b if the height h=2b.Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - Determine the maximum load that can safely be...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - The tapered beam supports a uniform distributed...Ch. 11.4 - The tapered beam supports the concentrated force P...Ch. 11.4 - The beam is made from a plate that has a constant...Ch. 11.4 - Determine the variation in the depth d of a...Ch. 11.4 - Determine the variation of the radius r of the...Ch. 11.4 - Prob. 11.37PCh. 11.4 - Determine the variation in the width b as a...Ch. 11.4 - The tubular shaft has an inner diameter of 15 mm....Ch. 11.4 - Prob. 11.40PCh. 11.4 - Prob. 11.41PCh. 11.4 - The pulleys fixed to the shaft are loaded as...Ch. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.3RPCh. 11 - Determine the shaft's diameter to the nearest...Ch. 11 - Select the lightest-weight wide-flange beam from...Ch. 11 - The simply supported joist is used in the...Ch. 11 - The simply supported joist is used in the...Ch. 11 - by 4-in. pieces of wood braced as shown. If the...
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- Calculate the maximum shear stress Tmax at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places. Select one: ○ 1.2681.818 O 2. 25745.455 O 3. 17163.636 O 4. 10727.273 ○ 5.5363.636arrow_forwardIf L-719.01 mm, = 7839.63 N/m³, the normal stress σ caused by self-weight at the location of the maximum normal stress in the bar can be calculated as (Please select the correct value of σ given in Pa and rounded to three decimal places.) Select one: ○ 1. 1409.193 2. 845.516 O 3. 11273.545 ○ 4.8455.159 ○ 5.4509.418 6. 2818.386 7.5636.772arrow_forwardTo calculate the rotation at Point B, a suitable virtual structure needs to be created. Which equation in the following choices most accurately represents the functional relationship between the bending moment, Mv2 ( Units: N.mm), of the virtual structure and the spatial coordinate x (Units: mm) if the applied unit virtual moment is clockwise? Select one: O 1. Mv2 1.000 O 2. Mv2=x+1.000 O 3. Mv2=x+0.000 4. Mv2 = -x-1.000 O 5. Mv2 -1.000 6. Mv2=-x+0.000arrow_forward
- The vertical deflection at Point B can be calculated as ( The following choices are provided in units of mm and rounded to three decimal places ; the downward deflection is negative and upward deflection is positive. ) Select one: 1. 1703.065 2. -1703.065 3. -2043.679 4.1362.452 5. -1362.452 6. 2043.679arrow_forwardThe second moments of area about z-axis, /z, and the second moments of area about y-axis, ly, can be calculated as Select one: O 1. I = Iz ○ 2. Ly ○ 3. ○ 4. ○ 5. = = Iz = *D' 64 I₁ = D, Iz Ly Ly = 32 *D' = = 3 Iz = *D' 32 = *D' O 6. Iy=D, Ly = D², Iz = 32 O 7. Ly = Iz D = 64 32arrow_forward[If L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam.] Step -2 Which equation in the following choices most accurately represents the functional relationship between the value of the slope O (Units: Radian) at half length (x = L/2) of the beam and the second moment of area about z-axis, Izz (Units: mm²), of the cross section? (Please note that " X = L/2" is the same as "X = L ÷ 2" .) Select one: O 1.0 448787.925/Izz O 2.0 279167.292/Izz O 3.0 38871.395/Izz O 4.0 114847.304/Izz O 5.0 176688.160/Izz O 6.0 609574.150/Izz O 7.0 70675.264/Izzarrow_forward
- Use the principle of virtual work to determine the vertical deflection and rotation at tip (Point B) of the cantilever shown below. (L=6847 mm, q = 5331 N/mm, M = 1408549 N.mm, and El = 8.6 x 1014 N. mm²) q Y M X A ΕΙ B L Step -1 Let the coordinates defined with origin located at B and x-axis pointing to the Left and Y-axis pointing upward. The bending moment, M (Units: N.mm), in the beam as a function of spatial coordinate x(Units: mm) can be most accurately described by Select one: 1. M=1126839.200 +2132.400*x*x 2. M=-1408549.000 - 3198.600*x*x 3. M=-1408549.000-2665.500*x*x 4. M=-1408549.000-2132.400*x*x 5. M= -1408549.000+2665.500*x*x 6. M= 1408549.000 + 2665.500*x*x 7. M= 1408549.000-2665.500*x*xarrow_forwardCalculate the principal stress σ at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places Select one: O 1.5363.64 O 2. 12872.727 3.9118.182 4. 10727.273 5. 16090.909 6. 2681.818arrow_forwardQuestion2 The mission profile for a jet driven aircraft consists of the following segments: engine start and warm-up, taxi, take-off, climb to the cruise altitude of 35000 ft, descend to 10000 ft, one hour loiter at this altitude at 60% of the cruise speed, flight at loiter speed and altitude to an alternate airport (100 nm), descend to landing approach condition followed by the final landing, taxi and shutdown. The cruise Mach number is 0.8. No provisions are made for the reserved fuel or any trapped oil and fuel. The aircraft carries 200 people (including pilots and the cabin crew) at 175 lb each and 90 lb baggage each. This aircraft has a wing area of 2000 ft² L/D at cruise L/D at 10000ft flight Table Q2 20 16 0.43 lb/hr/lb 0.50 lb/hr/lb C: Specific Fuel Consumption at cruise: C: Specific Fuel Consumption at 10000 ft flight: Weight ratios Engine Start and warm-up Taxi Take-off Climb Descent Landing, taxi and shutdown 0.992 0.996 0.996 0.996 0.992 0.992 Question 2 continues on the…arrow_forward
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