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 9, Problem 9.41SP
Calculate the required width b for the key of Problem 9.40 if the link transmits a 60-lb force and the length of the key is
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A keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54 mm OD. The key thickness is 1.578 cm and the width is 1.11 cm. Compute the length of the same key. The permissible stress value of 60 MPa for shear and 90 MPa for tension. (Ans: 4.33 cm)
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Chapter 9 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 9 - Write the direct stress formula in its three forms...Ch. 9 - A 6-in-diameter concrete test cylinder is loaded...Ch. 9 - Determine the tensile stress in each segment of...Ch. 9 - Calculate the stress developed in the following...Ch. 9 - The following members are subjected to axial...Ch. 9 - Determine the stresses in the two segments of the...Ch. 9 - A bin weighing 8 tons is supported by three steel...Ch. 9 - Diameters of small commercially available steel...Ch. 9 - A No. 32 (metric designation) reinforcing bar for...Ch. 9 - In the bolted connection of Figure 9.12 , assume...
Ch. 9 - Compute the force required to punch a...Ch. 9 - The 34 — in. — diameter bolt shown is subjected to...Ch. 9 - Why is strain unitless (or dimensionless)?Ch. 9 - (a) Given =1.2in. and L=100ft calculate (b) Given...Ch. 9 - A short compression member 2 in. by 2 in. in cross...Ch. 9 - A 100-ft-long rod is suspended from one end. The...Ch. 9 - Compute the total elongation of a steel bar,...Ch. 9 - A steel rod 34 in. in diameter and 25 ft long is...Ch. 9 - An aluminum rod 25mm in diameter and 4m long is...Ch. 9 - A steel rod 10 ft long is made up of two 5 ft...Ch. 9 - A titanium alloy bar elongates 0.500 in. when...Ch. 9 - Write a program that will calculate the allowable...Ch. 9 - Write a program that will compute stress, strain,...Ch. 9 - The Viking Bin Company manufactures suspended bins...Ch. 9 - Write a computer program that will calculate the...Ch. 9 - The joint between a diagonal and a chord in a...Ch. 9 - In Problem 9.26, find the required length of the...Ch. 9 - A column is supported by a base plate, pedestal,...Ch. 9 - If the soil pressure under the footing of Problem...Ch. 9 - A hopper weighing 75 kN is supported by three...Ch. 9 - A steel bar has a rectangular cross section 25 mm...Ch. 9 - A steel wire is suspended vertically from its...Ch. 9 - A W1240 shape is subjected to a tensile load of...Ch. 9 - Calculate the required diameter of steel tie rods...Ch. 9 - A 30-ft-long steel rod of circular cross section...Ch. 9 - Consider the bolted lap joint shown in Figure...Ch. 9 - An inclined member is braced with a glued block,...Ch. 9 - Calculate the force a punch press must exert if it...Ch. 9 - A 34 - in. - diameter punch is used to punch a...Ch. 9 - A control arm is keyed to a 1-in. -diameter shaft...Ch. 9 - Calculate the required width b for the key of...Ch. 9 - A 25-mm-diameter aluminum rod, 3 m long, is...Ch. 9 - A short timber post of Douglas fir is subjected to...Ch. 9 - A 1 00-ft surveyor’s steel tape with a...Ch. 9 - An 18-in-long steel rod is subjected to a tensile...Ch. 9 - Compute the magnitude of the tensile load that...Ch. 9 - A 5-mm-diameter steel wire, 18 m in length, is...Ch. 9 - A structural steel rod 112 in. in diameter and 20...Ch. 9 - A rectangular structural steel eyebar 34 in. thick...Ch. 9 - 9.50 A
in. — diameter steel rod, 100 ft long, is...Ch. 9 - For the truss shown, compute the total deformation...Ch. 9 - A steel bar with a cross section of 12 in. by 12...Ch. 9 - Rework Problem 9.52 , changing the second load...Ch. 9 - In the structure shown, the tie-back BC is a round...Ch. 9 - A hook is suspended by two steel wires, as shown....Ch. 9 - The trolley of a small hoist is supported on a...Ch. 9 - The steel piston rod to the master cylinder has a...Ch. 9 - A stranded steel brake cable is composed of 7...Ch. 9 - The piston of a steam engine is 400 mm in diameter...
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- A compound tube consists of a steel tube 120 mm internal diameter and 140 mm external diameter and an outer brass tube 140 mm internal diameter and 10 mm thickness. The two tubes are of the same length equal to 150 mm. The compound tube carries an axial load of 800 kN. Estimate the stresses and the load carried by each tube and the amount it shortens. Take E for steel as 2 × 105 N/mm2 and for brass as 1 × 105 N/mm2.arrow_forwardA shaft with a diameter d = 25 mm must transfer a torque of 23 Nm by using a key joint. The key has the following standard dimensions: b x h x l = 8 mm x 7 mm x 18 mm. Calculate the stresses.arrow_forwardDesign a typical rigid flange coupling for connecting a motor and a centrifugal pump shafts. The coupling needs to transmit 15 KW at 1000 rpm. The allowable shear stresses of the shaft, key and bolt materials are 60 MPa, 50 MPa and 25 MPa respectively. The shear modulus of the shaft material may be taken as 84GPa. The angle of twist of the shaft should be limited to 1 degree in 20 times the shaft diameter. Note: show complete handwritten solutionarrow_forward
- Two 400 mm diameter pulley are keyed to a simply supported shaft 500mm apart. Each pulley is 100 mm from its support and has horizontal belts, tension ratio being 2.5. If the shear stress is to be limited to 80MPa while transmitting 45 kW at 900 rpm. Find the shaft if it is to be used for the input - output belts being on the same or opposite sides.arrow_forwardA clamp coupling is to transmit a power of 13 kW to a shaft rotating at a speed of 511 rpm. Calculate the diameter of the shaft if the allowable shear stress on the shaft is 45 MPa. The number of bolts connecting the two halves is six. The permissible tensile stress for the bolts is 76 MPa. The coefficient of friction between the coupling and the shaft surface may be taken as 0.3. Also, find the diameter of the bolt. Torque in Nm Diameter of shaft in mm Diameter of bolt in mmarrow_forwardWhat length of a square key is required for a 5-in diameter shaft transmitting 1000 hp at 1000 rpm? The allowable shear and compressive stresses in the key are 15 ksi and 30 ksi, respectively.arrow_forward
- A shaft 80 mm diameter transmits the power at maximum shear stress of 63MPa. Find the length of a 20mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42MPa.arrow_forwardA steel bar carrying 3000kN load,F, is attached to a support by a round pin 0.3m in diameter. Calculate the shearstress in the pin,MPa. If the diameter doubled, calculate the shear stress in the pin,MPa.arrow_forwardA mild steel tie-rod has to carry an axial load of 60KN. The maximum permissible stress is 200N/mm2. Calculate a suitable diameter for the rod.arrow_forward
- Design a typical rigid flange coupling for connecting a motor and a centrifugal pump shafts. The coupling needs to transmit 15 KW at 1000 rpm. The allowable shear stresses of the shaft, key and bolt materials are 60 MPa, 50 MPa and 25 MPa respectively. The shear modulus of the shaft material may be taken as 84GPa. The angle of twist of the shaft should be limited to 1 degree in 20 times the shaft diameter. Note: show complete solutionarrow_forwarda shaft 80mm diameter transmits power at maximum shear stress of 63 mpa. find the length of 20mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42 mpa.arrow_forwardA cylinder head stud has a diameter of 14mm at the bottom of the thread. If the maximum ten sile stress allowed in the material is 30MPa. Calculate the safe load the stud can carry.arrow_forward
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