Task 3:A hollow aluminum alloy 6061-T6 shaft of outer radius c = 40 mm, inner radius b = 30 mm, and lengthL=1.2 m is fixed at one end and subjected to a torque T at the other end If the shearing stress is limitedto max = 140 MPa, determine (a) the largest value of the torque; (b) the corresponding minimum valueof shear stress; (c) the angle of twist that will create a shear stress min = 100 MPa on the inner surface.

Answered: Task 3: A hollow aluminum alloy 6061-T6…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Could you answer quickly pls? ( course: strength of materials 1)
Figure Q1 shows a shaft AB (modulus of rigidity G = 73 GPa) with a total length of 1270 mm that is fixed at both ends. Section AC is solid with a diameter of do = 80 mm, while CB is a hollow section with an internal diameter of di = 60 mm. An external torque T0 = 10 kN.m is applied at point D. (a) Determine the magnitude of the reaction torques at both supports if the distance x = 735 mm.
Part A The solid shaft cross-sections shown are subjected to the externally applied torques shown. Compare the corresponding shear stresses developed in each shaft at point P. P P 2 T Rank the solid shafts from the largest shear stress at P to the smallest shear stress at P. (For example, 4> 3 = 1 > 2). 0.5 T
Question (1): A stepped shaft ABCD consisting of solid circular segments is subjected to three torques, as shown in the figure. The torques have magnitudes 12.5 kips. in., 9.8 kips, in., and 9.2 kips. in. The length of each segment is 25 in. and the diameters of the segments are 3.5 in., 2.75 in., and 2.5 in. The material is steel with shear modulus of elasticity G = 11.6 x 103 ksi.(a) Calculate the maximum shear stress Tmax in the shaft. (b) Calculate the angle of twist (pp (in degrees) at end D. 13.5 in. 12.5 k-in. -25 in.- B 9,8 k-in. 12.75 in. -25 in.- 9.2 k-in. 12.5 in. c t -25 in.-
An aluminum shaft of two segments is shown below. Determine the allowable torque if the shear stress is not to exceed 30MPa and the angle of twist between the ends of the bar is not exceed 2.3°? (Assume G=80GPa)
A steel 0.75-in diameter shaft (G= 12,000 ksi) is subjected to the following torques in lb-ft: TA = 50; TB = 70; TC = 30; TD = 10. The directions of the applied torques are indicated in the figure. The bearings shown allow the shaft to turn freely. The length of each segment is equal to 38 in. (a) Plot a torque diagram showing the internal torque in segments (1), (2) and (3) of the shaft. Show the FBD of each segment using a double-headed arrow to represent each torgue. Use the same rule of signs as in the lecture. Determine (b) the maximum shear stress magnitude (ksi) in the shaft. (c) the rotation angle, in degrees, of pulley D with respect to pulley B. Note: Follow the rule of signs with FBD in each sections. Show complete step by step solution and proper FBD. Solid shaft: J = (₶/32 )( D4) Hollow: J = (₶/32)(D4 - d4)
(2) The shaft consists of a 3-in diameter aluminum segment that is rigidly joined to a 2-in diameter steel segment. The ends of the shaft are attached to rigid supports, Calculate the angle of twist developed at the interface of the two segments when the torque T = 50 kip in is applied. Use G = 4×106 psi for aluminum and G = 12×106 psi for steel. | Aluminum 3-in. diameter 6 ft T Steel 2-in. diameter 3 ft D
A 1.50-in.-diameter solid shaft is subjected to an axial force of P = 1700 lb, a horizontal shear force of V = 180 lb, and a concentrated torque of T = 2200 lb-in., acting in the directions shown. Assume L = 7.5 in. Section properties for the shaft are A = 1.7671 in.2, J = 0.497 in.4, Iy = Iz = 0.2485 in.4, and Q = 0.2812 in.3. Determine the normal and shear stresses at point K, and show these stresses on a stress element.
a) Figure Q5 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segment BC. The shaft is fixed at C and is subjected to two external torques TA and TB at points A and B, respectively. The torque developed at the fixed end C is 750 kN.m in the direction as indicated in the figure. i) Determine the values of TA and TB if the corresponding angle of twist of end A is zero. ii) Calculate the maximum shear stress developed in the shaft. Give your comment whether the shaft will fail or not if the allowable shear stress of the shaft is 75 MPa. 750 kN.m 1.4 m 0.8 m C 160 mm B Тв 200 mm- ΤΑ Section a-a Figure Q5 = [Ans: a) i) T 332 kN.m, TB=1082 kN.m, ii) TCB,max = 60 MPa, TBA,max=45 MPa]
What is the minimum diameter in mm of a solid steel shaft that will not twist through more than 3° in a 7-m length when subjected to a torque of 10 kNm? What maximum shearing stress is developed? G = 75 GPa
Question 48 A hollow aluminium shaft of 80 mm outer diameter & 60 mm inner diameter is rotating @ 5 Hz when constant 120 KW is applied. Use the following: G(alum)-28 GPa, a=1.80 m, b=0.80m & L=2.60 m. Assumed that the angle of twist is constant. The torque "T1" developed at left fixed support at a is____KN-m (A) 5.03 B) 3.82 C) 2.64 D) 0.48 (E) 1.18

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS