A beam whose moment of inertia is 0.0036 m4 at portion CB and E = 220 GPa is subjected to a load of intensity q = 20 kN/m and L = 6 meters. 1. If support B is removed, Calculate the deflection at point B. 2. If support B is present, Calculate the value of reaction at support B. 3. Calculate the deflection at point C if support B is present

Q: The beam is analyzed using Slope Deflection Method 1.What is the EI teta C? 2.What is the reaction…

A: Solution

Q: QI) A beam undergoes shear of V 27 kN, determine the web's shear stress at A and B. Indicate the…

A: At point A and B first moment of inertia is equal hence shear stress at A and B will be same

Q: A 41 6 m 20 KN/m 3 m 40 KN 31 2 m OC

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Q: A beam of length 6 m is simply supported at both ends. It carries a uniformly distributed load of 4…

A: Given:Length of beam = 6mUdl = 4KN/m over 3m length from one endRequired:Support reactionMaximum…

Q: Solve for the reactions on the given beam below using Slope Deflection Method

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Q: Areas: E O AD = 400 mm2 CE = 500 mm² %3D 5 m D 2 m А В A C -2 m→-2 m→

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Q: 4m 4m Select the correct response: 24.50 kN 18.50 kN 20.50 kN 16 kN

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Q: For the given problem, the intensity of the distributed load varies linearly from 0 to Wo = 14kN/m.…

A: To find a. Equation of elastic curve.  b. Location of maximum deflection and maximum deflection.

Q: he beam AC is assured to be rigid and - supported as shown. If deflection at free end is 3 mm. /hat…

A: E=200GPa

Q: 50 mm | 4 kN 2 kN -x- h - 2 m –– - 2 m

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Q: Slope Deflection Method

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Q: A simply supported beam hinged at A and supported at C, is carrying a distributed load and a point…

A: Free body diagram -  Force in the vertical direction -  ∑FY = 0⇒RA + RC - 120 - 15×2 = 0⇒RA + RC =…

Q: A cantilever beam carries a partial uniform load w = 5 kN/m and a point load of P = 10 kN as shown…

A: In double integration  EI d2y/d2x = - Mx  Negative sign is taken to consider downward deflection…

Q: Determine the reaction at the supports using E Draw the FBD of the beam with the calculated…

A: Given:- E=70 GPa=70×106 KN/m2I=1300000000 mm4=13×10-4 m4

Q: Determine the value of Eld at midspan of the simply supported beam by double integration method.…

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Q: Problem 2: The 2-kg collar is released from rest at A and slides down the inclined fixed rod in the…

A: Solution-The given values are as follows Collar Mass=2kgCoefficient of kinetic friction=0.4To…

Q: Given: Figure TOS 2103: W = 5044 N, (a) Find the value of X so the deflection at the free ends is…

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Q: Particle A lies on the x-y plane and is acted on by the three forces shown. Find the resultant of…

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Q: PROBLEM 2 Solve all support reactions using the SLOPE-DEFLECTION METHOD. There are support…

A: A beam is given as shown in the figure above and it has been asked in the question to determine the…

Q: a point 2 hm from ti VIod e e maximum deflection assumir

A: Using the formula of maximum deflection y(max) = Pb(L^2-b^2)^1.5/(9*√3*E*I*L) y(max) =…

Q: 5. Deflection at midspan. EI is constant. 20 kN/ m A C 10 m

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

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Q: Analyze the structure using slope deflection method solve for the reaction at support A and support…

A: Slope Deflection Method A and B are the fixed end supports and C has a vertical reaction at L/2 from…

Q: The 426-kg uniform beam is subjected to the three external loads shown. Compute the vertical…

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Q: Q.3 Determine the slope and deflection at D for the beam shown below by the conjugate beam method.…

A: Calculating the reactions: ∑MA=0RB(6)-4(9)-8(3)=0RB=10 KN∑Fy=0RB+RA=6-4=0RA=2 KN

Q: Solve for the reactions on the given beam below using Slope Deflection Method

A: Concept Here using Slope and deflection method we will calculate the moment at each joint and then…

Q: Refer figure 1: Determine the deflection (delta) in mm at point B. Use E = 200 GPa and I = 2100 mm^4…

A: E = 200 GPa I = 2100 mm4 Determine the vertical reaction at hinge support and deflection at point-B…

Q: Determine shear stress at support on cantilever beam as shown in figure. b = 300mm. 500mm m 120kN/m…

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Q: Determine the maximum deflection of the steel beam shown. The reactions have been computed. E = 200…

A: The maximum deflection will occur under the load. The standard result of deflection for this type of…

Q: Determine the reaction at the roller support. Determine the moment reaction at the fixed support.…

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Q: Example 11.21. An experimental beam of steel and of uniform section, I = 5000 cm¹ is simply…

A: I= 5000cm⁴L= 4mE= 2.04×10⁵ N/mm²Central deflection = 8mm

Q: Consider a 4m long statically indeterminate propped cantilever under the loading conditions shown in…

A: Given data:

Q: Determine the support reaction at D using Conjugate Beam Method. Indicate the negative sign if the…

A: Real Beam : At equilibrium : ∑Fy=0 RC+RD=5×12+12×12×36=60+216RC+RD=276 KN ∑MD=0…

Q: Solve

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Q: 50 kN 100 kN 50 kN E D F 1m в 2 at 2m = 4m EA = constant E = 120 GPa In addition to the loads of the…

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Q: Q. Determine the slope at the supports of the beam shown in Fig. I using the double integration…

A: The beam is illustrated as:E = 29000 kips/in.2I = 3500 in.4 For convenience, we will convert the…

Q: Given: a = 2m b = 4m w = 150 kN/m E = 180 GPa Moment at point 4m from the free end is equal to -1450…

A: Moment equation:Mx=-Px-wx22-Px-b+wx-b22Mx=-Px-150x22-Px-4+150x-422

Q: A statically determinate beam with two pin supports at A and B is shown in Figure 1. Use virtual…

A: Given:Required:Deflection at C using virtual work method

Q: Solve for the reactions on the given beam below using Slope Deflection Method

A: Data given Find the reaction at supports

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.