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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.

Elements Of Electromagnetics
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
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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 F 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.
Transcribed Image Text: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 F 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.
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