The total volume of inherent strain longitudinal direction is Vx = Kq. H
Q: 4. Given a shear stress of T-35 MPa and a shear modulus of G= 75 GPa, the shear strain is most…
A: Given data Shear stress=35 mpa Shear modulus =75 gpa We have to determine shear Strain
Q: Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC is 8 in. long, and the…
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Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
A: Answer: (a) Average normal strain = 0.0833 in./in. (b) Circumfential strain = 0.0833 in./in.
Q: If the stress is 33 MPa and Modulus of elasticity is 58.7 MPa. What is the strain value. Apply hooks…
A: Given data Stress= 33mpa Modulus of elasticity= 58.7 mpa We have to find strain value
Q: A force P is applied to ring A connecting the two wires together. As a result, point A is displaced…
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Q: A sheet of material is subjected to a two-dimensional stress system in the x-y plane. At a given…
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Q: If the principal stresses in a plane stress problem are ơ1 = 100 MPa, ơ2 = 40 MPa, the magnitude of…
A: Write the given values along with suitable variables.
Q: Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring…
A:
Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
A: INTRODUCTION: As we know, strain is always the change in body dimension to the original body…
Q: The state of plain strain at a point in a body is given by €x = 800 x 10-6, €y = 200 x 1076, and yy…
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Q: Please include a free body diagram Solve for: a) Normal strain in the x- direction −4.0 ×…
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Q: Find the strain Stress-43.5 MPa E=56 MPa
A: Given data : Modulus of elasticity=E Stress=σ To find : Strain
Q: The Strain along the length direction of the block subjected to 3 mutually perpendicular forces as…
A: Given , Px is positive , Py and Pz are negative
Q: The state of plane-stress at a point is given by o = 200 MPa, o, = 100 MPa and = 100 MPa. The…
A: It is very basic numerical of plane stress. Concept used is Maximum shear stress under biaxial…
Q: Q3 / The 45° strain rosette is mounted on articular cartilage element. Figure Q3 shows the readings…
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Q: On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages…
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Q: sions of the tee shape are b- 22 mm, d- 33 mm, and t 4 mm. After loads are app rmal strain of 410 He…
A: To find : calculate applied load P. Given; Eal=77 GPa cross section dimension of beam at different…
Q: The strain in the x-direction at point A (shown in fig.) on the steel beam is measured and found to…
A: Given, εx = 139 x 10-6 E = 204 GPa ν= 0.3
Q: The state of strain in a plane element is Ex = -300 x 10-6 , Ey= 450 x 10-6, and Yxy = 275 x 10-6.…
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Q: Take longitudinal strain 0.02
A: Given data : Longitudinal strain εL=0.02 Poisson's ratio μ=0.5 To find : Lateral strain
Q: Find the strain in rod if initial length of rod is 190 mm and change in length of rod is 0.0112 mm
A: Given data : Initial length=L Change in length=∆L Required : Strain
Q: 200 400 300 f the components of stress at point p given by 400 Мра , 300 0 -100 hen the stress…
A: Option (III) is correct. [1600/3 400/3 100/3 ]
Q: E, = 200.00 pE Eb = 400.00 pe E = 150.00 pe 600 The strain rosette shown was used to obtain normal…
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Q: Q2 / The 60° strain rosette are mounted on articular cartilage element. Figure Q2 shows the readings…
A: Consider the diagram shown below for the strain rosette. The general equation for the strain in a…
Q: Find the value of strain Initial length=120 mm Change in length=0.02 mm
A: Given data : Initial length=L Change in length=∆L Required : Strain
Q: Prove that : 2 strain Energy= %3D 2GJ -x Volume 4G
A: Strain energy due to axial load PU=12P×δLSimilarlyStrain energy due to torsion TU=12×T×θ ......1Now…
Q: The principal plane stresses and associated strains in a plane at a point are s1 = 36 ksi, s2 = 16…
A: Given: The values of principal stresses are s1=36 ksi and s2=16 ksi. The values of strains are…
Q: A= 1200 mm?. Use Strain Energy Method 35 kN - 4m B 84 kN 4m 3m
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Q: 4. Given a shear stress of T35 MPa and a shear modulus of G-75 GPa, the shear strain is most nearly…
A: Given data : Shear modulus is denoted by G Shear stress is denoted by ζXY Required : Shear strain
Q: Show that the following strain components are the solutions of a problem in elasticity. E, = 2xy, E,…
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Q: 1.40 Given a major principal strain of 600u and strain invariants /, = 400µ and /, = - 4800µ, find…
A: Solution: Given Data: σ1=600μI1=400μI2=-4800μ
Q: A 60˚ strain rosette measures the following strain at a point on the aluminum skin ofan airplane. ϵ0…
A: Solution:
Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…
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Q: the principal stresses at a point H on the surface of the vessel and the absolute maximur shear…
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Q: Part 1 A thin square plate PQRS is symmetrically deformed into the shape shown by the dashed lines…
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Q: Find the strain Initial length=100 mm Change in length=0.567 mm
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Q: Find the strain Initial length=102.78 mm Change in length=0.004 mm
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Q: The 60° strain rosette shown below, is mounted on the surface of a thin shell. The following…
A: GivenEa=-780×10-6 Eb=400×10-6 &Ec=500×10-6∴ It in a delta connection∵(En)θ…
Q: 5 -1 -1 If ɛ ij= -1 4 0 then principle strain values is -1 0 4 Ɛ; = 5,2,6 .1O E=3,2,6 .1I O Ej…
A: εij = εxxγxy2γxz2γyx2εyyγyz2γzx2γzy2εzz = 5-1-1-140-104
Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
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Q: QUESTION 4 The following figure represents a cross section through a long opening. The magnitudes of…
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Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
A: Given data Initial Diameter = d = 1.95 inFinal Diameter = D =2.05 in
Q: Determine the Poisson's ratio if the lateral strain is -0.1 and longitudinal strain is 0.4 Select…
A: Given data : The value of lateral strain is=-0.1 The value of longitudinal strain=0.4 To find :…
Q: some element, the displacement is obtained as u = [1 + 3x +4y +5xy]x10^(-3) mm. The normal strain…
A: A fluid element in the flowing fluid may have the translation, rate of deformation, and rotation. It…
Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…
A: Find the strain along diameter and circumferential .
Q: natural strain at point B
A: Given; Figure shows the true stress and true strain hardening material.Point A is loading up…
Q: Given data: Longitudinal strain 0.35 Lateral strain3-0.25 Determine Poisson's ratio
A: Given data : Lateral strain=εLt Longitudinal strain=εL To find : Poisson ratio
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- Which of the following is the unit for electrical conductivity? Select one: O (Q-m) -1 O (Q-mm) O m/S O Q-m In a stress strain curve of mild steel, the elastic limit will be before the limit of propor ype here to search 99+ hp fs 米 f5 f6 f7 1- f8 fg & 7 V 3 6. 8. 9/6 4+ %24 %23In a stress strain curve of mild steel, the elastic limit will be before the limit of proportionality. Select one: O True O False The following figure represents Body Centered Cubic structure Select one: O True e here to search 99+ hp fs f6 f8 fg 3 & 7 LO %24When stress is applied to a liquid over an application time tp the liquid needs a relaxation time tc to accordingly deform. Relaxation time tc is a physical property of liquids. The Deborah number is De= tdt, . The lower the Deborah number of a stress applied to a material the more.. : Select one: O The material behaves like a solid O The material behaves like visco-elastic O The material behaves like a liquid
- Find the axial stress (Subscript[\[Sigma], z]) and axial strain (Subscript[\[Epsilon], z]) for a thick-walled circular pipe subjected to an internal pressure Subscript[p, i] for the following three cases:a) the pipe is long and open (plane strain)b) the pipe is short and open (plane stress)c) the pipe is is closedExpress the above solutions in terms of the pressure Subscript[p, i], the the pipe inner and outer radii and the material constants.Consider the following strain state: [0.0016 0.0003 [0] = 0.0003 0.0008 0 0 0 0 0.0004] a. Determine the strain matrix for this strain state if the axes are rotated 30° counterclockwise around z-axis. b. Plot Mohr's circle for this strain state.Question 1 The wedge shaped bar shown in Figure Q1 is to be analysed using a single one dimensional quadratic element as shown. The bar has a rectangular cross section with a constant width and a linearly varying depth. 500 k = 10E 2 100 3 Figure Q1. +1] a) Calculate the strain shape function matrix, [B], for the element. b) Using the strain shape function matrix derived in (a), show that the stiffness matrix for the element is given by the equation: I 255+ ALL DIMENSIONS IN mm (3-5) d h 100- with units of N/mm Where: E = Young's modulus of the material 10 c) Show how the strain shape function matrix may be used to determine the stress from the nodal displacement for this type of element. Do not attempt to calculate the stress. LEGION Question 2 Figure Q2 shows a two-dimensional quadratic element that has been distorted such that one Q Search
- The graph shown below shows the Modulus of Elasticity (E) of different materials with respect to temperature (°C). 240 210 170 140 100 -Carbon Steel, C < 0.3% -Nickel Steels, Ni 2% - 9% 70 Cr-Mo Steels, Cr 2%-3% Copper -Leaded Ni-Bronze -Nickel Alloys - Monel 400 35 -Titanium rengineeringtoolbox.com -Aluminium -300 -200 -100 100 300 400 500 600 700 800 Temperature (degc) a) Which material is the most ductile with increasing temperature? b) Which material is the least ductile with increasing temperature? c) Discuss the change in ductility (brittle / ductile behavior) occurring for different materials. Also, comment on why Young's modulus changes with temperature. E-modulus of elasticity (GPa)Q 5(b) Given the Cauchy strain tensor below where 1 = 1.6, calculate the following: (i) First strain invariant (ii) Second strain invariant (iii) Third strain invariant. C =Give True or False for the following: 1.In liquids and gases, heat transmission is caused by conduction and convection 2.The surface geometry is the important factor in convection heat transfer 3. The heat transfer by conduction from heated surface to the adjacent layer of fluid, 4. The heat transfer is increased in the fin when &> 1 5.The unit of the thermal diffusivity is m²/s 6. Temperature change between the materials interfaces is attributed to the thermal contact resistance 7. A material that has a low heat capacity will have a large thermal diffusivity. 8. Heat conduction flowing from one side to other depends directly on thickness 9.Fin efficiency is the ratio of the fin heat dissipation with that of no fin 10.The critical radius is represented the ratio of the convicted heat transfer to the thermal conductivity
- Problem 1: (50 points) In Avengers 2, Captain America's improved shield is made from unobtainium, a new material that will soon be available in a store near you. Unobtainium has the normal stress- strain diagram shown. The proportional limit, the elastic limit and the yield point are identical in this material. o [MPa] 2001 175 150 125 100 Fig.1 Normal stress-strain 75 50 25 0 0. 0.05 0.1 0.15 0.2 0.25 Unobtainium has a Poisson's ratio of 0.3. a. [6pts] Identify the yield point oy, the ultimate stress ou and the fracture stress of. Include units. c. [25pts] A bar of unobtainium has a length of 1.5 m, a width of 100mm and a height of 50 mm, as shown. The cross-sectional area is 50mm 100mm = 5 x 10-³m². The bar is subjected to an axial force of 375 kN. Find the normal stress in a cross-section of the bar. b. [5pts] How do you find Young's modulus from this graph? Find its value with units. whesta fins dus al hoss P = 375 KN 1.5 m 0.3 50 mm 100 mm & [mm/mm] Is the material within its…Question 2 Study the table below and answer the questions that follow. Coercivity (kA/m) BH max (kJ/m³) Material Curie temperature (°C) A 19.90 8 887 В 0.08 0.04 771 C 1 500 175 723 238.85 28 429 2.2. a) On the same set of axes draw and clearly label the hysteresis loops for materials B and C. b) Explain any two features of the hysteresis loops you drew in (a). c) Suggest an application for material B. Justify your answer.CALCULATE THE FOLLOWING: We performed the experiment to measure MATERIAL 1 - BRASS the thermal conductivity of 2 materials (Brass & Steel) in the laboratory and measured the following tabulated values: Calculation for Brass Quantities Values Material 1- BRASS Calculated Power (Q') W (Diameter = 25mm) Area of cross section (A) m2 Power Difference in Temperature Temperature (°C) between two points (AT) °C Difference in distance between two points (Ax) m Q' 1 2 3 (W) Thermal conductivity of brass (kp) W/m°C 4 5 6 8 9. 14.65 79 77.4 76 50.1 46.5 42.4 36 34.5 33.6 MATERIAL 2 - STEEL Calculation for Steel Material 2 - STEEL %3D Quantities Values Calculated (Diameter = 25mm) %3D Power (Q') W Power Area of cross section (A) m2 Temperature (°C) Difference in Temperature between two points (AT) °C Q' 1 |(W) Difference in distance between two points (Ax) m 2 3 7 8 14.2 88.6 87.5 85 33.9 33.6 32.4 Thermal conductivity of steel (kg) W/m°C