In the equation ly-k,²A, ky is the: Radius of gyration - the measure of the distribution of the area from the y-axis. Perpendicular distance from the y-axis to the centroid of the area. Diameter of gyration - the measure of the distribution of the area from the y-axis. Perpendicular distance from the z-axis to the centroid of the area.

Q: = constant 5. Bernou lli's equation is expressed as asY'2g Research on the corresponding units por…

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Q: rm and (b) magnitude (leng

A: Given:- u=3,-2 v=-2,5 To find:- Component form and magnitude of the vector

Q: Determine the location of centroid with respect to the given axes.

A: The equation of parabola is given as, y2=kx consider x=a and y=b, Then , At (a, b) b2= k×a k= b2a…

Q: If the magnetic meridian is to the left side of the true meridian, declination is said to the…

A: Line joining true north and true South pole of earth along earth curvature is known as true…

Q: Show the following limit does not exist х — у lim (x,y)→(0,0) x +y

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Q: Eij A body is subject to the following strain distribution. x² + 2yx 3 + 10zx +10xy 3+10zx 5y + z2x…

A: Given data:- ∈ij=x2+2yx3+10zxz3+10xy3+10zx5y+z2xx2+2yz2z3+10xyx2+2yz2x2+y2×10-2

Q: 90 MPa 55 MPa 70 MPa y 70 MPa 55 MPa -90 MPa 65° L he state of stress on an element relative to the…

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Q: 24 The truss shown is the same as in Example 2.1 except that the area of bar ab is a variable. E =…

A: sinϕab = 662 + 42 = 652     , cosϕab = 452sinϕac = 35    ,    cosϕac = 45 Modulus of Elasticity (E)…

Q: 2. The following displacement field is applied to a certain body =k(2x+y²), v=k(x² − 3y²), w=0 where…

A: To determine the distorted configuration of the two-dimensional element, the displacement field…

Q: y F2 30° X.

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Q: 5. For the cross-section below fill in the required values i b. Locate the centroid of the cross…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Determine the angle between 2 Vectors A and B. A= 12i+8j+9k, B=18i-8k - Determine the dot product of…

A: The given data is: Vector A = 12i+8j+9k Vector B = 18i-8k

Q: β = 0.2 and α = 6.3

A: Given:- The increase in speed from rest to 50 mph in 3.8 sec The increase in speed from rest to 65…

Q: The profile above depicts two joined profiles, each of width h. Find the centroid, X. of the total…

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Q: find the moment of ineretia of the solid formed by revolving about oy the area bounded by a^2y=x^3,…

A: To find moment of inertia about y axis

Q: The quarter ring shown has a mass m and was cut from a thin, uniform plate. Knowing that r1 = fr2,…

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Q: Find the laplace transform for the equation f(x) = 3e^-5

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Q: Consider the rod shown. Suppose that hℎ = 170 mm, r = 290 mm. Determine the location (x,y)  of the…

A: The Centroid is the center of mass of the section of beam. It is considered as the center point of…

Q: The displacement u(x.t) of a string of length 1= 2 and constant c2 = 4 with both ends fixed and…

A: given Dataf(x)=x2-2xu(x,t)=(1,2)let us check dfdxat x= 1=2x-2dfdxat x=1=2(1)-2=0the initial…

Q: 90 MPa 55 MPa 70 MPa 55 MPa 90 MPa 65° TE 70 MPa The state of stress on an element relative to the…

A: Given :   Required : Original state of stress and angle of rotation  Stress at rotated element…

Q: If the beam will be subjected to a shear force of V=190 kN, determine the shear stress at point H,…

A: Given, h=390 mm tw=12 mm d=100 mm t=8 mm V=190 kN A=2312 mm2 Iz=205150000 mm4   The section is…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given . by the vectors u, v and w…

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Q: Calculate the Jacobian matrix of the element shown below. (0,4) (0,0) (2,0) (3,2)

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Q: .. Consider the following wooden T-beam on its side. It consists of two wooden parts glued together.…

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Q: A rectangular tetrahedron has six sides of length 9 cm. If a force of 600 N is applied along edge BC…

A: Let the length be lForce be…

Design of structures using FEA

An arrangement, in which various members are interconnected with their constrained relative motion, the whole arrangement is then known as a structure. The degree of freedom of such a structure is zero. In such a structure, the load can act throughout the length of the structure or at the joints.