3.11e If the deformation mapping of a body in a naval machine is given by x(X) = (X + AXz)ên + (Xz+ BXı)êz+X3êng, where A and B are constants. Determine the components of the Euler strain tensors.

Q: If n1 is an eigenvector for a strain tensor, prove it is also a principal direction for the stress…

A: The relative change in the position of points within a body that has experienced deformation is…

Q: [o] = 0 -30 25 -30 25 -40 -15 MPa -15 0 (2) a. Find the traction vector (force per unit area)…

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Q: Diagonalize the following inertia tensor and find the princ kes.

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Q: origin (0, 0, 0). Use the Right Cauchy Green strain tensor to determine whether these elements in…

A: Definition Right Cauchy-Green strain tensor:The Right Cauchy-Green strain tensor, C, is a symmetric…

Q: Find a unit vector in the direction in which f increases most rapidly at P and find the rate of…

A: Given f(x,y) =5y3x2 ;(-2,-1)

Q: 4) Determine the magnitude of the resultant force and its direction, measured counterclockwise from…

A: As per given Question  We have to determine magnitude of resultant force and direction of x axis

Q: Calculate the applied force on the below object and show the exact location of the force. ▷ Each…

A: Given : The each unit is The value of g isThe free body diagram is,

Q: Find solutions for the divergence and curl of the vector field y at (1, 0, -1). v (x, y, z) = x²z²į…

A: The vector field is V=x2z2i⇀+xyzj⇀+zcosy4k⇀. The position is (1,0,-1) The divergence is ∇·V is the…

Q: EX (1): Find the two components of the force ( 100 N ) if : 0 = 30° , 120° 270° %3D

A: In a forced system, Force can be distributed in two components such as 1) Horizontal components 2)…

Q: Use Stokes' Theorem to evaluate  F · drwhere C is oriented counterclockwise as viewed from above.…

A: For solution refer below images.

Q: Problem 3.2 If ni is an eigenvector for the strain tensor, show it is also a principal direction for…

A: The relative change in the position of points within a body that has experienced deformation is…

Q: The equilibrium configuration of a deformed body is described by the mapping X(X) = AX1 ê₁ - BX302 +…

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Q: Line sources m1 and m2 are near point A, as in Fig. If m1= 30 m2/2, find the value of m2 for which…

A: Separate diagram for m1 and m2 . Value of V1 and V2 , V1=m15 m/sV1=305 m/sV1=6 m/sV2=m25 m/s

Q: Find the work done by the vector force field F(x, y) = x°i+x?yj on an object as it moves in %3D

A: When we apply a force over a body and it moves at some distance then we say work is done and is…

Q: 250 N where X = 350 N and Y = 600 N. Direction: 0= N 30° Calculate the magnitude and direction of…

A: To findCalculate the magnitude and direction of the resultant force.GivenX = 350 NY = 600 N

Q: (c) y(x) = 1, r= √√√√√x² + y² + z² I 2

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Q: 3. Vector and Tensors Consider the following tensor: --() 3 2 -1 T = 2 1 1 4. and the vector, v =…

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Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.