An element of material is deformed as depicted in the figure. Assuming that the modulus of rigidity.... 3 in.4 in.D2 in.EAn element of material is deformed as depicted in the figure. Assuming that the modulus of rigidity of this material is3900 ksi and a force V = 3000 kip is applied. Determine respectively_the shear strain and d in inches.Perform your calculations with 6 decimals of precision and answer the questions with 3 decimals of precision.In your answers do not include signs and units - answer in the appropriate units when these are not specified, or inthe requested units, when such is specified.

Answered: as depicted in the figure. As

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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Source: Gere & Goodno (2013). "Mechanics of Materials" Problem 1.5-4 1.5-4 A circular bar of magnesium alloy is 750 mm long. The stress-strain diagram for the material is shown in the figure. The bar is loaded in tension to an elongation of 6.0 mm, and then the load is removed. (a) What is the permanent set of the bar? (b) If the bar is reloaded, what is the proportional limit? (Hint: Use the concepts illustrated in Figs. 1-36b and 1-37.) 70 63 56 49 (MPa) 42 35 28 21 14 7 0 0.002 0.004 0.006 0.008 0.01 E PROB. 1.5-4 Answers: a) ≈4.25 mm, b) 66 MPa.
Instructions: Solve the problems listed below. Provide all the solutions required and working steps should be shown in detail. Mohr diagrams should be accurately drawn (not drafted) by either manually using graph paper or computer generated. The Mohr diagrams should beclearly labeled and complete.
Solve it
If Young's modulus of some material is 150 GPa and shear modulus is 50 GPa, find the poisson's ratio of that material.
A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40kN. The modulus of elasticity for steel may be taken as 200 kN/mm2. Find stress, strain and elongation of the bar due to applied load.
.
Young's modulus of elasticity and Poisson's ratio of a material are 1.25 x 105 MPa and 0.34 respectively. The modulus of rigidity of the material is: (a) 0.4025 x 105 MPa (c) 0.8375 x 105 MPa (b) 0.4664 x 105 MPa (d) 0.9469 x 105 MPa
The loaded frame shown in Fig. 1, is supported at A (fixed support) and B (roller support). C is an internal hinge. The cross section of the frame is shown in Fig.1(b). (a) Find reactions at supports A and B. (b) Find normal stress (ox-x) and normal strain (ɛx-x) at section X-X. (c) Find shear stress (Tx-x) and shear strain (yxx) at section X-X. (d) Elastic modulus and shear modulus of steel are, Es = 200 GPa and Gs = 70 GPa respectively. 180 kN 16 kN/m 25 150 25 Hinge 90 kN-m 3 25 2 m 4 m 250 8 m 25 all dimensions are in millimeter B Fig. 1 (b) 4 m 4 m 4 m 4 m 4 m Fig. 1 (a)
A torsion bar is rigidly mounted to vehicle frame at point A, and load from wheel, F is acting at point D, as shown in Fig. 1. In the event that pin-joint at C is broken, it can no longer constrain the torsion bar from experiencing bending load. A set of strain rosette is bonded at point B, 50mm from A, for strain measurement. The properties of torsion bar are given as: diameter=50 mm, E=200 GPa, G-80 GPa, v-0.3. Calculate the following when F-2200N: i. Principal stress at point B and sketch the stress element. ii. Maximum in-plane shear stress at point B and sketch the Mohr's circle. iii. Absolute maximum shear stress at point B. iv. The strain rosette reading, &a, 6s and €c at point B. Torsion bar Rigid fixing to vehicle frame Lever Strain rosette configuration at arm point B, viewed from top 1000mm 300mm Fig. 1

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