10.5 (B) A compound tube of 300 mm external and 100 mm internal diameter is formed by shrinking one cylinder on to another, the common diameter being 200 mm. If the maximum hoop tensile stress induced in the outer cylinder is 90 MN/m³ find the hoop stresses at the inner and outer diameters of both cylinders and show by means of a sketch how these stresses vary with the radius. [90, 55.35-924, 57.8 MN/m²]

10.5 (B) A compound tube of 300 mm external and 100 mm internal diameter is formed by shrinking one cylinder on to another, the common diameter being 200 mm. If the maximum hoop tensile stress induced in the outer cylinder is 90 MN/m³ find the hoop stresses at the inner and outer diameters of both cylinders and show by means of a sketch how these stresses vary with the radius. [90, 55.35-924, 57.8 MN/m²]

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

A 2.4 diameter steel molding is lifted by 4 steel cables as shown. The mold weighs 3 kN/m. (a) what is the required diameter of wire that will not exceed the allowable stress of 120 MPa. and (b) if the wire diameter increase by 20%, find the vertical displacement of the molding. 24m
Q1/ (A) - The mechanism of femur bone is approximated as a circular tube (3 cm and 2 cm are the outer and inner diameter respectively) under loads as shown in figure Q1-A, determine the state of stresses at the points A and B. 40 cm 5 cm 380 N Figure Q1-A 300 N
A thick-walled cylinder with closed ends has internal and external radii 100 mm and 180 mm respectively, is subject to internal and external pressures of 148 MPa and 58 MPa respectively. Apply Lame's equations to find the following: Radial and hoop stresses at radii 120 mm, 140 mm and 160 mm respectively. (a) (b) Axial stress of the cylinder.
:Construct a Mohr circle using below information and label it appropriately. Using Mohr circle, find out maximum and minimum principal stresses and their orientation. Show them in a differential volume of element. 100 MPa 75 MPa 150 MPa
6.13 A brass rod is a firm fit inside a steel tube 2 cm inside diameter and 4 cm outside diameter when the materials are at 15°C. If the rod and tube are now heated to a temperature of 150° C, calculate the maximum stresses in the brass and steel. Take the coeffi- cient of expansion for steel and brass as 10.8 × 10-6 and 18 x 10-6 per °C respectively. For steel E = 200 GPa and for brass E = 85 GPa. Poisson's ratio for both = 1/3. Neglect longitudinal frictional forces between the rod and the tube. %3D eleo
Problem 5: (D2) You are an engineering intem at a manufacturer of mechanical tools, your senior engineer asked you to evaluate the stresses on a newly-design brass eye-bolt, shown in Figure.7, to confim it's not exceeding its yield strength. The bolt dimensions are (d, R) = (8, 12) mm. The task can be completed by calculating the stresses at the inner and outer surfaces of section B – B. located at an angle of 40° from the positive x-axis, when the load is F = 0.4 kN. R FA B
Problem 3. Strains are measured on the surface of a structural component as &A = = 1200 x 10-6. EB = 500 x 10-6, &c = 300 × 10-6. E = 200 GPa and v = 0.3. b) a) Find the principal stresses and show these on a sketch of a properly oriented element. Use Mohr's Circle to find the stresses at 0 = 30° counterclockwise from the x axis and show these on a sketch of a properly oriented element. y 60° C B A X
PROBLEM 3. The stress condition at one point in the tail region of the National Combat Aircraft is shown in the figure. (a) Calculate the principal stresses (b) Calculate the maximum in-plane shear stress and the average normal stress by analytical method and plotting the Mohr's circle. For each case, determine the element orientation and plot the stress state. (c) Calculate the maximum absolute shear stress at the same point. 40 MPa TAI 200 MPa 80 MPa
1. For the two cases i.e. (a) 2D and (b) 3D shown below, find the principal stresses, maximum shear stresses and directions by using Mohr’s circle. Support your answers with diagrams. 41 GOMPa 60MPR Txy=40MPA 40MPA (a) (b)
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 120 MPa, Sy = 163 MPa, and Sxy = 65 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Sy Sxy Sx
Consider the following plane stress state: Ox=30 MPa, y= -60 MPa, Txy= 30 MPa cw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis ( 2. Principal normal stresses (01, 02) The principal normal stresses are σ₁ = 39.08 3. Maximum shear stress (7) The maximum shear stress is 54.08 MPa. 4. The angle from the x axis to 0₁ (p) The angle from the x axis to 0₁ (p) is -16.85 5. The angle from the x axis to 7 (s) The angle from the x axis to T (s) is 28.15 6. The radius of the Mohr's circle The radius of the Mohr's circle is 54.08. ✰ MPa. MPa and 02 = -69.08 MPa. O -15 MPa, CW CCW O MPa).
The loaded frame shown in Fig. 1, is supported at A (fixed support) and B (roller support). C is an internal hinge. The cross section of the frame is shown in Fig.1(b). (a) Find reactions at supports A and B. (b) Find normal stress (ox-x) and normal strain (ɛx-x) at section X-X. (c) Find shear stress (Tx-x) and shear strain (yxx) at section X-X. (d) Elastic modulus and shear modulus of steel are, Es = 200 GPa and Gs = 70 GPa respectively. 180 kN 16 kN/m 25 150 25 Hinge 90 kN-m 3 25 2 m 4 m 250 8 m 25 all dimensions are in millimeter B Fig. 1 (b) 4 m 4 m 4 m 4 m 4 m Fig. 1 (a)