Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 14.5, Problem 94P
To determine
The speed of the chain when it emerges completely from the tube.
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CORRECT ANSWER ONLY WITH COMPLETE FBD. PREFERABLY HANDWRITTEN. I WILL UPVOTE
1. The beam shown carries the following loads:Total dead load, wDL = 36 kN/mConcentrated live load, PLL = 240 kNThe beam section is HSS16X12X3/8 with properties:Span, L = 6 mArea, A = 12,100 mm2Moment of inertia about x-axis, Ix = 292 x 106 mm4Fy = 345 MPa
1. Calculate the location of the live load, from the left support, for maximum moment to occur at the fixed support.Answer: 2.536 m2. Calculate the maximum moment. Answer: 439.128 kN-m
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
2. The space truss shown is supported by ball-and-socket joints at A, B and C. Factored loads P1 and P2 areacting on joints D and E, respectively, towards the negative y-direction.
1. Calculate the stress of member CE, indicate tension or compression. Answer: 23.61 MPa Tension2. Calculate the stress of member AD, indicate tension or compression. Answer: 21.01 MPa Compression3. Calculate the stress of member CD, indicate tension or compression. Answer: 11.03 MPa Tension
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
3. The frame has pin supports at A and E, subject to a wind load. Treat joint C to be an internal hinge.
Given:Dimensions, H1 = 3.0 m; H2 = 4.5 m; L = 10.0 mWind loads, wWL (AB) = 4.8 kN/m; wWL (BC) = 3.9 kN/m; wWL (CD) = 1.5 kN/m; wWL (DE) = 1.2 kN/mMembers are made of A36 steel Wide Flange Section with the following properties:Area, A = 64000 mm2Depth, d = 762 mmFlange width, bf = 371 mmThickness of web, tw = 32 mmThickness of flange, tf = 57.9 mmMoment of inertia about x-axis, Ix = 6080 x 106 mm4The wide flange is oriented so that the bending is about the x-axis1. Calculate the stress in member AB, due to the axial load it carries, indicate if tension or compression.Answer: 0.0476 MPa Tension2. Calculate the stress in member DE, due to the axial load it carries, indicate if tension or compression.Answer: 0.2351 MPa Compression3. Calculate the maximum bending stress at B. Answer: 4.282 MPa
Chapter 14 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 14.3 - Determine the work of the force when it displaces...Ch. 14.3 - Determine the kinetic energy of the 10-kg block.Ch. 14.3 - Prob. 1FPCh. 14.3 - If the motor exerts a constant force of 300 N on...Ch. 14.3 - If the motor exerts a force of F = (600 + 2s2) N...Ch. 14.3 - The 1.8-Mg dragster is traveling at 125 m/s when...Ch. 14.3 - When s = 0.5 m, the spring is unstretched and the...Ch. 14.3 - The 5-lb collar is pulled by a cord that passes...Ch. 14.3 - The 20-kg crate is subjected to a force having a...Ch. 14.3 - Prob. 2P
Ch. 14.3 - The crate, which has a mass of 100 kg, is...Ch. 14.3 - The 100-kg crate is subjected to the forces shown....Ch. 14.3 - Determine the required height h of the roller...Ch. 14.3 - When the driver applies the brakes of a light...Ch. 14.3 - Prob. 7PCh. 14.3 - Prob. 8PCh. 14.3 - The air spring A is used to protect the support B...Ch. 14.3 - The force F, acting in a constant direction on the...Ch. 14.3 - The force of F= 50 N is applied to the cord when s...Ch. 14.3 - Design considerations for the bumper B on the 5-Mg...Ch. 14.3 - The 2-lb brick slides down a smooth roof, such...Ch. 14.3 - Block A has a weight of 60 lb and block B has a...Ch. 14.3 - The two blocks A and B have weights WA = 60 lb and...Ch. 14.3 - A small box of mass m is given a speed of v=14gr...Ch. 14.3 - Prob. 17PCh. 14.3 - Prob. 18PCh. 14.3 - If the cord is subjected to a constant force of F=...Ch. 14.3 - The crash cushion for a highway barrier consists...Ch. 14.3 - Prob. 21PCh. 14.3 - The 25-lb block has an initial speed of v0 = 10...Ch. 14.3 - The 8-Kg block is moving with an initial speed of...Ch. 14.3 - At a given instant the 10-lb block A is moving...Ch. 14.3 - Prob. 25PCh. 14.3 - The catapulting mechanism is used to propel the...Ch. 14.3 - Prob. 27PCh. 14.3 - The 1 0-lb box falls off the conveyor belt at...Ch. 14.3 - Prob. 29PCh. 14.3 - The 30-lb box A is released from rest and slides...Ch. 14.3 - Prob. 31PCh. 14.3 - The block has a mass of 0.8 kg and moves within...Ch. 14.3 - The 10-lb block is pressed against the spring so...Ch. 14.3 - The spring bumper is used to arrest the motion of...Ch. 14.3 - When the 150-lb skier is at point A he has a speed...Ch. 14.3 - The spring has a stiffness k = 50 lb/ ft and an...Ch. 14.3 - Prob. 37PCh. 14.3 - If the 60-kg skier passes point A with a speed of...Ch. 14.3 - Prob. 39PCh. 14.3 - Prob. 40PCh. 14.3 - Prob. 41PCh. 14.4 - If the contact surface between the 20-kg block and...Ch. 14.4 - Prob. 8FPCh. 14.4 - Prob. 9FPCh. 14.4 - Prob. 10FPCh. 14.4 - Prob. 11FPCh. 14.4 - Prob. 12FPCh. 14.4 - The jeep has a weight of 2500 lb and an engine...Ch. 14.4 - Determine the power Input for a motor necessary to...Ch. 14.4 - An automobile having a mass of 2 Mg travels up a 7...Ch. 14.4 - Prob. 45PCh. 14.4 - To dramatize the loss of energy in an automobile,...Ch. 14.4 - Escalator steps move with a constant speed of 0.6...Ch. 14.4 - Prob. 48PCh. 14.4 - Prob. 49PCh. 14.4 - Determine the power output of the draw-works motor...Ch. 14.4 - The 1000-lb elevator is hoisted by the pulley...Ch. 14.4 - The 50-lb crate is given a speed of 10ft/s in t =...Ch. 14.4 - The sports car has a mass of 2.3 Mg, and while it...Ch. 14.4 - Prob. 54PCh. 14.4 - Prob. 55PCh. 14.4 - The 10-lb collar starts from rest at A and is...Ch. 14.4 - Prob. 57PCh. 14.4 - The 50-lb block rests on the rough surface for...Ch. 14.4 - The escalator steps move with a constant speed of...Ch. 14.4 - If the escalator in Prob.14-46 is not moving,...Ch. 14.4 - Prob. 61PCh. 14.4 - Prob. 62PCh. 14.4 - Prob. 63PCh. 14.4 - Prob. 64PCh. 14.5 - The block has a mass of 150 kg and rests on a...Ch. 14.5 - Prob. 3PPCh. 14.5 - Prob. 4PPCh. 14.5 - The 2-kg pendulum bob is released from rest when...Ch. 14.5 - Prob. 14FPCh. 14.5 - Prob. 15FPCh. 14.5 - Prob. 16FPCh. 14.5 - The 75-lb block is released from rest 5 ft above...Ch. 14.5 - Prob. 18FPCh. 14.5 - The girl has a mass of 40 kg and center of mass at...Ch. 14.5 - The 30-lb block A is placed on top of two nested...Ch. 14.5 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14.5 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14.5 - The ball has a weight of 15 lb and is fixed to a...Ch. 14.5 - Prob. 71PCh. 14.5 - The roller coaster car has a mass of 700 kg,...Ch. 14.5 - The roller coaster car has a mass of 700 kg,...Ch. 14.5 - The assembly consists of two blocks A and B which...Ch. 14.5 - Prob. 75PCh. 14.5 - Prob. 76PCh. 14.5 - The roller coaster car having a mass m is released...Ch. 14.5 - The spring has a stiffness k = 200 N/m and an...Ch. 14.5 - Prob. 79PCh. 14.5 - Prob. 80PCh. 14.5 - When s = 0, the spring on the firing mechanism is...Ch. 14.5 - If the mass of the earth is Me, show that the...Ch. 14.5 - A rocket of mass m is fired vertically from the...Ch. 14.5 - The 4-kg smooth collar has a speed of 3 m/s when...Ch. 14.5 - Prob. 85PCh. 14.5 - The skier starts from rest at A and travels down...Ch. 14.5 - Prob. 87PCh. 14.5 - Prob. 88PCh. 14.5 - When the 6-kg box reaches point A it has a speed...Ch. 14.5 - Prob. 90PCh. 14.5 - Prob. 91PCh. 14.5 - The roller coaster car has a speed of 15 ft/s when...Ch. 14.5 - The 10-kg sphere C is released from rest when =...Ch. 14.5 - Prob. 94PCh. 14.5 - The cylinder has a mass of 20 kg and is released...Ch. 14.5 - Prob. 96PCh. 14.5 - A pan of negligible mass is attached to two...Ch. 14.5 - Prob. 1CPCh. 14.5 - Prob. 1RPCh. 14.5 - The small 2-lb collar starting from rest at A...Ch. 14.5 - Prob. 3RPCh. 14.5 - Prob. 4RPCh. 14.5 - Prob. 5RPCh. 14.5 - Prob. 6RPCh. 14.5 - Prob. 7RPCh. 14.5 - Prob. 8RP
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- 32 mm 32 mm b' c' C 32 mm 32 mm b PROBLEM 6.41 a The extruded beam shown has a uniform wall thickness of 3 mm. Knowing that the vertical shear in the beam is 9 kN, determine the shearing stress at each of the five points indicated.arrow_forwardIn a structural reliability problem, the resistance (capacity) R and load effect (demand) S random variables associated with a failure mode of the structure of interest are normally distributed and statistically independent with the following probability distribution parameters (or statistics) in consistent units: MR = 12, σR = 3 μs = 5, σs = 2 (a) Determine the exact probability of failure pF ·arrow_forwardThe resistance R and load effect S for a given failure mode are statistically independent random variables with marginal PDF's 1 fR (r) = 0≤r≤100 100' fs(s)=0.05e-0.05s (a) Determine the probability of failure by computing the probability content of the failure domain defined as {rarrow_forwardPlease solve this problem as soon as possible My ID# 016948724arrow_forwardThe gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle. The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft? TS I y 18T 32T This a 12 x 18T C 48T 5arrow_forwardQuestion 1. Draw 3 teeth for the following pinion and gear respectively. The teeth should be drawn near the pressure line so that the teeth from the pinion should mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or CAD drawing is acceptable. Draw all the trajectories of the involute lines and the circles. Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch. Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet, c=b-a.arrow_forward5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces. The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2) is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2. (a) Find the revolution speed of gear 5. (b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue. (c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress). (d) According to the computation results of the questions (b) and (c), explain the possible failure mechanisms for each gear. N4=28 800rpm N₁=43 N5=34 N₂=14 P(diameteral pitch)=8 for all gears Coupled to 2.5hp motorarrow_forward1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with Sy=60kpsi and Sut=80 kpsi. (1) Draw a shear force diagram and a bending moment diagram by F. According to your analysis, where is the point of interest to evaluate the safety factor among A, B, C, and D? Describe the reason. (Hint: To find F, the torque Tд is generated by the tangential force of F (i.e. Ftangential-Fcos20°) When n=2.5, K=1.8, and K₁ =1.3, determine the diameter of the shaft based on (2) static analysis using DE theory (note that fatigue stress concentration factors need to be used for this question because the loading condition is fatigue) and (3) a fatigue analysis using modified Goodman. Note) A standard diameter is not required for the questions. 10 in Darrow_forward3 N2=28 P(diametral pitch)=8 for all gears Coupled to 25 hp motor N3=34 Full depth spur gears with pressure angle=20° N₂=2000 rpm (1) Compute the circular pitch, the center-to-center distance, and base circle radii. (2) Draw the free body diagram of gear 3 and show all the forces and the torque. (3) In mounting gears, the center-to-center distance was reduced by 0.1 inch. Calculate the new values of center-to-center distance, pressure angle, base circle radii, and pitch circle diameters. (4)What is the new tangential and radial forces for gear 3? (5) Under the new center to center distance, is the contact ratio (mc) increasing or decreasing?arrow_forward2. A flat belt drive consists of two 4-ft diameter cast-iron pulleys spaced 16 ft apart. A power of 60 hp is transmitted by a pulley whose speed is 380 rev/min. Use a service factor (Ks) pf 1.1 and a design factor 1.0. The width of the polyamide A-3 belt is 6 in. Use CD=1. Answer the following questions. (1) What is the total length of the belt according to the given geometry? (2) Find the centrifugal force (Fc) applied to the belt. (3) What is the transmitted torque through the pulley system given 60hp? (4) Using the allowable tension, find the force (F₁) on the tight side. What is the tension at the loose side (F2) and the initial tension (F.)? (5) Using the forces, estimate the developed friction coefficient (f) (6) Based on the forces and the given rotational speed, rate the pulley set. In other words, what is the horse power that can be transmitted by the pulley system? (7) To reduce the applied tension on the tight side, the friction coefficient is increased to 0.75. Find out the…arrow_forwardThe tooth numbers for the gear train illustrated are N₂ = 24, N3 = 18, №4 = 30, №6 = 36, and N₁ = 54. Gear 7 is fixed. If shaft b is turned through 5 revolutions, how many turns will shaft a make? a 5 [6] barrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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