ENGINEERING MECHANICS: STATICS
14th Edition
ISBN: 9780135681879
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 3.3, Problem 4P
The bottom one is subjected to a 125-N force at its contact A due to the load on the shaft. Determine the normal reactions NB and NC on the bearing at its contact points B and C for equilibrium.
Prob. 3-4
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A cantilever beam of a channel section and length L is loaded by a point load W applied at half-length of the beam through the centroid of the section, as shown in Figure Q1. The material of the beam is aluminum alloy with the Young’s modulus of E .
A 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°
Question2
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
a) If the landing stall speed of the aircraft is set at 100 kts corresponding to a landing
weight of 0.85 Wro, and C(Lmax) Landing = 2.50, determine take-off weight and
then calculate the range and empty weight of this aircraft (see Table Q2).
Consider landing at sea level on a standard day.
L/D at cruise
L/D at 10000ft flight…
Chapter 3 Solutions
ENGINEERING MECHANICS: STATICS
Ch. 3.3 - In each case, draw a free-body diagram of the ring...Ch. 3.3 - Do not solve.Ch. 3.3 - Determine the force in each supporting cable.Ch. 3.3 - Determine the shortest cable ABC that can be used...Ch. 3.3 - Neglect the size of the pulley.Ch. 3.3 - Determine the unstretched length of the spring.Ch. 3.3 - If the mass of cylinder C is 40 kg, determine the...Ch. 3.3 - Also, find the angle .Ch. 3.3 - Determine the magnitudes of F1 and F2 for...Ch. 3.3 - Determine the magnitude of F1 and its angle for...
Ch. 3.3 - Determine the magnitude and direction of F so...Ch. 3.3 - The bottom one is subjected to a 125-N force at...Ch. 3.3 - If the forces are concurrent at point O, determine...Ch. 3.3 - Determine the tension force in member C and its...Ch. 3.3 - If the tension in AB is 60 lb, determine the...Ch. 3.3 - The cords ABC and BD can each support a maximum...Ch. 3.3 - Determine the maximum force F that can be...Ch. 3.3 - Determine the angle for equilibrium and the force...Ch. 3.3 - Prob. 11PCh. 3.3 - Determine the force in each of the cables AB and...Ch. 3.3 - Prob. 13PCh. 3.3 - The springs are shown in the equilibrium position.Ch. 3.3 - If the block is held in the equilibrium position...Ch. 3.3 - Note that s = 0 when the cylinders are removed.Ch. 3.3 - Prob. 17PCh. 3.3 - determine the stiffness of the spring to hold the...Ch. 3.3 - Take k = 180 N/m.Ch. 3.3 - If the spring has an unstretched length of 2 ft,...Ch. 3.3 - Cord AB is 2 ft long. Take k = 50 lb/ft.Ch. 3.3 - Determine the horizontal force F applied to the...Ch. 3.3 - Determine the displacement d of the cord from the...Ch. 3.3 - Determine the distances x and y for equilibrium if...Ch. 3.3 - Determine the magnitude of F1 and the distance y...Ch. 3.3 - Determine the force in each cord for equilibrium.Ch. 3.3 - Determine the largest mass of pipe that can be...Ch. 3.3 - If each light has a weight of 50 lb. determine the...Ch. 3.3 - Determine the tension developed in each cord...Ch. 3.3 - Determine the maximum mass of the lamp that the...Ch. 3.3 - If x = 2 m determine the force F and the sag s for...Ch. 3.3 - If F = 80 N. determine the sag s and distance x...Ch. 3.3 - Determine the tension in each cord and the angle ...Ch. 3.3 - Determine the largest weight of the lamp that can...Ch. 3.3 - Also, what is the force in cord AB? Hint: use the...Ch. 3.3 - Determine the position x and the tension developed...Ch. 3.3 - Prob. 37PCh. 3.3 - Take F = 300 N and d = 1 m.Ch. 3.3 - If a force of F = 100 N is applied horizontally to...Ch. 3.3 - If the cable can be attached at either points A...Ch. 3.3 - Determine the position x and the tension in the...Ch. 3.3 - The cord is fixed to a pin at A and passes over...Ch. 3.3 - Establish appropriate dimensions and use an...Ch. 3.3 - If the maximum tension that can be supported by...Ch. 3.3 - If the angle between AB and BC is 30, determine...Ch. 3.3 - If the distance BC is 1.5 m, and AB can support a...Ch. 3.4 - Determine the magnitude of forces F1, F2, F3, so...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - F310. Determine the tension developed in cables...Ch. 3.4 - Determine the tension in these wires.Ch. 3.4 - Determine the force developed in each cable for...Ch. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - If the bucket and its contents have a total weight...Ch. 3.4 - Each spring has on unstretched length of 2 m and a...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - Determine the tension in the cables in order to...Ch. 3.4 - Determine the maximum mass of the crate so that...Ch. 3.4 - Determine the force in each cable if F = 500 lb.Ch. 3.4 - Determine the greatest force F that can be applied...Ch. 3.4 - Determine the tens on developed in cables AB and...Ch. 3.4 - Also, what is the force developed along strut AD?Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - Determine the maximum weight of the crate that can...Ch. 3.4 - Prob. 56PCh. 3.4 - If each cord can sustain a maximum tension of 50 N...Ch. 3.4 - which has a mass of 15 kg. Take h = 4 m.Ch. 3.4 - Take h = 3.5 m.Ch. 3.4 - Determine the force in each chain for equilibrium....Ch. 3.4 - Determine the tension in each cable for...Ch. 3.4 - If the maximum force in each rod con not exceed...Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the maximum weight of the crate so that...Ch. 3.4 - If the bolt exerts a force of 50 lb on the pipe in...Ch. 3.4 - Prob. 2RPCh. 3.4 - Determine the maximum weight of the flowerpot that...Ch. 3.4 - Determine the magnitude of the applied vertical...Ch. 3.4 - Prob. 5RPCh. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - If cable AB is subjected to a tension of 700 N,...
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- q Y X A ΕΙ L B Marrow_forwardIf L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam. Step-1 The bend moment of the beam, M (Units: N.m), as a function of spatial coordinate X ( Units: m) can be described by Select one: O 1. M = 16117.506 +9189.000*X, for 0<=X<= L/2; M=0.00, for L/2< x <= L O 2. M = 16117506.000 - 9189.000*X, for 0<= x <= L/2; M = 9189.000* X, for L/2< x <= L O 3. M=16117.5069189.000*X, for 0<=X<= L/2; M=0.00, for L/2< x <= L O 4. M = 16117506.000 + 9189.000*X, for 0<=X<= L/2; M = 9189.000*X, for L/2arrow_forwardQuestion 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.arrow_forwardA close end tube of thin-walled circular section may be subjected to torque 7 and internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by the torque can be calculated as T = 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 t P Ozz бөө Orr Z T Ozz бед Figure Q3 Centreline of the wall R (a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel if P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21.arrow_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[(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel. (P= 23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21)] Step-4 The minimum allowable wall thickness of the cylindrical pressure vessel can be calculated as (Units: mm and rounded to three decimal places) Select one O 1.8.481 O 2.4.240 ○ 3.6.869 ○ 4. 16.961 5. 13.738 O 6.3.434arrow_forward[If L=3508 mm, W=9189 N, E=80 GPa, Determine the deflection at the free end of the beam.] Step -3 Which equation in the following choices most accurately represents the functional relationship between the value of the deflection v ( Units: mm) at half length (x =L/2) of the beam and the second moment of area about z-axis of the cross section, Izz ( Units: mm²): (Please note that " X = L/2" is the same as "X=L÷2".) Select one: O 1. v 588830960.433/Izz O 2. v=338836061.442/Izz O 3. v 119832265.632/Izz O 4. v 413214709.076/Izz O 5. v=287184222.808/Izz O 6. v=206607354.538/Izz O 7. v=66114353.452/Izz O 8. v 752050770.518/Izzarrow_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° A Step -1 The given load case can be represented by a statically equivalent system of the following loads Select one: O 1. A tensile force placed at the centroid with intensity equals to 0.354 P; a bending moment about zaxis, M₂ = (P×D× 0.708); a bending moment about yaxis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 2. A tensile force placed at the centroid with intensity equals to 0.354P; a bending moment about z axis, M₂ = (PxDx 0.354); a bending moment about yaxis, My= (Px D× 0.177); and self-weight…arrow_forwardQuestion 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. a) Calculate the static power and thrust coefficients.arrow_forwardA cantilever beam of a channel section and length L is loaded by a point load W applied at half-length of the beam through the centroid of the section, as shown in Figure Q1. The material of the beam is aluminum alloy with the Young's modulus of E. 1. As illustrated in Figure Q1, the Y-axis is positioned along the symmetric plane of the cross-section, while the Z-axis and X-axis pass through the centroid of the cross-section. The X-axis is defined using the right-hand rule, with the origin located at the fixed end. The distance from the centroid to the bottom of the cross- section, yc (Units: mm), is: Select one: O 1. 48.72 O 2. 70.24 ○ 3. 76.38 ○ 4. 83.12 O 5. 68.73 ○ 6. 50.26 ○ 7. 56.19 ○ 8. 88.73 ○ 9. 62.82 O 10. 42.83 W a a 25 mm y Z AN a-a 25 mm 150 mm SC yc 6 mm Figure Q 1 200 mmarrow_forwardUse 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) 9 Y M A ΕΙ B Larrow_forward5. Prove that if then AG ӘР ән Տ =T ӘР T T +Varrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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