A compound bar consists of a steel and bronze segment (Gs t= 80 GPa and Gbr = 40 GPa), The limiting shear stress in steel and bronze are 160 MPa and 60 MPa respectively, and the rotation at B is limited to 0.05 rad. Determine the maximum allowable torque in kN-m if the diameter is 1/10 of a meter.
Q: Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the…
A:
Q: A solid, circular bar ABC consists of two segments, as shown in the figure. One segment has a…
A: When a shaft is subjected to torque, shear stress produces in the shaft. The torsion equation is…
Q: A circular steel tube of length L = 1.0 m is loaded by torques T a) If the inner radius of the tube…
A: a. At inner surface: from the given data, Shear strain,
Q: A hollow aluminium shaft of 80 mm outer diameter & 60 mm inner diameter is rotating @ 5 Hz when…
A:
Q: 3.13 The torques T and 2T are carried by a shaft consisting of steel and aluminum segments. If the…
A: Given:ζs=14,000 psiζa=7,500 psiθmax=8Gs=12*106 psiGa=4*106 psi
Q: The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the…
A: Given data: - The torque at point A is TA = 2T. The torque at point B is TB = 3T. The allowable…
Q: Two sections of steel drill pipe, joined bybolted flange plates at B, are subjected to a…
A: Calculate the total load due to the uniformly distributed torque on the part BC in the pipe. T0=50…
Q: A 250 hp motor turns a shaft at 2400 rpm. The shaft steps down in diameter 3.0-in to 2.5-in as shown…
A: Given:Power of motor, P=250 hpShaft speed, N=2400 rpmDmax=3.0 inDmin=2.5 in
Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 212 mm and a…
A:
Q: 2. A tube is made of aluminum (G = 24 GPa ) and has a rectangular cross section as shown in figure.…
A:
Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…
A: Data given- d = 100 mm σaxial = 50 MPa T = 10 kN-m
Q: A hollow circular section shaft 2.5 m long is firmly supported at each end and has an inside…
A:
Q: The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the…
A:
Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 200 mm, a…
A:
Q: A hollow aluminum tube used in a roof structure has an outside diameter of 104 mm and an inside…
A: Given data: τ=48 MPaD=104 mmd=82 mmL=2.75 mG=28 GPa Need to determine the angle of twist.
Q: A steel shaft (Gs = 80 GPa) of total lengthL = 3.0 m is encased for one-third of its length by…
A: Given that, Gs=80 GPa,Length of steel shat, L=3 m,Gb=40 GPa,d1=70 mm,d2=90 mm,…
Q: A hollow steel shaft with an outside diameter of 64 mm and a wall thickness of 5 mm is subjected to…
A:
Q: A hollow steel shaft is stressed to 55 MPa by a torque of 135600Nm. Determine the outside diameter…
A: Given data: τ=55 MPaT=135600 N.md=23DG=83 GPa Need to determine the outside diameter.
Q: 2. A tube is made of aluminum ( G = 24 GPa ) and has a rectangular cross section as shown in figure.…
A:
Q: 1.5 kN m 4 kN m Steel Aluminum Bronze 100 mm 75 mm 3 m 2 m -1.5 m- C FIG. P3.12 FIG. P3.11 3.12 The…
A: Answer: (a) Maximum shear stress in each material : ◆ Aluminum : 28.0 MPa. ◆ Steel and Bronze :…
Q: Q- A solid 75-mm-diameter Aluminum [E = 80 GPa and 0.3 Poisson ratio] shaft that is 1.25-m long…
A: DAl=Diameter of Solid Aluminum=75 mmLAl=length of Aluminum shaft=1.25 m DB1=Outside Diameter of…
Q: A Compound Steel (G=80GPA) Shaft consists of a solid 90mm diameter (segment1) and a solid 70mm…
A:
Q: A 24 mm diameter shaft 0.8 m long is twisted through an angle of 1.8 degrees. What is the stress…
A:
Q: The circle ring whose one end is fixed and the other end is free, acting on the shaft torsional…
A:
Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 212 mm and a…
A:
Q: d; = 20 mm A) A hollow rod, shown in figure, having an inner diameter of d;=20 mm and an outer…
A: Given Data Inner diameter is: di=20 mm Outer diameter is: do=25 mm Shear stress is: τ=570 MPa Speed…
Q: 35 mm 10 kN-m 2.36 x10° mm G, 50 GPa (1) C2 40 mm (2) 4.02 x10° mm A G2 = 25 GPa 2400 mm 3100 mm A…
A:
Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 12.25 in. and…
A:
Q: A vertical rod of length L and diameter d is fixed at its upper end and carries a load Wat its lower…
A:
Q: Opposing axial torques are applied at the ends of a straight bar ABCD. Each of the parts AB, BC and…
A: Given: Straight bar ABCD, Length of Parts AB, BC, CD = 500 mm
Q: A solid, circular bar ABC consists of two segments, as shown in the figure. One segment has a…
A: Given,
Q: 1. Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine…
A: Find the maximum permissible value of torque
Q: A flange bolt coupling consist of 8-12.7mmꬾ steel bolts on a circle diameter of 304.80mm & 6-12.7mmꬾ…
A:
Q: Consider a two-component rod fixed at the left end. The first component (on the left, positioned…
A:
Q: A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques…
A:
Q: If the internal torque experienced by a solid brass shaft (G =39 GPa) with radius r=50 mm is T = 12…
A: Consider a twisting moment T is applied to a shaft having radius R. Then, torsional shear stress…
Q: A steel shaft (G = 80 GPa) with an external drive of 30mm must transmit a torque of 2700 N-m. The…
A:
Q: A hollow steel shaft with an outside diameter of 76 mm and a wall thickness of 5 mm is subjected to…
A:
Q: The bars shown in Figurehave equal cross-sectionalareas and they are each subjected to a torque of…
A:
Q: Problem 2
A:
Q: A fixed-end shaft is subjected to torques T1 (Nm) and T2 (Nm) as shown in the figure. If the shear…
A: The given values are - d1=100mm, d2=30 mm , TAB=800+200=1000×103Nmm , TBC=200×103NmmLAB=900mm,…
Q: A circular shaft measuring 3 meters in length with an inner and outer radius of 30 mm and 60 mm…
A: Given data: Length of shaft, L =3 m Inner radius, r1=30 mm = 0.03 m Inner Diameter = 0.06 m Outer…
Q: A solid circular steel shaft having an outside diameter of 1.50 in. is subjected to a pure torque of…
A: Answer: The correct answer is option (b) i.e. 12.57 ksi.
Q: A flange bolt coupling consist of 8-12.7mmꬾ steel bolts on a circle diameter of 304.80mm & 6-12.7mmꬾ…
A:
Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 12.25 in. and…
A: Given data: d1o=12.25 int1=0.365 ind2o=5.5 int2=0.28 inTB=69 kip-ftTC=12 kip-ft Need to determine…
Q: A steel pipe is part of a drilling rig to build foundation piles The outer d 2 is equal to 6 in and…
A: To obtain the magnitude of the shear force on the various fibers of the beam, we must use the pure…
Q: Q-A solid 75-mm-diameter Aluminum [E 80 GPa and 0.3 Poisson ratio] shaft that is 1.25-m long extends…
A:
Q: Consider two steel shafts CFG and HJ of diameters 50 mm and 70 mm respectively as shown in fig. The…
A:
Q: A hollow aluminium shaft of 80 mm outer diameter & 60 mm inner diameter is rotating @ 5 Hz when…
A:
A compound bar consists of a steel and bronze segment (Gs t= 80 GPa and Gbr = 40 GPa), The limiting shear stress in steel and bronze are 160 MPa and 60 MPa respectively, and the rotation at B is limited to 0.05 rad. Determine the maximum allowable torque in kN-m if the diameter is 1/10 of a meter.
Step by step
Solved in 3 steps with 3 images
- Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.
- -11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0 kip-in. acting in the directions shown in the figure. Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements..17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
- Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa-7 Repeat Problem 2.3-5, but n include the weight of the bar. See Table I-I in Appendix I for the weight density of steel.The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
- A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?