Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 5, Problem 5.41SP
Determine the pin reactions at pins A, B, and C in the frame shown. Neglect the weights of the members.
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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
○ 5.5363.636
If 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
7.5636.772
To 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+0.000
Chapter 5 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 5 - through 5.7 Calculate the forces in all members of...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Determine the forces in members CD, DH, and HI for...Ch. 5 - Determine the forces in members BC, BE, and FE for...Ch. 5 - Determine the forces in members BC, CH, and CG in...
Ch. 5 - For the Howe roof truss shown, determine the...Ch. 5 - Determine the forces in members DE, CE, and BC in...Ch. 5 - Calculate the forces in members BC, BG, and FG for...Ch. 5 - Determine the forces in members CD, BD, BE, and CB...Ch. 5 - A pin-connected A-frame supports a load, as shown....Ch. 5 - Determine the pin reactions at pins A, B, and C in...Ch. 5 - Calculate the pin reactions at each of the pins in...Ch. 5 - A bracket is pin connected at points A, B, and D...Ch. 5 - A pin-connected frame is loaded, as shown....Ch. 5 - The cylinder shown has a mass of 500 kg. Determine...Ch. 5 - A simple frame is pin connected at points A, B,...Ch. 5 - Using the method of sections, determine the forces...Ch. 5 - Using the method of sections, determine the forces...Ch. 5 - through 5.31 Calculate the forces in all members...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problem 5.32 through 5.38, Calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problem 5.32 through 5.38 , Calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - A pin-connected crane framework is loaded and...Ch. 5 - Calculate the pin reactions at pins A, B, and D in...Ch. 5 - Determine the pin reactions at pins A, B, and C in...Ch. 5 - The wall bracket shown is pin-connected at points...Ch. 5 - Calculate the pin reactions at each of the pins in...Ch. 5 - The A-frame shown is pin-connected at A,B,C, and...Ch. 5 - The tongs shown are used to grip an object. For an...Ch. 5 - A toggle joint is a mechanism by which a...Ch. 5 - In the toggle joint of Problem 5.46 , assume that...Ch. 5 -
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- 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
- Calculate the principal stress σ1_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 1.25745.455 O 2. 32181.818 3. 21454.545 4. 17163.636 5. 12872.727arrow_forwardCalculate the Von-Mises effective stress 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 1.27870.272 O2. 18580.181 3. 11148.109 O 4. 14864.145 O 5.22296.218arrow_forwardA bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45°arrow_forward
- A close end tube of thin-walled circular section may be subjected to torque Tand internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by the torque can be calculated as σ = T/(2πR²t), where the mean radius of the cross section is R(i.e., the radius of the centreline of the wall) and the wall thickness is t. The internal radius of the tube can be calculated as (R-t/2). However, as R>> t, you can approximately assume that the internal radius of the tube is equal to Rin the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T Ozz бее буг Z бее T бел Figure Q3 Centreline of the wall Rarrow_forwardA bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45° Aarrow_forward(If L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam.) Step-4 Which equation in the following choices most accurately represents the functional relationship between the value of the deflection, Vmax ( Units: mm) at the free end (XL) 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. Vmax 1776823249.026 / Izz O 2. Vmax 516518386.345/Izz O 3. Vmax=743786476.336/Izz O 4. Vmax 1002045669.509/Izz O 5. Vmax 330571767.261/Izz O 6. Vmax 196276986.811 / Izz O 7. Vmax 1435921114.038/Izzarrow_forward
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