Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 4.9, Problem 4.94P
To determine
The approximate resultant axial force
To find: The stress-concentration factor
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Q3:
(10 MARKS)
A piston with a weight of 29.4 N is supported by a spring
and dashpot. A dashpot of damping coefficient c = 275
N.s/m acts in parallel with the spring of stiffness k = 2400
N/m. A fluctuating pressure p = 960 sin 30t N/m² acts on
the piston, whose top surface area is 0.05 m². Determine
the steady-state displacement as a function of time and the
maximum force transmitted to the base.
P=Po sin cot
W
9. Design a spur gear drive required to transmit 45 kW at a pinion speed of 800 r.p.m. The velocity ratio
is 3.5 : 1. The teeth are 20° full-depth involute with 18 teeth on the pinion. Both the pinion and gear
are made of steel with a maximum safe static stress of 180 MPa. Assume a safe stress of 40 MPa for
the material of the shaft and key.
10. Design a pair of spur gears with stub teeth to transmit 55 kW from a 175 mm pinion running at 2500
r.p.m. to a gear running at 1500 r.p.m. Both the gears are made of steel having B.H.N. 260. Approximate
the pitch by means of Lewis equation and then adjust the dimensions to keep within the limits set by
the dynamic load and wear equation.
7. A motor shaft rotating at 1440 r.p.m. has to transmit 15 kW to a low speed shaft rotating at 500 r.p.m.
The teeth are 20° involute with 25 teeth on the pinion. Both the pinion and gear are made of cast iron
with a maximum safe stress of 56 MPa. A safe stress of 35 MPa may be taken for the shaft on which
the gear is mounted. Design and sketch the spur gear drive to suit the above conditions. The starting
torque may be assumed as 1,25 times the running torque.
Ruins 20 LW at 100 nm to another shaft running approxi
Chapter 4 Solutions
Mechanics of Materials
Ch. 4.2 - In each case, determine the internal normal force...Ch. 4.2 - Determine the internal normal force between...Ch. 4.2 - The post weighs 8kN/m. Determine the internal...Ch. 4.2 - The rod is subjected to an external axial force of...Ch. 4.2 - The rigid beam supports the load of 60 kN....Ch. 4.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 4.2 - Segments AB and CD of the assembly are solid...Ch. 4.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 4.2 - If the 20-mm-diameter rod is made of A-36 steel...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...
Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 4.2 - Prob. 4.1PCh. 4.2 - The copper shaft is subjected to the axial loads...Ch. 4.2 - The composite shaft, consisting of aluminum,...Ch. 4.2 - The composite shaft, consisting of aluminum,...Ch. 4.2 - 4-5. The assembly consists of a steel rod CB and...Ch. 4.2 - 4-6. The bar has a cross-sectional area of 3 in2,...Ch. 4.2 - 4–7. If P1 = 50 kip and P2 = 150 kip, determine...Ch. 4.2 - *4-8. If the vertical displacements of end A of...Ch. 4.2 - The assembly consists of two 10-mm diameter red...Ch. 4.2 - The assembly consists of two 10-mm diameter red...Ch. 4.2 - The load is supported by the four 304 stainless...Ch. 4.2 - The load is supported by the four 304 stainless...Ch. 4.2 - The rigid bar is supported by the pin-connected...Ch. 4.2 - Prob. 4.14PCh. 4.2 - Prob. 4.15PCh. 4.2 - *4-16. The hanger consists of three 2014-T6...Ch. 4.2 - 4-17. The hanger consists of three 2014-T6...Ch. 4.2 - Prob. 4.18PCh. 4.2 - Prob. 4.19PCh. 4.2 - The assembly consists of three titanium...Ch. 4.2 - Prob. 4.21PCh. 4.2 - Prob. 4.22PCh. 4.2 - Prob. 4.23PCh. 4.2 - Determine the relative displacement of one end of...Ch. 4.2 - Prob. 4.25PCh. 4.2 - Prob. 4.26PCh. 4.2 - 4-27. The circular bar has a variable radius of r...Ch. 4.2 - Prob. 4.28PCh. 4.2 - Prob. 4.29PCh. 4.2 - Prob. 4.30PCh. 4.5 - 4-31. The concrete column is reinforced using four...Ch. 4.5 - Prob. 4.32PCh. 4.5 - 4-33. The steel pipe is filled with concrete and...Ch. 4.5 - If column AB is made from high strength precast...Ch. 4.5 - If column AB is made from high strength precast...Ch. 4.5 - Determine the support reactions at the rigid...Ch. 4.5 - If the supports at A and C are flexible and have a...Ch. 4.5 - Prob. 4.38PCh. 4.5 - Prob. 4.39PCh. 4.5 - Prob. 4.40PCh. 4.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 4.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 4.5 - The assembly consists of two red brass C83400...Ch. 4.5 - *4-44. The assembly consists of two red brass...Ch. 4.5 - Prob. 4.45PCh. 4.5 - If the gap between C and the rigid wall at D is...Ch. 4.5 - The support consists of a solid red brass C83400...Ch. 4.5 - If there are n fibers, each having a...Ch. 4.5 - Prob. 4.49PCh. 4.5 - Prob. 4.50PCh. 4.5 - Prob. 4.51PCh. 4.5 - Prob. 4.52PCh. 4.5 - 4-53. Each of the three A-36 steel wires has the...Ch. 4.5 - 4-54. The 200-kg load is suspended from three A-36...Ch. 4.5 - The three suspender bars are made of A992 steel...Ch. 4.5 - Prob. 4.56PCh. 4.5 - 4-57. The rigid bar is originally horizontal and...Ch. 4.5 - Prob. 4.58PCh. 4.5 - 4-59. Two identical rods AB and CD each have a...Ch. 4.5 - *4-60. The assembly consists of two posts AD and...Ch. 4.5 - Prob. 4.61PCh. 4.5 - Prob. 4.62PCh. 4.5 - Prob. 4.63PCh. 4.5 - Prob. 4.64PCh. 4.5 - 4-65. Initially the A-36 bolt shank fits snugly...Ch. 4.5 - Prob. 4.66PCh. 4.5 - Prob. 4.67PCh. 4.6 - The C83400-red-brass rod AB and 2014-T6- aluminum...Ch. 4.6 - The assembly has the diameters and material...Ch. 4.6 - The rod is made of A992 steel and has a diameter...Ch. 4.6 - Prob. 4.71PCh. 4.6 - Prob. 4.72PCh. 4.6 - The pipe is made of A992 steel and is connected to...Ch. 4.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 4.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 4.6 - The device is used to measure a change in...Ch. 4.6 - The bar has a cross-sectional area A, length L,...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The wires AB and AC are made of steel, and wire AD...Ch. 4.6 - The cylinder CD of the assembly is heated from T1...Ch. 4.6 - The cylinder CD of the assembly is heated from T1=...Ch. 4.6 - The metal strap has a thickness t and width w and...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - If the allowable normal stress for the bar is...Ch. 4.9 - The steel bar has the dimensions shown. Determine...Ch. 4.9 - 4-90. Determine the maximum axial force P that can...Ch. 4.9 - Determine the maximum axial force P that can be...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - Prob. 4.93PCh. 4.9 - 4-94. The resulting stress distribution along...Ch. 4.9 - Prob. 4.95PCh. 4.9 - *4-96. The 10-mm-diameter shank of the steel bolt...Ch. 4.9 - The weight is suspended from steel and aluminum...Ch. 4.9 - The bar has a cross-sectional area of 0.5 in2 and...Ch. 4.9 - Prob. 4.99PCh. 4.9 - *4-100. The rigid beam is supported by a pin at A...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - Prob. 4.103PCh. 4.9 - The rigid beam is supported by three 25-mm...Ch. 4.9 - The rigid beam is supported by three 25-mm...Ch. 4.9 - Prob. 4.106PCh. 4.9 - Prob. 4.107PCh. 4.9 - The rigid beam is supported by the three posts A,...Ch. 4.9 - The rigid beam is supported by the three posts A,...Ch. 4.9 - Prob. 4.110PCh. 4.9 - The bar having a diameter of 2 in. is fixed...Ch. 4.9 - Determine the elongation of the bar in Prob.4108...Ch. 4.9 - Prob. 4.113PCh. 4 - The assembly consists of two A992 steel bolts AB...Ch. 4 - The assembly shown consists of two A992 steel...Ch. 4 - The rods each have the same 25-mm diameter and...Ch. 4 - Two A992 steel pipes, each having a...Ch. 4 - The force P is applied to the bar, which is made...Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The rigid link is supported by a pin at A and two...Ch. 4 - The joint is made from three A992 steel plates...
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