Question 3 (a) One end of a wire of length L and diameter d is attached to a high ceiling. The wire hangs vertically under its own weight. Under these conditions: (i) Calculate the highest stress in the wire (ii) Calculate the elongation of the wire (b) If the wire is now laying horizontally on a smooth surface and attached to a wall at one end, what force must be applied to the other end of the wire for the elongation to be the same as in part (a). Assume the following properties for the wire: E=29 x 10° psi, d=0.50 in, L=60 ft and specific

Question 3 (a) One end of a wire of length L and diameter d is attached to a high ceiling. The wire hangs vertically under its own weight. Under these conditions: (i) Calculate the highest stress in the wire (ii) Calculate the elongation of the wire (b) If the wire is now laying horizontally on a smooth surface and attached to a wall at one end, what force must be applied to the other end of the wire for the elongation to be the same as in part (a). Assume the following properties for the wire: E=29 x 10° psi, d=0.50 in, L=60 ft and specific

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.1P: A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the...

See similar textbooks

Similar questions

When a thin cylinder is subjected to an internal pressure p, the tangential stress should be the criterion for determining the cylinder wall thickness. Explain.
A steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter . The internal diameter of the hoop formed by the band is 29.98cm . By how much will it be necessary to increase the temperature of the hoop, so that it would slide over the surface of the cylinder ? What stress will occur in the hoop when it reaches the same temperature as the cylinder , if the deformation of the cylinder may be neglected ? (Write complete solution)
A tensile force. of 120 kN is applied on a 0.02-m diameter and 2-m long rod. After applying the load, the diameter decreases to 0.01998 m and the length increases to 2.01 m. The true stress on that rod is?
A steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter. The interval diameter of the hoop formed by the band is 29.98cm. By how much will it be necessary to increase the temperature of the hoop, so that it would slide over the surface of the cylinder? What stress will occur in the hoop when it reaches the same Temperature as the cylinder, if the deformation of the cylinder may be neglected?
A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is.....
A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14 GPa and the minimum radius of the cylinder to support the load is 32mm , by what percentage will the length of this cylinder be reduced? Compare the result with steel. (E.L.Steel=24 GPa).
A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14 GPa, what must be the minimum radius of the cylinder in order for it to support the load? By what percentage will the length of this cylinder be reduced? Compare your results with steel. (E.L. steel = 24 GPa )
A steel rod bolt 8mm diameter inside fits loosely on an aluminium tube and 16mm outside diameter. A nut is fitted into the bolt and tighten against the tube, until the stress in the bolt is 40N/mm². Calculate the stress in the tube. If the temperature of the assembly is now increased by 100°C. What will be the new stress in each component?
A very fine fabric 0.020 mm in diameter can support a 20 g object. How does the stress in the fabric compare with the ultimate strength in tension of copper
A constant wind blowing against the side of this chimney has caused creeping strains in the mortar joints, such that the chimney has a noticeable deformation. Explain how to obtain the stress distribution over a section at the base of the chimney, and sketch this distribution over the section.
When a cylindrical body is subjected to uniaxial tensile force, which types of stresses are formed within the body? Show the locations of stresses on an appropriate sketch.
A thick walled cylinder, of internal diameter 160 mm and external diameter 320 mm, is subject to an internal and external pressure as shown in Figure 1. If the external pressure is 10 MPa and the maximum circumferential (hoop) stress permitted on the inside wall of the cylinder is limited to 30 N.mm-2, what is the maximum internal pressure that can be applied? A) What is the maximum internal pressure that can be applied? B) What will be the change in the outside diameter when this pressure is applied? (E = 207 GPa, ν = 0.29)