For the area shown, determine the following. a. Find the rectangular moments of inertia Ix and ly, the polar moment of inertia Jo, and the radii of gyration kx, ky, and ko. Y (6, 18) b. Find the centroid of the area (x, y). c. Using the theorem of Pappus and Guldinus, determine the volume obtained by rotating the area about the y-axis. 2 y = x2 Coordinates are in units of inches.

Q: Determine the horizontal Displacement at C. Use Virtual work method 8K 5 ft 5 ft. B 5 K I= 900 in 12…

A: Let's E = 29000ksi

Q: Use the energy methods, virtual work or second theorem of Castigliano, to find the vertical…

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Q: В D 60 kN 300 300 4 m 200 (300 300 100 kN 6 m 6 m

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Q: Find the measure of the angle (in degrees) made by the resultant of the concurrent forces with…

A: The given figure is shown below:

Q: Please fast answer

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Q: 60 k 3 k/ft A В C -10 ft- 10 ft- 10 ft- El = constant E = 29,000 ksi I = 4,000 in.4 %3D

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Q: 1. Draw the free-body diagram of cach object. N N N

A: Note: Since we only answer up to 3 sub-parts, we'll answer the first 3 sub-parts. Please resubmit a…

Q: 10 mm. the second moments of area T., T., and with respect to centroidal x' and y' axes. In…

A: Given, Wall thickness = 10 mm Moment of inertia is found by considering each wall separately

Q: Determine the slope and displacement at C. El is constant. Use Conjugate Beam Method. Take E =…

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Q: 45° 30°

A: Draw the figure,

Q: Compute the vertical displacement at joint G. the area of all bars A = 5 in?, and E = 29,000…

A: The virtual work method, also known as the virtual force method or the unit-load method, is a means…

Q: Q# 2: Determine the Moment of Inertia about x-axis (Ix) and y-axis (Iy) of the area shown in figure…

A: The moment of inertia can be computed by the relationship of the parallel axis theorem for single…

Q: ind the total energy of shape change and the horizontal and vertical displacement at Point C

A: Given frame: To determine:Total energy of shape changeHorizontal displacement of point CVertical…

Q: 3) Use Castigliano’s Second Theorem to find the horizontal displacement of point C in the frame…

A: Draw FBD: Supposing an imaginary moment at point D:

Q: Compute the value of P and distance X so that the bar A will remain horizontal after the application…

A:

Q: 2. Find the distance x (measured along AB) at which a horizontal force of 60 lb should be applied to…

A: A force applied in a direction parallel to the horizon is called horizontal force. Generally it is…

Q: Using the theorem castilgliano, calculate the horizontal displacement of point D with Castigliano's…

A: Assigning Pseudo load 'P' at D as shown in diagram, P=0

Q: 2. Using the double integration method, determine the displacement at point Cin the beam shown. Use…

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Q: Find the moment of inertia with respect to y-axis the area bounded by * a?y = x³, the x-axis, and…

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Q: 4. For the beam shown, determine the vertical displacement of point B. Use Virtual Work Method. E =…

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Q: 2. (CASTIGLIANO'S THEOREM) Determine the vertical displacement of point B of the beam shown below.…

A: Given data: E=200 GPaE=200×106 kPaI=150×106 mm4I=150×10-6 m4EI=30000 kN.m2

Q: (CASTIGLIANO'S THEOREM) Determine the vertical displacement of point B of the beam shown below. E =…

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Q: In the figure, compute the vertical and horizontal components of displacement of joint E produced by…

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Q: Calculate the horizontal displacement of the tip.

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Q: 40 kN 15 kN/m EI EI 30 kNm B. 3m A 6m

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Q: 10 in. 8 in. 2 in. 6 in. 5 in.

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Q: Solve for ? in the equation 62(3?−2) = 324

A: 62(3?-2)=324 So need to find ?

Q: Find the measure of the angle (in degrees) made by the resultant of the concurrent forces with…

A: Appreciate if there is detailed work with explanation and finds you helpful for ease of…

Q: Find Vertical displacement of point A by using Castigliano's theorem.

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Q: 1. The rectangular plate is rotating about its corner axis through O with a constant angular…

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Q: Problem 2 Determine the horizontal displacement at A. Take E = 29 x 10 ksi. The moment of inertia of…

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Q: Using the slope-deflection method, determine: a) Reactions, Internal forces of the elements,…

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Q: 3. Determine the horizontal displacement of point C. El is constant. Use Virtual Work Method.…

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Q: 10 k/ft Problem 3: 9–23. Determine the displacement at point D. Use the principle of virtual B work.…

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Q: 2. Find the distance x (measured along AB) at which a horizontal force of 60 lb should be applied to…

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Q: Determine the moments of inertia Iu, Iυ and the product of inertia Iuυ for the rectangular area. The…

A: Calculate MOI about x and y-axis:

Q: Draw the deflection diagram of the beam. Then using the double integration method, derive the…

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Q: QI/ Find the horizontal displacement at C, and O, by using Virtual Work Method, if you know E = 200…

A: Consider the given data

Q: 5. Find the moments of inertia of the rectangular solid shown here with respect to its edges by…

A: Given:- The rectangular solid is shown with respect to its edges The dimension of the rectangle on…

Q: Use Castigliano's Theorem to determine the slope at joint B in radian. I = 2340x10®mmª and the E =…

A: Given data                  I = 2340x106mm4                  E=200 GPa = 200×109 N/m2

Q: Determine the vertical displacement at joint A, if members AB and BC experience a temperature…

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Q: a. Horizontal displacement of joint G due to the applied loads in mm b. Horizontal displacement of…

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Q: Determine the equation of slope and deflection of point B in the figure shown. Use Macaulay’s…

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Q: Determine the slope and the vertical deflection of point C for the beam shown below. 30kN 20kN 2 m 1…

A: Given that:

Q: Calculate the deflection of point C

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Q: Use Cramer's rule to solve the linear system x + y + 3z = 1 x + 3y + z = 2 x + y + 3z = 3

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Q: QI. The three concurrent forces acting on the screw eye produce a resultant force FR 0. If F2= 0.8…

A: Free body diagram -

Q: Problem 01: Determine the vertical and horizontal displacement of point C take EI = Constant A 10ft…

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Q: Refer to the figure shown a = 23 x 10/°c E = 70 GPa 900 mm2 11.7 x 10/°C %3D E = 200 GPa 1,200 mm2 A…

A: Useful given data  For member- AB  Length (LAB) = 300 mm Cross section area (A1) = 1200 mm2 E1 =…

Q: Determine the slope and displacement at C. El is constant. Use Conjugate Beam Method. Take E =…

A:

Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.