Problem 3.15. A hollow aluminium tube of rectangular cross- section as shown in Fig. 3.27 is subjected to a torque of 56-5 kN.m along its longitudinal axis. Determine the shearing stresses and the angle of twist. Assume G = 28 GPa. 0.5m t2 = 0.006 ↑ 0.25m t3 t₁ = 0.012 = 0.01 (a) t4=0.006 h ti (b) Membrane surface Fig. 3.27. ***

Problem 3.15. A hollow aluminium tube of rectangular cross- section as shown in Fig. 3.27 is subjected to a torque of 56-5 kN.m along its longitudinal axis. Determine the shearing stresses and the angle of twist. Assume G = 28 GPa. 0.5m t2 = 0.006 ↑ 0.25m t3 t₁ = 0.012 = 0.01 (a) t4=0.006 h ti (b) Membrane surface Fig. 3.27. ***

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

Strength of materials 2
1) What is the minimum diameter of a solid steel shaft that will not twist through more than 3° in a 6 meter length when subjected to a torque of 14k N.m?What maximum shearing stress is developed ?Use G=83GPA.
Mechanics Lesson The 6 kN force is in the vertical direction, while the P=7.5 kN force is in the z direction.Since the safe shear stress is 60 MPa, determine the smallest allowable diameter of the AD shaft.
Problem 74 A thin uniform disc of 25 cm diameter with a cen- tral hole of 5 cm diameter runs at 10,000 r.p.m. Calculate the maximum principal stresses and the maximum shearing stress in the disc. Poisson's ratio = 0-3 and density of material = 7470 kg/m³. %3D %3D
1
100 kip 10 kip ft The 4-in. diameter shaft shown above is made from a ductile brass alloy. Which of the following are closest to the principal stresses in the shaft? 01 = 31.8 ksi 02 = 76.4 ksi = 94.0 ksi 02 = -62.1 ksi O0g - 14.3 ksi 02 = -6.37 ksi Oo= 7.96 ksi 02 = 9.55 ksi
2) A hollow tube constructed of metal is subjected to five torques acting in the directions shown in the figure. The tube has an outside diameter of 1.0 in. The allowable shear stress is 12,000 psi. The shear modulus is 9500 ksi. The length between AB, BC, CD and DE is 2ft. a) Draw the internal torque diagram for the shaft using the rules we discussed in class. Based on the allowable shear stress, design the inner diameter of the shaft in inches. b) c) Using your answer from part (b), calculate the total rotation between points A and C in radians. Be sure to track which direction each portion of the shaft is rotating. T₁= TB = T, = Tc= 1000 lb-in. 500 lb-in. 800 lb-in. 500 lb-in. A B D d₂ = 1.0 in. T₂= 800 lb-in. E
1. Two steel springs arranged in series as shown in the Fig supports a load P. The upper spring has 10 turns of 20- mm-diameter wire on a mean radius of 80 mm. The lower spring consists of 8 turns of 15-mm diameter wire on a mean radius of 70 mm. If the maximum shearing stress in either spring must not exceed 150 MPa, compute the maximum value of P and the total elongation of the assembly. Use G = 79 GPa. Compute the equivalent spring constant by dividing the load by the total elongation.
Problem 1. A shaft with a diameter d = 60 mm must transfer a torque of 350 Nm by using a key joint. The key has the following standard dimensions: b x h x 1= 18 mm X 11 mm x 50 mm. Calculate the stresses.
A steel shaft with a length of 3.00 m. One meter of the steel is contained in a brass tube and firmly attached. The diameter d1 = 70 mm and the diameter d2 = 90 mm. Brass G = 39GPa and steel G = 77.20 GPa. Determine: The torque that can be applied if the deformation at one end is 10 degrees. Answer: T = 8.64 kN – m The torque that can be applied if the maximum shear stress in brass is 70MPa and in steel is 110MPa. Answer: T = 6.352 kN – m Recommendation: analyze by segments. The first segment is only brass, then the composite part between brass and steel, and the last part only steel. In the composite segment, use only one material. In this same segment, equalize the deformations.
Please help me with Mechanics of Deformable Bodies. Please include solutions. Thank you!
An aluminum thin‐walled tube of hollow rectangular cross‐section, Figure 1,is subjected to a torque of magnitude, T = 15360 N.m. If the tube lengthis, L = 1 m , and the shear modulus of aluminum is, G = 28 GPa.1. Determine the total angle of twist of the one‐meter long tube.2. Determine the shear stresses on the walls of the tube cross‐section.Where does the maximum shear stress occur?