A segment of a generator shaft is subjected to a torque T and an axial force P, as shown in the Figure Q3. The shaft is hollow (outer diameter d2= 300 mm and inner diameter di = 250 mm) and delivers 1800 kW at 4.0 Hz. If the compressive force P = 540 kN, determine the stresses produced and the state of plane stress on its surface. Calculate the principal stresses and the maximum in-plane shear stress in the shaft. Specify the orientation of the element in each case. (а) (b)

A segment of a generator shaft is subjected to a torque T and an axial force P, as shown in the Figure Q3. The shaft is hollow (outer diameter d2= 300 mm and inner diameter di = 250 mm) and delivers 1800 kW at 4.0 Hz. If the compressive force P = 540 kN, determine the stresses produced and the state of plane stress on its surface. Calculate the principal stresses and the maximum in-plane shear stress in the shaft. Specify the orientation of the element in each case. (а) (b)

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

Solid Mechanics In the figure, solid copper rod with expansion coefficient αB = 165.10-7 1 / 0C It is 20 mm in diameter. Inner diameter is 2mm larger than this bar and expansion into a steel pipe of 30 mm outer diameter with coefficient αÇ = 125.10-7 1 / 0C so that they move together. It is combined with a rigid plate. System with temperature difference Δt = 80 0C Find the stresses that will occur in steel and copper when heated. (Eç= 200 GPa, Eb= 100 GPa)
= 1.3-18 A stepped shaft ABC consisting of two solid，circular segments is subjected to uniformly distrib uted torque i，acting over segment 1 and concentrated torqueT₂applied at C，as shown in the figure。Seg ment 1 of the shaft has a diameter ofd₁= 57 mm and length ofL₁= 0.75 m; segment 2 has a diameterd₂= 44 mm and lengthL₂= 0.5 m。Torque intensity1₁3100 N m / m andT₂= 1100 N·m。（a）Find reaction torque T at support A.（b）Find the internal torque T（x）at two locations：
4 m www.muthalinc.com Q3. The shaft shown in Fig.3 is carries R1 Figure P-68R=15 R=15cm two pulleys each weighs 400 N. The allowable shear and normal stresses are 56 and 84 MPa, respectively. The ratio of the belt tension are as shown in the B. 2F Fig. Determine the maximum permissible value of the shaft diameter if the belt 40 cm 100 cm 40 cm tension if the shaft transimit power 10KW with 1000 r.p.m...
Mechanics of deformable bodies
Q2: Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of active turns. (b) Find the spring rate. Assume the material is A228 music wire. (e) Find the force F, required to close the spring solid. (d) Find the shear stress in the spring due to the force F, 120 mm M W 3.4 mm 50 mm
3 A hollow thin disc of 60 cm outer diameter and 40 cm inner diameter is running at 1440 r.p.m. Calculate the maximum intensities of radial and hoop stresses. At what radius the radial stress is maximum ? Density of disc material = 7800 kg/m³. Poisson's ratio = 0·30. %3D %3D
A rotary blade rotates at 3500 rev/min. The steel blade has a uniform cross section 3 mm thickness by 30 mm in wide, and has a 12 mm-diameter hole in the center as shown in the figure. Estimate the maximum tensile stress at the central section due to rotation. Use steel density as 7800 kg/m
The steel alloy shaft having a diameter of 38 mm is used to transmit torque, T as shown in Figure Q2(c ). If the allowable shear stress of the shaft is 81kPa (i) Determine the maximum torque T that can be transmitted by the shaft. (ii) What would be the maximum torque T' if a 25 mm diameter hole is bored through the shaft? (iii) Sketch the shear-stress distribution along a radial line in each case. T T' Figure Q2(c)
A 3 m long steel angle shown in the figure has a section thickness of 12.7 mm and a cross sectional area of 4350 mm². Since tem = 50 MPa and G = 77.2 GPa, find the maximum applicable torque T.
Solid cylindrical shaft with bending moment M = 440 Nm, torque T = 40 Nm and shear as shown in the figure V = 700 N is exposed to the force. Analytically analyze the principal stresses and their directions at point A. obtain with formulas and also with Mohr's circle
Q6: A thin steel cylinder 1 m long, of 150 mm internal diameter and plate thickness of 5 mm, is subjected to an internal pressure of 7 MN/m²; the increase in volume due to the pressure is 2.36 x 106 m³. Find the values of Poisson's ratio and the modulus of rigidity. If, in addition to the internal pressure, the cylinder is subjected to a torque of 190 N.m, and axial tensile force at the ends of 650 N, determine the magnitude of the principal stresses set up in the cylinder and their directions. Assume the Elasticity modulus, E = 210 GN/m².
An open-coiled helical spring consists of 12 coils, each of mean diameter 60 mm, wire diameter 6 mm and helix angle 25°. An axial load of 120 N is applied to the spring. Calculate (a) axial de- flection, (b) bending and shearing stresses, and (c) axial torque which shall produce a bending stress of 50 MPa in the coils. Take E = 200 MPa, and G = 84 GPa.