8. [AB, OB] Use the method of virtual work. (EI is constant)

Q: For the cantilever beam shown: B (2-a) Derive the expression for its maximum slope. (2-b) Derive the…

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Q: 14. [AB, 0B] Use the method of virtual work. (EI is constant / point A is pin and point C is roller)

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Q: In the following truss, calculate the horizontal and vertical displacement at n using first…

A: In Castigliano's first theorem, the first partial derivative of the internal energy (strain energy)…

Q: please solve this problem by the castigliano's method

A: Cross-sectional Area, A = 300 mm2                                        = 0.0003 m2 E = 200 GPa…

Q: Determine the displacement at C and the slope at B. EI is constant. Use the moment-area theorems. |A…

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Q: Determine the slope and displacement at the end C of the beam. EI is constant. Use the Double…

A: Given A beam ABC Required  Slope and displacement at C

Q: Assuming EI constant is Find the • Slope at A • Displacement at C 2 Using double integration method

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Q: The force shown acts on the hook. Express it as a Cartesian vector.

A: As shown in figure (b), the coordinates for points A and B are         A(2 m, 0 m, 2 m) and…

Q: Conjugate Beam Method: M-Pa Using the conjugate-beam method, determine the slope and displacement at…

A: A cantilever beam is shown in the above figure. A point load of P is applied at free end &…

Q: Using the double integration method, determine the equation of elastic curve for the beam using…

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Q: sume the members are pin ke A = 200 mm, and E = method of virtual work. Solve using Castigliam 8 KN

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Q: SOLVE PART A For the beam shown, obtain: A). Applying the double integration method, the rotation in…

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Q: Q1) Determine the maximum deflection between the supports A and B. EI is constant. Use the method of…

A: Data given Find : Maximum deflection between supports A and B

Q: For the beam maximum rection in terms deflection м L of shown in figure, determine the and the…

A: Asked: To determine the maximum deflection and the deflection at the said section L4 form the left…

Q: L B

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Q: L RA RB W

A: This is a case of gradually increasing uniformly distributed load on a simply supported beam. In…

Q: CONJUGATE BEAM METHOD

A: GIVEN-a cantilever beam subjected to uniformly distributed load required- to find slope and…

Q: Problem: Compute for the vertical deflection at point C support B using either of the following…

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Q: Castigliano's Second Theorem - Truss Determine the vertical displacement of joint B. AE is constant.…

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Q: Consider the frame shown below. Find:a) the horizontal deformation at b using Catigliano's…

A: Step 1:Step 2:Step 3:Step 4:Step 5:Step 6:Step 7:

Q: 2. A simply supported beam of length L carries a point load P in the downward direction at its…

A: To find the deflection at the mid point. Using 4th order differential equation Virtual work method…

Q: a) Draw the approximate deflected shape from the bending moment diagram.   b) Develop the piecewise…

A: Consider the cantilever beam.

Q: Using double integration determine the equations of the elastic curve for the beam. Apply boundary…

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Q: In virtual work method, the virtual structure has unit virtual force at a point where you want to…

A: Virtual work method is also called unit load method developed by John Bernoulli in 1717. This method…

Q: 6. [Ac, 0c] Use the method of virtual work. (EI is constant)

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Q: 8 m Determine the horizontal 2k displacement of joint D. Assume the members are pin connected at…

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Q: |Mo B- A -L-

A: In virtual work method To find the deflection at free end applied pseudo load at B and using strain…

Q: 1. Ris the resultant of the four forces A, B, C, and D. Find the magnitude of the angle e and the…

A: To find magnitude of C and angle theta

Q: The canitlevered beam is fixed on the left end and is subjected to the triangular distributed load…

A: Given information:Free body diagram is given below

Q: 12

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Q: 3. Determine the expression for the deflection of point A of the beam.

A: Given:- To find:- Deflection at point A Concept:- Double integration method:- By integrating the…

Q: Determine the vertical displacement of joint H.

A: Using virtual work

Q: Determine the horizontal displacement of joint C. Assume the members are pin connected at their end…

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Q: 2. Determine the equations of the elastic curve for the beam using the x coordinate. (Please use the…

A: Determine the equations of the elastic curve for the beam using the x coordinate.(a) Specify the…

Q: Find the moment of inertia of the solid formed by revolving about oy the area bounded by * a?y = x3,…

A: To find moment of inertia about y axis

Q: Determine the value of degree of static indeterminacy

A: Given data : The number of Joint in frame structure J=4 The number of member in frame structure m=3…

Q: Determine the displacement in millimeters and the slope in radians of point C of the following beam.…

A: Given: Required: Deflection and slope at C using virtual work method and Castigliano method

Q: Find the Y coordinate of point A so that the 380 KN resultant of non-concurrent forces will have a…

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Q: I understand where the deflection of the spring is coming from. Where does the downward deflection…

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Q: Determine the slope and the deflection of end B of the cantilever beam using Area-Moment Method. EI…

A: Asked: To determine the slope and deflection of end B (free end) of the cantilever beam using…

Q: A beam is subjected to the loading condition shown below. Determine the displacement at A and the…

A: “Since you have asked for multiple methods, we will provide the solution only using the first method…

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.