A concentrated load F is applied at the midspan L/2 of this indeterminate beam. Using singularity functions determine the deflection in terms of EI at L/3 Using singularity functions. Then use Castigliano's Theorem to verify your answer.

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

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Q: Compute for the vertical deflection at point C and support B using Conjugate Beam Method. EI is…

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Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: For the equilibrium of the beam ∑MA = 0( cw +ve, ccw -ve) [0.5 x 10 x 3.5 x (2/3)3.5] - (RB x 3.5) =…

Q: A 10-m long simple beam carries a load W that varies uniformly from zero at the left support to 71…

A: Given data:

Q: For the beam and loading shown, use the double-Integration method to determine (a) the equation of…

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Q: For the beam loaded shown,determine the equation of the elastic curve and the deflection at point B…

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Q: A 12 foot cantilever beam has a fixed support at point A and is subjected to a distributed load of 2…

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Q: Using superposition method, Determine: a. the equation of the elastic curve, b. the slope at…

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Q: 4000 lb 1600 Ib/ft A C 7 ft- 3 ft-

A: When Simply supported beam is subjected to loading then they show some deflection that deflection we…

Q: Determine the maximum slope and maximum deflection of the beam below. Using Double Integration…

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

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Q: The beam subjected to the load shown in Figure Q3. Evaluate the maximum deflection and slope using…

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Q: By using Conjugate Beam for AC beam Determine 1. Deflection and Slope at B 2. Maximum Deflection 3.…

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Q: compute the slope of the elastic curve at A and deflection at C 8 kip using the integration method…

A: by ΣMA = 0      -RB×20+8×30+20 = 0               RB = 13 kip              RA+RB = 8             RA =…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

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Q: For the cantilever steel beam [E = 230 GPa; I = 87 x 106 mm*), use the double-integration method to…

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Q: GPa, and I = 115 x 106 mm4 Answer:

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Q: Moment-Area Method A simply supported beam is loaded with a concentrated load and a uniformly…

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Q: Determine the slope at A and B and the deflection at C for

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Q: derive

A: Given beam is overhang with constant udl so we can apply double integration  Find the resultants

Q: P A В C

A: The above problem can be solved by the area moment theorem. firstly, the reaction forces at supports…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

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Q: Problem Determine the equations of the elastic curve for the beam using x1 and x2 coordinates,…

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Q: For the beam and loading shown, using Double Integration Method, determine (a) slope at end A, (b)…

A: NOTE : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Determine the equations for the elastic curve for the beam using the x-coordinate. Specify the slope…

A: Determine the support reaction at A by taking moment about B.

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: If x is measured from the left end of the beam, compute for the deflection at x=7m. Also, determine…

A: Consider the free body diagram as;

Q: Use Castigliano's Theorem to determine the reaction force at B and the deflection at A in terms of…

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Q: For the beam and loading shown use the double-integration method he equation of the elastic curve…

A: Given data:

Q: Use Castigliano’s Theorem (See picture below) Write the Moment function for the real beam. Write…

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Q: An overhanging beam is loaded as shown below. Calculate the deflections under the two loads 80kN and…

A: GIVEN DATA:-⇒Overhanging beam (single side) of span = 12 m⇒Loads = point loads:-(1) 80 KN(2) 120…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Given data: w=7kn/m L=3 m E=215 GPa I=120*10^6 mm^4   It is asked to determine, 1. The equation of…

Q: Determine the deflection at the end of the overhang by conjugate beam method or Castigliano's

A: Solution: Considering the Beam: Determining the reaction:∑V=0RA+RB=6.67×3=20.01…

Q: 1. Determine the equation of the elastic curve for the following beam using the x coordinate that is…

A: 1. Draw FBD: Using Macaulay method: Determining the reaction forces:

Q: Compute the value of 6g for the static analysis of the given beam with the help of the slope-…

A: Due to proper distribution, one can easily find the nature of load and amount of values which is…

Q: Using EI as constant, solve the slope and deflections at A and at the midspan of the beam. Show…

A: To perform out a precise investigation an structural engineer should decide data, for example,…

Q: j vetermine the equations of the elastic curve using the coordinates X1 and x2. What is the…

A: Elastic Curve : Any system of forces bends an originally straight elastic strip or bar within its…

Q: Solve using THREE MOMENT EQUATION 2. Find the magnitude of the slope at the hinge support and the…

A: I have solved your problem

Q: Compute the deflection at C using conjugate beam method,

A: Given, The beam is A 'Cantilver Beam' Span of the beam = 6m There is 3 point loads having magnitude…

Q: determine the sign and magnitude of (a) the slope at end A, (b) the deflection at end A (use method…

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

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Q: Use the conjugate beam method and determine the slope at B and deflection at B. EI is constant.

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Q: Use Area-Moment Method. El is constant. >Compute the rotation of the beam on the left support.…

A: Solution: Given Data: Span of beam=8 mLoad (UDL)=6.5 kN.m

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Using elastic curve equation

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

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Q: A В

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Q: Determine the slope at point A and deflection at point C. "EI" is constant. Use moment area method.…

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Q: A continuous beam is loaded as shown in the figure. Assume E and I are constant and userelative…

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Q: 1. Determine the equations of the elastic curve for the beam using x1 and x2 coordinates, specify…

A: To find:-  Determine the equations of the elastic curve for the beam using X₁ and x2 coordinates,…

Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.