A block made from polymer is fixed to rigid plates at its top and bottom surfaces, as shown in Figure 1. The top plate is subjected to a horizontal force F. Choose an integer number in the range of 2 kN ≤ F≤9 kN for the value of F. Under this load the top surface displaces 3 mm horizontally. Assuming the polymer is deforming with a linear elastic behaviour and the width of the plate is 150 mm. 300 mm 100 mm. Figure 1 (a) Determine the shear stress and shear strain in the block. (b) Determine the elastic modulus E of the polymer if the Poisson ratio is v = 0.35. (c) As a mechanical designer you aim to decrease the deformation of the upper surface by 80% under the same load, what type of changes do you propose to the component in Figure 1? (d) Assuming the component is under plane stress condition, draw Mohr's circle for the state of stress in section (a). (Please note, the dimension is not important for drawing the circle) (e) From the Mohr Circle, determine the principal stresses.

A block made from polymer is fixed to rigid plates at its top and bottom surfaces, as shown in Figure 1. The top plate is subjected to a horizontal force F. Choose an integer number in the range of 2 kN ≤ F≤9 kN for the value of F. Under this load the top surface displaces 3 mm horizontally. Assuming the polymer is deforming with a linear elastic behaviour and the width of the plate is 150 mm. 300 mm 100 mm. Figure 1 (a) Determine the shear stress and shear strain in the block. (b) Determine the elastic modulus E of the polymer if the Poisson ratio is v = 0.35. (c) As a mechanical designer you aim to decrease the deformation of the upper surface by 80% under the same load, what type of changes do you propose to the component in Figure 1? (d) Assuming the component is under plane stress condition, draw Mohr's circle for the state of stress in section (a). (Please note, the dimension is not important for drawing the circle) (e) From the Mohr Circle, determine the principal stresses.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.8.11P: A joint between two glass plates A and B is filled with a flexible epoxy that bonds securely to the...

See similar textbooks

Similar questions

A plastic rod is 200mm long and 15mm in diameter. If a tensile load of 300N is applied to it, determine the change in its length and the change in its diameter. Assume Modulus of elasticity (E) = 2.70 GPa, and poisson's ratio (v) = 0.4. indicate free body diagram
A copper rod with a diameter of 19 mm, modulus of 110 GPa, and a Poisson’s ratio of 0.35 is subjected to tension within the elastic region. Determine the force ( in N) that will produce a reduction of 0.003 mm in the diameter. I The answer is supposed to be 14,063 but im getting something else. Can you show how its supposed to be 14,063
A tube has 25mm outside diameter and an axial tensile load of 40 kN. If the strain on the tube is limited to 0.1% and density of 7800kg/m^3, what is the maximum internal diameter of the tube in mm?
A band of polymer is to hold together a bundle of steel rods for up to one year. if the stress on the band is less than 1300 psi, the band will not hold the rods tightly. determine the initial stress that must be applied to the polymer band when it is slipped over the steel. A series of tests showed that an initial stress of 1000 psi decreased to 980 psi after 5 days. (1yr. = 12 mos = 52wks)
You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m). The material has a Young’s modulus of 72 GPa. If a tensile load of 3 kN is applied parallel to the 2.3m dimension, what is the change in length of the rod?
If the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively, What is the axial strain in the cylinder wall at mid-depth?
A 100 mm x 100 mm x 100 mm cube made with glass polymers in the y- direction is subjected to a tensile load of 100 kN along the y-direction. However, the cube is constrained against deformation in the x and z directions. Given the following properties: Ex = 20 GPa Ey = 50 GPa Ez = 20 GPa vxy = 0.25 vxz = 0.5 vyz = 0.25 (a) Compute for the change in length of the cube in the y-direction and; (b) Determine the stresses, σx, σy, σz
A bar is 500 mm long and is stretched to 505 mm with a force of 50 kN. The bar is 10 mm diameter. Determine stress, strain and elastic modulus.
A tensile force of 200 KN is applied on a 0.02-m diameter and.2-m long rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. Assuming no permanent deformation occurs in that material, the modulus of elasticity (GPa) is?
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 steel rod 4m long and 20mm diameter is subjected to an axial tensile load of 45kN. Find the change in length, diameter and the volume of the rod. Take E = 2 x 105 N/mm2 and Poisson's ratio = 0.25
The is a rope that just cannot stretch more than 0.6 cm from a tensile force of 500N without breaking. What is the minimum radius that the rope must have if it is .5kg and .6 meters long? The Young’s modulus for this material is 35*10^9 Pa.