Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 4.8, Problem 6PP
To determine
Find the force P to move block B.
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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 4 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 4.4 - Draw the free-body diagram of each object. Prob....Ch. 4.4 - Determine the horizontal and vertical components...Ch. 4.4 - Determine the horizontal and vertical components...Ch. 4.4 - The truss is supported by a pin at A and a roller...Ch. 4.4 - Determine the components of reaction at the fixed...Ch. 4.4 - The 25-kg bar has a center of mass at G. If it is...Ch. 4.4 - Determine the reactions at the smooth contact...Ch. 4.4 - Determine the components of the support reactions...Ch. 4.4 - Determine the reactions at the supports. Prob. 4-2Ch. 4.4 - Determine the horizontal and vertical components...
Ch. 4.4 - Determine the reactions at the supports. Prob. 4-4Ch. 4.4 - Determine the reactions at the supports. Prob. 4-5Ch. 4.4 - Determine the reactions at the supports. Prob. 4-6Ch. 4.4 - Determine the magnitude of force at the pin A and...Ch. 4.4 - The dimensions of a jib crane are given in the...Ch. 4.4 - The dimensions of a jib crane are given in the...Ch. 4.4 - The smooth pipe rests against the opening at the...Ch. 4.4 - The beam is horizontal and the springs are...Ch. 4.4 - The 10-kg uniform rod is pinned at end A. If it is...Ch. 4.4 - The man uses the hand truck to move material up...Ch. 4.4 - Three uniform books, each having a weight W and...Ch. 4.4 - Determine the reactions at the pin A and the...Ch. 4.4 - If rope BC will fail when the tension becomes 50...Ch. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - The cantilever footing is used to support a wall...Ch. 4.4 - Prob. 20PCh. 4.4 - A boy stands out at the end of the diving board,...Ch. 4.4 - Prob. 22PCh. 4.4 - Prob. 23PCh. 4.4 - Prob. 24PCh. 4.4 - Prob. 25PCh. 4.4 - The man attempts to pull the four wheeler up the...Ch. 4.6 - Draw the free-body diagram of each object.Ch. 4.6 - In each case, write the moment equations about the...Ch. 4.6 - Prob. 7FPCh. 4.6 - Prob. 8FPCh. 4.6 - The rod is supported by smooth journal bearings at...Ch. 4.6 - Determine the support reactions at the smooth...Ch. 4.6 - Determine the force developed in the short link...Ch. 4.6 - Determine the components of reaction that the...Ch. 4.6 - The uniform load has a mass of 600 kg and is...Ch. 4.6 - Due to an unequal distribution of fuel in the wing...Ch. 4.6 - Determine the components of reaction at the fixed...Ch. 4.6 - The 50-lb mulching machine has a center of gravity...Ch. 4.6 - Prob. 30PCh. 4.6 - The uniform concrete slab has a mass of 2400 kg....Ch. 4.6 - Prob. 32PCh. 4.6 - Determine the tension in each cable and the...Ch. 4.6 - The bent rod is supported at A, B, and C by smooth...Ch. 4.6 - Prob. 35PCh. 4.6 - The bar AB is supported by two smooth collars. At...Ch. 4.6 - The rod has a weight of 6 lb/ft. If it is...Ch. 4.6 - The sign has a mass of 100 kg with center of mass...Ch. 4.6 - Both pulleys cite fixed to the shaft and as the...Ch. 4.6 - Both pulleys are fixed to the shaft and as the...Ch. 4.6 - Prob. 41PCh. 4.8 - Determine the friction force at the surface of...Ch. 4.8 - Determine the couple moment M needed to cause...Ch. 4.8 - Prob. 6PPCh. 4.8 - Prob. 7PPCh. 4.8 - Prob. 13FPCh. 4.8 - Determine the minimum force P to prevent the 30-kg...Ch. 4.8 - Determine the maximum force P that can be applied...Ch. 4.8 - Prob. 16FPCh. 4.8 - Prob. 17FPCh. 4.8 - Prob. 18FPCh. 4.8 - Prob. 19FPCh. 4.8 - If the coefficient of static friction at all...Ch. 4.8 - Prob. 21FPCh. 4.8 - Prob. 42PCh. 4.8 - The tractor exerts a towing force T = 400 lb....Ch. 4.8 - The mine car and its contents have a total mass of...Ch. 4.8 - The winch on the truck is used to hoist the...Ch. 4.8 - Prob. 46PCh. 4.8 - The automobile has a mass of 2 Mg and center of...Ch. 4.8 - Prob. 48PCh. 4.8 - Prob. 49PCh. 4.8 - Prob. 50PCh. 4.8 - Determine the angle at which the applied force P...Ch. 4.8 - Prob. 52PCh. 4.8 - The 180-lb man climbs up the ladder and stops at...Ch. 4.8 - The 180-lb man climbs up the ladder and stops at...Ch. 4.8 - The spool of wire having a weight of 300 lb rests...Ch. 4.8 - The spool of wire having a weight of 300 lb rests...Ch. 4.8 - The ring has a mass of 0.5 kg and is resting on...Ch. 4.8 - Determine the smallest force P that must be...Ch. 4.8 - The man having a weight of 200 lb pushes...Ch. 4.8 - The uniform hoop of weight W is subjected to the...Ch. 4.8 - Prob. 61PCh. 4.8 - Prob. 62PCh. 4.8 - Prob. 63PCh. 4.8 - The coefficient of static Friction between the...Ch. 4 - If the roller at B can sustain a maximum load of 3...Ch. 4 - Determine the reactions at the supports A and B...Ch. 4 - Determine the normal reaction at the roller A and...Ch. 4 - Determine the horizontal and vertical components...Ch. 4 - Determine the x, y, z components of reaction at...Ch. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - The uniform 60-kg crate C rests uniformly on a...
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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. 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