(Consider the stress tensor in a given point of a body): 2 1 Oij 2 0 2 1 2 0 (Determine o rag and identify the plane (the versor of its normal) for which the stress vector is a null vector.)

Q: The 2D stress field in a body is described by o = where c is a constant cx² Determine the two…

A: σ=cy200cx2 σxx=cy2 σyy=cx2 τxy=τyx=0 εxx=σxxE-νσyyE=cy2E-νcx2E εyy=σyyE-νσxxE=cx2E-νcy2E γxy=γxy=0…

Q: 1. Draw the axial force diagram 2. Write down the governing equations 3. State the boundary…

A: Given data, Area of section 1 is A1 Length of section 1 is L Area of section 2,  A2=-32ALx+52A…

Q: A bead of mass 0.1kg is bound to a linear track which connects the points (1,2,3) and (-1,2,4). The…

A: Write the given data. m=0.1 kgP1=1, 2, 3P2=-1, 2, 4F=xy2z, x, z2

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)…

A:

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

A:

Q: Evaluate the surface integral. /[(x + y + 2) ds, (x + y + z) ds, S is the parallelogram with…

A: Please refer to the detailed solution given below, Answer - Integral I = 405.96

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: 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: As shown, the cable OA exerts a force on point O of P = P₂i+Pyj+ P₂k. (Figure 2) If the cable's…

A: Here we will calculate the unit vector and compare the three components to get the values.

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

A: For solution refer below images.

Q: words, describe the difference between the magnitude of a vector and the direction. In addition,…

A:

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 +…

A:

Q: why is the derivative taken?

A: To understand the above solution, consider a polynomial equation as shown below.

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

A:

Q: Plz answer this engineer math question ASAP,and used parameter equation,thx find the derivative…

A:

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

A:

Q: 6. What is the vector cross product ŕ × v? r = −3i+3j4k and = -4i- 4j + 3k

A: Absolutely! Here's how to find the vector cross product r x v:1. Set up the Determinant:The cross…

Q: Calculate the angle between AB and AC cables, between AD and AC cables. Calculate the vector…

A:

Q: two dimensional conservation force is zero on the X and Y Axes and satisfied condition (dfx/dy)=…

A:

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.