A bar of 80 mm diameter and 800 mm Length is subjected to an axial load of 200 kN. It elongates by 0.30 mm and the diameter decreases by 0.01 mm. What is the Poisson's ratio of the material of the bar?

A bar of 80 mm diameter and 800 mm Length is subjected to an axial load of 200 kN. It elongates by 0.30 mm and the diameter decreases by 0.01 mm. What is the Poisson's ratio of the material of the bar?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

2. Shown below are pieces of unsaid material. They are combined and locked in each other and a force P is pulling each side. Assuming that the Shear stress for the material is 38 MPa, Determine the force P needed to fracture the materials in shear. 30 mm 30 mm 80 mm Section A-A
Problem # 8: A bar made from aluminum (E = 72 GPa) has a diameter of 12 mm. When the bar is subjected to a tensile axial force P, its diameter is decreased by 0.018 mm. Assume the Poisson's ratio to be 0.33. Determine the value of loads P and its axial deformation. d = 12 mm P L 1.20 m P
A steel wire (E= 200 GPa) of diameter d= 1.25 mm is bent around a pulley of radius Ro= 500 mm. What is maximum stress in the wire?
Wire BC has a diameter of 0.10 in. And its material has the stress-strain characteristics shown in the figure. Determine the vertical displacement of the handle D if the pull on the handle is slowly increased and reaches the magnitude of P = 655 lb. o (ksi) 40 pulg 80 70 B 50 pulg - 30 pulg € (pulg/pulg) 0.007 0.12
A steel wire (E = 200 GPa) of diameter d = 1.0 mm is bent around a pulley of radius Ro= 400 mm (see figure below). Ro a. What is the maximum stress in the wire? b. Does the stress increase or decrease if the radius of the pulley is increased?
A hollow steel rod has a length of 1m. The outside diameter of the rod is 0.2m and the inner diameter is 0.18m. The rod is compressed axially with a load of 200kN. The modulus of elasticity and the Poisson's ratio of the rod are 200GPa and 0.3 respectively. Determine the decrease in length of rod.
At the proportional limit, a 45 mm wide by 9 mm thick bar elongates 2.5 mm under an axial load of 49.8 kN. The bar is 1 m long. If Poisson's ratio is 0.3 for the material, determine: (a) the modulus of elasticity. (b) the proportional limit. (c) the change in each lateral dimension. Answers: (a) The modulus of elasticity E = (b) The proportional limit OPL= i (c) The change in width= i The change in thickness= i i mm. mm. GPa. MPa
A bar of 400 mm length and a uniform cross-section 20 mm diameter is subjected to tensile load of 50 kN, assuming E = 200 GPa the elongation of bar is
2. A copper rod of diameter 12 mm is subjected to a compressive force of 8 kN. The change in diameter happens to be 4.5 x 103 mm. Determine the strain along the length of the material and the Poisson's ratio when E = 110 GPa.
* Your answer is incorrect. A solid plastic rod has a diameter of d = 21 mm and a length of L = 600 mm. An axial load of P = 24 kN is applied to the rod as shown. The elastic modulus is E = 2.6 GPa and Poisson's ratio for this material is v= 0.37. Determine the magnitude of the change in the rod diameter Ad for the given load. Answer: Ad= i -0.21 L mm
Situation 8: The rigid, horizontal slab is attached to two identical copper rods. There is agap A = 0.08 mm between the middle bar, which is made of aluminum, and the slab.Neglecting the mass of the slab, the temperature in in all rods by 60°C. Use the following data: Each bronze rod Aluminum rod 22. Compute the stress in bronze rod 23. Compute the stress in aluminum rod 24. Compute the deflection on the rods Bronze A (mm²) 650 480 A Aluminum a (/°C) 18.9 x 10-6 23.1 x 10-6 Bronze 850 mm E (GPa) 83 70
Question 6 Before the 400-kN load is applied, the rigid platform rests on two steel bars, each of cross-sectional area 1400 mm?, as shown in the figure. The cross-sectional area of the aluminum bar is 2800 mm?. Compute the stress in the aluminum bar after the 400-kN load is applied. Use E = 200 GPa for steel and E = 70 GPa for aluminum. Neglect the weight of the platform | 400 kN 0.1 mm Steel Aluminum Steel 250 mm