For A = 0.00001m², and E = 200x106 KN/m², (1) Determine the vertical deflection of joint B, ABy. Use Castigliano's Method. (2) Solve for the horizontal deflection of joint C, Ach using the virtual work method. 50KN Determinate Truss 30° 60° 2m

Q: Use Virtual Work Method to solve the horizontal displacement of joint D in mm of the truss system…

A: Given data  a = 46.3 KN b = 17.5 KN  A = 1200 mm2 E = 200 GPA  In virtual load method, unit…

Q: 1. Assume El to be constant, E=200 GPa, I=500 x 10^6 mm^4. * 12 kN 12 kN 12 kN 2 kN/m B |D E| 1m 2m…

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Q: 3. Solve for the slope and deflection at midspan using Conjugate Beam. 200 lb/ft M = 400 lb-ft 2 ft…

A: Castigliano's first theorem is the first partial derivative of the total internal energy in a…

Q: Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller.…

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Q: A simply supported beam is loaded as shown. Using double integration method with E = 21.8 x 10 kN/m2…

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Q: • Determine the slope (in rad) and deflection (in mm) at 1.20m from the left if P = 225kN, E =…

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Q: From the structure shown. E = 200 Gpa, I = 200x10^6 mm^4. Let Q = 25 2EI 4 m QkN B * ΕΙ Hinge 3 m…

A: Given data  E = 200 GPA = 2 × 105 N/mm2  I = 200 × 106 mm4 = 2 × 108 mm4  Q = 25 Find. 1.…

Q: Use Virtual Work Method to solve the horizontal displacement of joint D in mm of the truss system…

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Q: Find the slope and deflection equations for the beam shown. Determine the vertical deflection of…

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Q: Integration mine the deflection at midspan between A and B by

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Q: Problem Set - 2: The simply supported steel beam is loaded by the 20 kN-m couple as shown in the…

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Q: GIVEN: W= 215N/m a = 5m El is constant A. Draw the shear and moment diagram. B. Determine the slope…

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Q: . A cantilever beam with span of 3 meter long is loaded with unit puted load 15 kN/m over a length…

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Q: Compute the magnitude of the slope at the support and the free deflection 3W(kN/m) 0.7W(kN/m) 1m 3m…

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Q: Situation 1 Using double integration method, determine the slope and deflection at the free end of…

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Q: Solve using DOUBLE INTEGRATION METHOD. GIVEN: W= 215N/m a = 5m EI is constant A. Draw the…

A: Uniformly distributed load on the (W) = 215 N/m Dimension (a) = 5 m EI is constant.

Q: 1. Determine the End Moments of the Beam Shown. Use the Three Moment Equation. E = 205 GPa, IAb.cD=…

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Q: Solve using moment area method

A: Using Moment Area method ## Calculation of Slope at A and deflection at D###

Q: Q.3 Determine the slopes at A and B for the beam shown below. Also, determine the deflection at C by…

A: Moment-area theorem-1: This theorem is used to calculate the slope of the beam at any point. The…

Q: Compute the vertical deflection of point C for the cantilever beam Given I=500×106 mm4, E=20 GPa.…

A: Given Data: The uniformly distributed load on beam is, w=2 kN/m The load at point C is, P=5 kN The…

Q: For the following beam use the method of virtual work to determine: (a) Solve for the slope at B…

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

Q: A non-prismatic cantilever beam 7m long carries a uniform load of 24 KN/m from left end up to 4m to…

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Q: PART 2. Answer the following using Area Moment Method Problem 1. Determine the deflection and slope…

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Q: Compute the deflection at C using double integration method

A: Consider E as origin and find moment equation:Mx=-2x22-12x-1-12x-3-12x-5

Q: 1. A simply supported beam is consisting of two segments, segment AB which is 5 m long while last…

A: The conjugate beam is an imaginary beam of a real beam. The slope of the real beam equal to shear…

Q: Using Area moment method. For the beam shown, If E = 200000MPa, I = 20x10^6mm^4. Compute the slope…

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Q: PROBLEM: Determine the vertical deflection of point B at each truss. 30k- -8 ft· 50 k B- -8 ft EA =…

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Q: 12 kN 4 kN/m 6m zm c Use Castigliano's Theorem using the conventions in integration discussed.…

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Q: support. E=200 GPa and I=65x105 mm 3m

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Q: A simply supported beam AB of length į carries a gradually varying load with zero at Band w per unit…

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Q: For the frame shown below, the horizontal deflection at joint C is: (E = 200 GPa, A = 34× 10 mm2,…

A: Apply a unit horizontal load at C. FBD due to original load (M) FBD due to unit load at C (m)

Q: Compute the deflection at C using area moment method

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Q: Compute the deflection at C using  area moment method,  Assume EI to be constant, E = 200GPa, I =…

A: Given, Span of the Beam = 6m E= 200GPA I= 500×10^6 mm4 We need to Calculate Deflection at point…

Q: determine the slope and defelction at A and C of the beam in the figure using virtual work method.…

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Q: Problem 2 Determine the slope and displacement at point B. Assume the support at A is a pin and C is…

A: Method of Virtual work: It is defined as the unit load method which uses the law of conservation of…

Q: 6. Use the moment area method to determine the slope and displacement at C Mo = Pa B

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Q: Compute the deflection at C using superposition method

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Q: : Solve the given beam 2 k/ft -15 ft- +6t- El = constant E= 29,000 ksi I- 3,500 in.4 Determine the…

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Q: PLEASE SOLVE THE PROBLEM USING THE CASTIGLIANO'S THEOREM METHOD.

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Q: 2. Determine the internal moments of the beam shown, Support A settles 10mm. E=200 GPa, and I =…

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Q: Determine the slope at B and the maximum displacement of the beam. Use using the conjugate-beam…

A: Determine the slope at B and the maximum displacement of the beam. Use the conjugate-beam method.…

Q: The cantilever beam is subjected to the point load at C. a) Generate the equation for the elastic…

A: This problem is related to Strength of Material. In this problem we calculate Deflection and Slope…

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.