A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 216 mm and a wall thickness of 10 mm. Segment (2) has an outside diameter of 124 mm and a wall thickness of 14 mm. The shaft is subjected to torques Tg = 34 kN-m and Tc 15 kN-m, which act in the directions shown. Determine the maximum shear stress magnitude in segment (2).
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- A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 212 mm and a wall thickness of 9 mm. Segment (2) has an outside diameter of 139 mm and a wall thickness of 11 mm. The shaft is subjected to torques TB = 47 kN-m and Tc = 24 kN-m, which act in the directions shown. Determine the maximum shear stress magnitudes 7₁, 72 in each shaft segment. Answers: T1 = i T2 = i (1) (2) MPa. MPa.
- A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 200 mm and a wall thickness of 10 mm. Segment (2) has an outside diameter of 150 mm and a wall thickness of 10 mm. The shaft is subjected to torques TB = 42 kN-m and TC = 18 kN-m, which act in the directions shown in Figure. Determine the maximum shear stress magnitude in Segment (2). J1= 54019686 mm4J23D 21551281 mm4 TB Tc (2) O 88.8 MPa 62.3 MPa O 44.4 MPa 124 6 MPaÀ solid 0.96-in.diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the shear stress magnitude in shaft (1). 10 Ib-A 50 Ib-ft 70 Ib-ft (1) (2) 30 Ib-f (3) 827 psi O 880 psi O 956 psi 691 psi O 739 psiA solid 14 mm diameter steel shaft is fixed to a wall at E. Torques are applied to gears A, C and D as shown. Determine the maximum shear stress in the shaft and the rotation angle for gear A. G = 80 GPa 40 N•m 280 N m 0.5 m 150 N-m B 0.3 m P. 100 mm 0.4 m (a)
- The shaft consists of three concentric tubes, each made from the same material and having inner and outer radii as given below. Length of shaft is 2m. One end is fixed to the wall and to the other end a disc is attached. If a torque of T =800 N.m is applied at the disc end, determine the maximum shear stress in the shaft. 1. Inner tube: r; = 20mm, r, = 25 mm 2. Center tube: r; = 26 mm, r. = 30 mm 3. Outer tube: r = 32mm, r, = 38mmA compound shaft consists of an outside tube (1) and an inner tube (2) that are fully connected together. Determine the maximum allowable torque that could be applied to the compound shaft if the allowable shear stress in the outer shaft is Tall, 1 = 83 MPa, and the allowable shear stress in the inner shaft is Tall,2= 62 MPa.[G₁ = 32 GPa, G₂ = 22 GPa, d₁ = 101 mm, d₂ = 83 mm, d3= 56 mm] Answer: dz d₂ d₁ Tube (1) Tube (2) kN.mThe aluminum shaft, composed of three segments is fastened to rigid supports as A and D. Calculate the maximum shear stress in each segment when the two torques are applied. A 400 N-m 850 N-m L=1.4 m 30 mm diameter B L=2.4 m 50 mm diameter L-1.9 m 30 mm diameter
- A fixed-end shaft is subjected to torques T1 (Nm) and T2 (Nm) as shown in the figure. If the shear modulus of elasticity is Gahat= 20 GPa, and shaft diameters are D, (mm) and D2 (mm) determine the angle of twist at point C, ØCIA- D1=100mm D2=30mm T1=800NM T2=200NM D1=100mm T(Nm) B D2=30mm |T;(Nm) A L=300mm Section for point A =900mm Section for points B and C Results Table ОСА (rad.)-A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an allowable shear stress of 59 MPa. Segment (2) is a solid aluminum shaft with an allowable shear stress of 84 MPa. If a torque of Tc=29400 N-m is applied at C, determine the minimum required diameter of the brass shaft d₁ and the aluminum shaft d2. Tc Answers: d₁ = d₂ = i (2) B A mm mmA solid 40 mm diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Assume TA = 532 N-m, Tg = 1330.0 N-m, Tc= 1064 N-m, and Tp = 266.0 N-m. Determine the magnitude of the maximum shear stress in the shaft. Answer: Tmax= i D Tp (3) C Tc MPa (2) B TB (1) TA