1. Use the Castigliano's Theorem to solve the problems:“ a. 10 kN E=200 GPa, I=500×10° mm4“ B D Compute displacements of point B and D- 5 m 1 m 1 m

Q: For the rod (bar) loaded axially as shown below, determine the axial displacements at the free end…

A: Given Data:A=0.8mL=50mE=20×106kN/m2

Q: Determine the slope and displacement of point B of the steel beam s

A: Modulus of elasticity (E)= 200 GPaMoment of inertia (I)= 60*106 mm4A Beam system given in the figure…

Q: For the beam below, use the deflection tables from the FE equation packet to determine the…

A: Determine the reaction at support A using the relation.

Q: Compute the vertical and horizontal components of displacement of joint C produced by the loads. The…

A: Castigliano's theorem states that any partial derivative of strain energy U with respect to any one…

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: simply supported beam is loaded as shown in the figure. Assume EI is constant. Using Castigliano’s…

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Q: Q 7. Use the method of conjugate beam to find the slope and defection at the free end of the…

A: Given: IAB = 4000 cm4  Or IAB = 0.4 m4 EIBC = 2EIAB EICD = 3EIAB

Q: 2. A steady flow between two parallel plates is fully developed and laminar. The distance between…

A: Solution: a) Derivation of velocity distribution, u: Consider a steady flow between two parallel…

Q: A simply-supported beam is supported beam is shown in Figure 1. Determine the slope an displacement…

A: The virtual work method is also referred to as the virtual force method or also termed as the Unit…

Q: 2. Derive an equation that describes the vertical deflection of the beam, y(x), and also calculate…

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Q: Suppose that M = 6.5 kN.m. El is constant. Assume that El is in kN.m2. Use the moment - area…

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Q: Problem No. 2 A beam is subjected to a 60 kN point load at C and a uniformly distributed load 10…

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Q: Determine the displacement and slope at point C of the cantiveler beam. The moment of inertia of…

A: Step 1:

Q: PROBLEM NO. 2 Determine the vertical displacement of joint A. The cross-sectional area of each…

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Q: 8 kN/m B 4 m 2 m

A: Given:- UDL of 8 KN/m in acting on the whole beam To find: Deflection at point C From castigliano's…

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.