4. A hollow steel shaft undergoes a tensile axial load P and a moment M = 2 kN-m as seen below. Using the Maximum Energy Distortion Theory, determine the maximum allowable load, Pll, in kN. Let oyp = 265 MPa, D = 100 mm, t 4 mm. D = 100mm M M P t= 4mm
Q: A cylindrical shaft made of steel of yield strength 700 MPa is subjected to static loads consisting…
A: Givenσy=700 MPaτ=σyF.S×0.58=7002.1×0.58=193 MPaM=10 kN=10000 NT=30 kN=30000 N
Q: Figure Q1 shows a shaft AB (modulus of rigidity G = 73 GPa) with a total length of 1270 mm that is…
A: This is a problem of indeterminate beam, so we can calculate the reactions at A and B. These…
Q: The Figure shows the motor A, which turns its connected pulley at 125 r.p.m. If the least safe…
A: Given data, turning of motor =125 rpm. diameter of shaft =30 mm =0.030m. shear stress =70…
Q: (b) Figure Q6(b) shows a cantilever shaft made of steel subjected to several loading T = 5kNm, M =…
A:
Q: A steel bar ABC is loaded by a point load of 200N at point C and supported as shown in this figure.…
A: Consider 'P' be the virtual force that is being applied at point C in the horizontal direction. Now,…
Q: 5 - Shaft ABC is fixed at both ends. Segment AB is solid core and segment BC is hollow-core, with…
A: Given:LAB=0.4 mLBC=0.5 mDAB=40 mmDBC=60 mmdBC=30 mmGAB=28 GPaGBC=85 GPa
Q: *1Q4 A hollow steel shaft of 100 mm external diameter (D) and 50 mm internal diameter (d) is…
A: When the force is applied in tangential direction in the plane of transverse cross-section, torque…
Q: Example 19.19. A torsion dynamometer is fitted to a propeller shaft of a marine engine. It is found…
A:
Q: Q.4. A solid steel shaft 5m long is stressed to 80 MPa when twisted through 4 degrees using G- 83…
A:
Q: the twisting angle. The modulus of Rigidity for the shaft is 20 GN/m? • for the missing torque T =…
A: For the shafts in series,…
Q: (a) The tubular rotor shaft of a wind turbine shown in Figure 3(a) is of 50 mm and 40 mm outer and…
A: Given data Outer Diameter of Tubular shaft = Do = 50 mm = 0.05 mInner Diameter of Tubular Shaft = Di…
Q: A shaft with a length of 2 m has the cross section shown in Figure 1, where a = 4 cm and t = 4 mm.…
A: Torque Torque is a rotational equivalent of linear force. Torsion Torsion is the twisting of an…
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: 1. A laminated steel spring, simply supported at the ends and centrally loaded, with a span of 75 cm…
A: Springs are one of the flexible machine elements, which gets deformed when load is applied to it and…
Q: A laminated steel spring, simply supported at the ends centrally loaded, with a span of 75 cm is…
A: Springs are one of the flexible machine elements, which gets deformed when load is applied to it and…
Q: PROBLEM 3. The beam shown in the figure is made of steel with oạ-300 MPa. Determine the maximum…
A:
Q: Find the diameter of the shaft (based on torsional stiffness) for which the angle of twist is not to…
A:
Q: A torsion dynamometer is fitted on a turbine shaft to measure the angle of twist. It is observed…
A: The solution is mentioned in next step
Q: Compute the torsional deflection in degrees of a 110 mm diameter, 1.4 meter long shaft subjected to…
A: GIVEN DATA- D=110mm T=3*10^6Nmm G=83000 N/mm2 WE HAVE TO CALCULATE TORSIONAL DEFLECTION IN DEGREE
Q: mild steel shaft of 50 mm diameter is subjected to a bending moment of 2000 N-m and a torque T. If…
A:
Q: The tubular rotor shaft of a wind turbine shown in Figure 3(a) is of 50 mm and 40 mm outer and inner…
A:
Q: A solid shaft 125 mm in diameter transmits 120 KW at 160 rpm. Taking C = 8 x 104 N/mm2 and length…
A: Write the expression to determine the powerP transmitted by a shaft. P=2πNT60 Here, speed of the…
Q: shift is subjected to the axial loads shows. If copper has an E=18×10^6Psi and the diameters of each…
A:
Q: 3. Shafts AB and BC (each 50 mm long) are welded to each other. Shaft AB is hallow with 20 mm inner…
A: Given dataLength of the shaft AB and BC = 50mmShaft AB inner raius ri = 20mmShaft AB outer radius ro…
Q: For a circular diaphragm of the type and loading shown in figure below, greatest linear deflection…
A: Given Data a=6.35 mm t=0.32 mm E=20.68×107 kPa v=0.3 Greatest linear deflection that occurs at the…
Q: A 2-inch line shaft is transmitting 20 hp rotating at 200 rpm, carrying two pulleys spaced 30 inches…
A:
Q: A circular shaft having diameters D and d and a groove of radius r (with M = 0 and P = 0) is made of…
A:
Q: Do fast
A:
Q: A hollow shaft has to transmit 5MW at 150rev / min The maximum allowable stress is not to exceed 70…
A:
Q: 2.29. A cylindrical steel shaft is required to transmit a bending moment of 1000 Nm and a torque of…
A:
Q: A torsion dynamometer is fitted on a turbine shaft to measure the angle of twist. It is observed…
A:
Q: In shaft assembly shown in Figure 1, 1 = 200 mm, a = 160 mm, b = 180 mm, the force P = 1000 N/cm.…
A: Given: l=200 mma=160 mmb=180 mmP=1000 N/cm The free-body diagram of the beam is given as, The area…
Q: An I-section has the dimensions shown in Fig. Q4 and is subjected to an axial torque, T = 5000 N.m…
A: Axial torque = 5000 Nm Modulus of rigidity = 82 GN/m2
Q: shaft is subject to the stresses at the tip point as given below; Tmean = 100 Nm, Taiternating= 50…
A:
Q: 4. A solid shaft 125 mm in diameter transmits 120 KW at 160 rpm. Taking C = 8 x 10 N/mm² and length…
A: P=120 kWRPM, N=160C=G=8×104 N/mm2D=125 mmlength, L=7.5 m
Q: 2. The tapered cylindrical bar in Fig. 2 is subjected to opposing torques T on its free ends. For…
A:
Q: A bronze helical spring is subject to a compressive load of 1800 Ibf. The spring has 30 turns and…
A: Given data: The force applied over the spring is F = 1800 lbfThe number of turns in the spring is N…
Q: A steel shaft A of diameter d'and length Lis subjected to a torque T. Another shaft B made of…
A: We are asked to find shear stress in aluminium and we are aware of shear stress in steel. From…
Q: circular shaft of diameter D, groove diameter d, and groove radius r is subjected to a fully…
A: Given-
Q: The stepped shaft in the figure transmits 19.2 kW of power at 180 rpm. Maximum strain Determine the…
A:
Q: Consider shaft AB fixed at point A and free at point B that is subjected to the torque T. The shaft…
A: Member subjected to torque can be two types of analysis 1. Series 2. Parallel.
Q: Find the diameter of a shaft to tansmit twisting moments varying from 800 N-m to 1600 N-m. The…
A: GIVEN DATA MAXIMUM TORQUE T=1600N-m MINIMUM TORQUE T=800 N-m σut=600MPa σy=450 MPa Kt=1.2…
Q: e following is TRUE for a hollow circular shaft subjected to a uniformly distributed in the elastic…
A: The maximum shear stress will occur at outer surface and is uniform along length. So option A is…
Q: A bar (AC) is effected by a torque (T) at the free end by (2T) in the opposite direction at the…
A:
Q: A circular shaft of diameter D, groove diameter d, and groove radius r is subjected to a fully…
A:
Q: Problem II. The figure below shows the cross-section of a thin-walled shaft subjected to a torque MT…
A: The section is as shown below, Section I: - Area, A1=π2a2 Section II: - Area, A2=2a×2aA2=4a2…
Q: A hollow aluminium shaft of 80 mm outer diameter & 60 mm inner diameter is rotating @ 5 Hz when…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- 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?Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
- A tubular bar with outside diameterd2= 4.0 in, is twisted by torques T = 70,0 kip-in. (see figure). Under the action of these torques, the maximum tensile stress in the bar is found to be 6400 psi. Determine the inside diameter rtf of the bar. If the bar has length L = 48.0 in. and is made of aluminum with shear modulus G = 4,0 × 106 psi, what is the angle of twist d (in degrees) between the ends of the bar? (c) Determine the maximum shear strain y (in radians)?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 for a W 200 × 41,7 shape with h = 166 mm, h = 205 mm. rw = 7.24 mm, tE= ILS mm,andV = 38 kN.
- -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.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)..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.
- Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a concentrated torque 4000 kip-in. at x = 3 ft, and a uniformly distributed torque t0= 50 kip-ft/ft is applied on pipe BC. Let G = 11,800 ksi and assume that pipes AB and BC have the same inner diameter, d = 12 in. Pipe AB has a thickness tAB= 3/4 in., and pipe BC has a thickness tBC= 5/8 in. Find the reactive torques at A and C and the maximum shear stresses in each segment.A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (sec figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque (T0) that may be applied at section C? Find (T0)max if the maximum angle of twist is limited to 0.55º. Let G = 10,600 ksi.A nonprismatic bar ABC with a solid circular cross section is loaded by distributed torques (sec figure). The intensity of the torques, that is, the torque per unit distance, is denoted t(x) and varies linearly from zero at A to a maximum value T0/L at B. Segment BC has linearly distributed torque of intensity r(x) = T0/3L of opposite sign to that applied along AB. Also, the polar moment of inertia of AB is twice that of BC and the shear modulus of elasticity of the material is G. Find the reaction torque RA. Find internal torsional moments T(x) in segments AB and BC. Find the rotation t0 Find the maximum shear stress tmaxand its location along the bar, Draw the torsional moment diagram (TMD:T(x),0 < x < L).