Determine the shear strain ??? at the corners C and D if the plate distorts shown by the dashed lines. (2) Determine the average normal strain that occurs along the diagonals AC and BD.

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A: To find (a) The normal strain in cable AB initially when member CBD rotates by 0.3°. (b) The…

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Q: PROBLEM 2: The recangular plate is deformed into the shape of a rhombus shown by the dashed line…

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Q: The rigid bar AB is supported by a pin at A and by the wire BD. 2,5 m If the load P causes point C…

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Q: 6. Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L…

A: Given:P=8 KNL=400 mmν=0.35E=70 GPa

Q: a3) Determine the shear strain at corner D and the normal strain of the diagonal CA if the shape is…

A: Shear strain is the strain caused due to the applied force in the longitudinal direction.

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Q: A single vertical force P is applied to a short steel post as shown. P is eccentrically loading the…

A: o, = Eɛ, Here. E is the young's modulus and 6, is the strain at A Substitute 29x10 psi for E and…

Q: Q/1_prove that true stress Ở True = O Eng (1+ €Eng) 2- prove that true strain ETrue = In(1+ EEng),…

A: TO PROVE :- σtrue=σeng(1+εeng)εtrue=ln(1+εeng)

Q: Can the Mohr’s circle be used to determine the principal strains, the maximum strains, the maximum…

A: Mohr's circle is a graphical method to find the principal stresses and strains of the material.

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A: Forces acting perpendicular to the cross section of the body are normal forces. They can be either…

Q: Q.3 The below given initially square plate has an edge length of 50 mm. Determine the normal and…

A: Given that, Side of the square, a=50 mm,Displacement in y-direction=2 mm, The given figure is shown…

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Q: Prove that the sum of the normal strains in perpendicular directions is constant, i.e., P x+ P y = P…

A: Sum of strains in X and Y directions are Sum of strains in perpendicular X and Y directions are

Q: What happens if the in-plane principal strains are of opposite signs? then theabsolute maximum shear…

A: Given: The maximum principal strain is ϵ1=ϵXY/2. The minimum principal strain is ϵ2=-ϵXY/2.

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: Determine natural strain at point B

A: Given; True stressσ, true strain(ε) diagram of a strain hardening material is shown in figure.First…

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Q: The initially square element of a material is deformed as shown. Determine the shear strain of the…

A: According to the given information,…

Q: The strain components E, Ey, and Vyare given for a point in a body subjected to plane strain. Using…

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Q: A thin rectangular plate is uniformly, deformed, as shown. Determine the shear strain yy at P.…

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Q: Determine the shear strain yry at corners A and B if the plastic distorts as shown by the dashed…

A: In the following figure we have to determine the shear strain at corners A and B.

Q: Determine the relations among the constants ao, a1, b, b1, Co, €1, and c2 so that the following is a…

A: This is the case of 2D stress conditon since the strain in Z-direction =0Then we can apply the…

Q: 1. The following state of strain has been determined on the surface of a cast-iron machine part: =-…

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Q: The strain components ɛx = 520 µE, ɛ, = 800 µɛ, and yxy = -350 µrad are given for a point on the…

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Q: b) Define volumetric strain. Prove that the volumetric strain fora rectangular bar subjected to an…

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Q: 3. Invert the plane stress form of Hooke's law and express the stress in terms of the strain…

A: Given data: poission's ratio=μElastic modulus=E Need to show the proof of given expressions.

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A: The diagram shown is the stress-strain curve. It is developed using the UTM during the tensile…

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Q: , =-300(10-9), e, = 100(10-9), Yay = 150(10-). Determine the equivalent state of strain, which…

A: Given conditions; ∈x=300×10-6 ∈y=100×10-6 γxy=150×10-6 Principal planes are those planes in which…

Q: The rectangular plate is deformed into the shape shown by the dashed lines. If ?? has a normal…

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Q: The 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa =…

A: Write the given data:

Q: 10–11. The state of strain on an element has components €x = -150(10-6), €, = 450(10-"), Yxy =…

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Q: 1.4 Derive an expression for the local uniform strain across the neck of a round bar being loaded in…

A: Solution :- Given data :- d =80% =0.80

Q: A tri-axial state of stress, σx , σy, and σz ,exists in a steel machine part. For steel, E = 200GPa…

A: Given data:

Q: The head H is connected to the cylinder of a compressor using six 316-in. diameter steel bolts. If…

A: Given Data σy=40ksiEst=29000 ksi Find out the cross-sectional area A=πd24=π43162=0.027597 in2

Q: The average normal strain and half the maximum in-planeshear strain is determined from the circle as…

A: In the Mohr's circle for the component under strains, the magnitude of the average normal strain is…

Q: (a) Due to a loading, the plate (ABCD) is deformed into the dashed shape shown in Fig. 1(a). the…

A: Given data: θ=60° Need to determine the average normal strain along the side AB and average shear…

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A: Reaction force acting ay point B is RB=900×32×3×13×13=450 N The cross section area is…

Q: circle for sx = sy = txy = 2 kPa. On the circle, label the axes and the principal stresses and their…

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Q: The 45° strain rosette is mounted on a steel shaft. The following readings are obtained from each…

A: Given data: Strain rosette of 45° angle is attached to the steel shaft                    εa…

Q: A 200 meter cable is suspended vertically. At any point along the cable, the strain is proportional…

A: lc= Length of the Vertically Suspended Cable=200 mεmin=Minimum Strain in Vertically Suspended…

Q: A loading causes the wires to elongate into the dashed shape. Explain how to determine the normal…

A: It is known that length of the wire AB is lo and final length be l. lo=LAB             and…

Q: natural strain at point B

A: Given; Figure shows the true stress and true strain hardening material.Point A is loading up…

Q: On the free surface of an aluminum [E = 10500 ksi; v = 0.33] component, the strain rosette shown was…

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Q: 15.3 (B). Show that the strain energy per unit volume of a material under a single direct stress is…

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Q: If the in-plane principal strains are of opposite signs, then theabsolute maximum shear strain…

A: Given Data⇒in-plane principal strains are of opposite signsProblem definition⇒Problem says  If the…