1.Derive a relation for the shear stress developed in a shaft, when it is subjected to torsion.2. State the assumptions made in deriving a bending formula.CTorsional and Bending Stresses in Machine Parts▪ 1793. Prove the relation: M/I= G/y= E/Rwhere M = Bending moment; I= Moment of inertia; o = Bending stress in a fibre at a distance y fromthe neutral axis; E = Young's modulus; and R = Radius of curvature.4. Write the relations used for maximum stress when a machine member is subjected to tensile or com-pressive stresses along with shearing stresses.5. Write short note on maximum shear stress theory verses maximum strain energy theory.6. Distinguish clearly between direct stress and bending stress.7. What is meant by eccentric loading and eccentricity?8. Obtain a relation for the maximum and minimum stresses at the base of a symmetrical column,when it is subjected to(a) an eccentric load about one axis, and (b) an eccentric load about two axes.

Dear student, According to the guidelines I am allowed to answer only one…

Answered: 1. Derive a relation for the shear…

Engineering

Mechanical Engineering

1. Derive a relation for the shear stress developed in a shaft, when it is subjected to torsion.

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

PLEASE ANSWER ALL OF THIS QUESTION ASAP!!!
1. The endurance limit for rotating shaft, if its ultimate strength Su=1600 Mpa is:
A steel shaft (G = 80 GPa) with an external drive of 30mm must transmit a torque of 2700 N-m. The allowable shear stress in torsion is 120 MPa and the allowable rotation for the member is 0.1 rad / m. Design to the nearest millimeter the internal radius required for the steel drive
Q.2 (a) A hollow steel shaft of length 1.75 m transmits 2000 kW of power at a speed of 150 rev/min. The inside diameter is to be 0.75 times the outside diameter. The maximum allowable torsional shear stress for the steel is 130 MN/m and the modulus of rigidity (G) for the steel is 83 GN/m?. Given that a factor of safety of 2 is required for the shaft, determine: i) the torque acting on the shaft; ii) the required external and internal diameters for the shaft; ii) the torsional shear stress set-up in the shaft material at the inside surface of the hollow shaft, and sketch the stress distribution through the shaft wall; iv) the angle of twist (in degrees) due to the torque.
6. A 2.5 in.-diameter steel propeller shaft of a boat transmits 2800 hp @ 1800 rpm. Bending and axial loads are negligible. Clearly draw and label necessary schematic diagrams and list necessary assumptions. (a) What is the shear stress at the surface of shaft? (b) If a hollow shaft of inside diameter 0.88 times outside diameter is used, what outside diameter would be required to give the same outer surface stress? (c) Compare weights of the solid and hollow shafts. What is % saving in weight of shaft material if hollow shaft is used? (d) As a design engineer, what important lesson have you learned from solving this this? (e) What is Polar Moment of Inertia?
(BB) Q1: The shaft, as shown in Fig. is driven by pulley B from an electric motor. Another belt drive from pulley A is running a compressor. The belt tensions for pulley A are 1500 N and 600 N. The ratio of belt tensions for pulley B is 2.5. The diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable shear stress for the shaft material is 85 MPa. Taking torsion and bending factors as 1.25 and 1.5 respectively, find the shaft diameter. C # -100- A B -150-100 D TB2 All dimensions in mm. B A TAZ TAI TB1
A solid steel shaft will not twist through more than 3 degrees in a 6-m length when subjected to a torque of 12 KN*m. The modulus of rigidity of the steel shaft is 83 GPa. Determine; a) Diarneter of the shaft. (. b) Maximum shearing stress developed in the shaft.
3. A solid circular shaft is 1.8 m and is made of steel with G = 70 GPa. When rotating at w = 70 rad/s, it transmits 28 kW of power from engine A to generator B. As the design engineer, you are asked to: (a) Determine the shaft's smallest allowable radius if the allowable shear stress is T allow = 80 MPa. (b) Determine the shaft's smallest allowable radius If the allowable angle of twist is allow = 0.1 rad (in other words, the shaft is restricted not to twist more than 0.1 rad). (c) If both conditions (a) and (b) are required simultaneously, which radius will you select as the allowable radius. (In other words which condition controls the situation)? Briefly explain your answer. (1 kW = 1000 Watts) B
8.8 (A/B). Opposing axial torques are applied at the ends of a straight bar ABCD. Each of the parts AB, BC and CD is 500 mm long and has a hollow circular cross-section, the inside and outside diameters being, respectively, AB 25 mm and 60 mm, BC 25 mm and 70 mm, CD 40 mm and 70 mm. The modulus of rigidity of the material is 80 GN/m³ throughout. Calculate: (a) the maximum torque which can be applied if the maximum shear stress is not to exceed 75 MN/m²; (b) the maximum torque if the twist of D relative to A is not to exceed 2. [E.I.E.] [3.085 kNm, 3.25 kNm]
A solid 2.9-in.-diameter bronze [ G = 7100 ksi] shaft is 8-ft long. The allowable shear stress in the shaft is 10.2 ksi and the angle of twist must not exceed 0.034 rad. Determine the maximum horsepower P that this shaft can deliver: (a) when rotating at 182 rpm. (b) when rotating at 644 rpm.
A composite shaft is comprised of an inner solid steel shaft 1/6 ft in diameter slipped over with a hollow bronze shaft of 1/4 ft outer dimater and 1/6 ft inner diameter and of the same length as the steel shaft. The two shafts are then fastened rigidly together at their ends. For steel, G = 12 × 106 psi, and for bronze, G = 6 × 106 psi. What torque can be applied to the composite shaft without exceeding a shearing stress of 12,000 psi in the steel or 8,000 psi in the bronze?