10.8 (B). A compound cylinder is formed by shrinking a tube of 200 mm outside and 150 mm inside diameter on to one of 150 mm outside and 100 mm inside diameter. Owing to shrinkage the radial stress at the common surface is 20 MN/m². If this cylinder is now subjected to an internal pressure of 100 MN/m² (1000 bar), what is the magnitude and position of the maximum hoop stress? [164 MN/m³ at inside of outer cylinder.]

10.8 (B). A compound cylinder is formed by shrinking a tube of 200 mm outside and 150 mm inside diameter on to one of 150 mm outside and 100 mm inside diameter. Owing to shrinkage the radial stress at the common surface is 20 MN/m². If this cylinder is now subjected to an internal pressure of 100 MN/m² (1000 bar), what is the magnitude and position of the maximum hoop stress? [164 MN/m³ at inside of outer cylinder.]

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

What is the maximum allowable stress of a composite lay-up of S-glass fiberglass, thickness of .008 inches, with 21 plys? Will it withstand 1000 psi?
The height of the down sprue is 175 mm and its CS are at the base is 200 mm² The CS area of the horizontal runner is also 200 mm² Assuming no losses, indicate the correct choice for the time (second) required to fill a mould cavity of volume 106 mm³ (Use g=10 m/s^ 2 )
Explain this one of the assumptions in using the flexural and shearing stresses. -the beam is initially straight and of uniform cross section
A compound thin cylinder has a common diameter of 100 mm and the inner cylinder has a thickness of 2,5 mm. The radial pressure between the two cylinders is 200 kPa and the difference between the two common diameters before shrinkage was 4,305 X 10~3 mm. Determine the (a) thickness of the outer cylinder; (b) resultant hoop stresses in both cylinders if the compound cylinder is subjected to an internal pressure of 180 kPa (E = 200 GPa).
Are the thin-walled tubes of noncircular cross-section often used to constructlight-weight frameworks such as those used in aircraft?
After finding shear rate and shear stress in cgs units, a) repeat using SI units
A compound cylinder is formed by shrinking one cylinder over another, the final dimensions being, inner diameter = 150mm, diameter at the junction = 200mm, outer diameter = 250mm. If the radial pressure at the junction due to shrinkage is 40N/mm2, calculate: (a) Initial stresses in the cross section of the tube. (b) If a fluid pressure of 80N/mm2is admitted in the compound tube calculate the final stresses. Plot the variation of hoop and radial stress across the wall thickness.
A rectangular plate 125 mm long, 10 mm wide, and 3 mm thick is formed from fused silica (aka fused quartz). It is tested in 3-point bending until it fails with a modulus of rupture of 110 MPa at a load of 66 N. Assume the central load point is on the top of the beam. a. How far apart must have been the lower supports? b. What was the maximum stress (magnitude and sign) on the top side of the beam halfway between the centralload point andtheleft-handlowerload point? c. What was the stress (magnitude and sign) directly beneath the central load point exactly 1.5 mm from the top surface? d. If the same plate was tested in pure tension, would the stress at failure probably be higher or lower than measured by 3-point bending? Why?
What is the maximum allowable stress of a composite lay-up of S-glass fiberglass, thickness of .008 inches, with 21 plys?
What are the standard SI units for Internal shear force?
Ram a farmer, managed to grow shaped-watermelons inside glass cases ofdifferent shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid,cylindrical along with the normal spherical shaped watermelons. Thickness of the skinwas same for all the shapes. Each of the glass cases was so designed that the totalvolume and the weight of the all the water-melons would be equal irrespective of theshape. A customer wants to buy water-melon for making juice, for which the skin of the water-melon has to be peeled off, and therefore is a waste. Which shape should the customer buy?
Example 10.11 The drive shaft of a car with diameter 30 mm is designed to transmit a power of 50 kW when rotating at 2100 rpm. The drive shaft material has an allowable shear stress of 230 MPa. i) Determine the maximum shear stress in the shaft. ii) In order to reduce the weight of the vehicle, a hollow shaft is proposed with a maximum outer diameter of 30 mm. Determine, the maximum inner diameter iii) Determine the resultant percentage weight reduction