Mo Mo D |B 3 3 3

Q: The shaft supports the two pulley loads shown. Determine the equation of the elastic curve. EI is…

A: Given data as per question

Q: H.W1 The beam is subjected to the linearly varying istributed load. Determine the maximum deflection…

A: Given   Length = L   Load, P = w0 Find   Deflection

Q: A spring stored an energy U of 50 joules. Determine the deflection x if the spring constant is k =…

A: Given data,  K= 6969 N/m  U= 50 j  Let x be the deflection in spring.

Q: Determine the equations of the elastic curve for the shaft using the x1 and x2 coordinates. Take El…

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Q: Determine the position a of the roller support B in terms of L so that the deflection at end C is…

A: Draw the free-body diagram of the beam.

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

A: Consider an imaginary load W at a distance x from the free end A. The moment at a distance x :…

Q: L=20 m Bmax h= 6 m

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Q: The two bars are pin connected at D. Determine the slope at A and the deflection at D. EI is…

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Q: Determine the equations of the elastic curve using the coordinates x1 and x3. What is the slope and…

A: Taking moment about a cross section passing through x1 and applying pure bending equation, Here, E…

Q: (a) Determine the equation of the elastic curve for the beam using the x coordinate that is valid…

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Q: if the beam has a Young's modulus E= 30 x 10' ksi, determine the total static defler (Opring )at. -…

A: For solution refer below images.

Q: The beam is subjected to the load shown. Determine the equation of the elastic curve. EI is…

A: Extend the uniform distributed load to end position as shown below ,

Q: Determine the equations of the elastic curve using the x1 and x2 coordinates, and specify the slope…

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Q: Determine the equations of the elastic curve using the coordinates x1 and x2. What is the slope at C…

A: Beam deflect in two ways, one linear and second is angular. Displacement is called Deflection and…

Q: Determine the slope at C and the deflection at B. EI is constant.

A: Given : The length of the beam is L = 2a The moment acting in the beam is M0 = Pa The load acting…

Q: Determine the equations of the elastic curve for the shaft using the x, and x2 coordinates. Take El…

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Q: Determine the equation of the elastic curve for the beam using the x coordinate that is valid for 0…

A: Draw the free body diagram of the simply supported beam showing all the reactions.

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

A: Consider the section of the beam up to x1 distance from point C. The bending equation for the above…

Q: 5 kN 60 mm B -150 mm 400 mm

A: A beam is defined as a structural member subjected to transverse shear load during its…

Q: Determine the bending strain energy in the simply supported beam. EI is constant.

A: Evaluate the total load on the beam as follows. F=12w0×L2+12w0×L2=12w0L If the total load is…

Q: Determine the slope of the beam at the pin support A. Consider only bending strain energy. EI is…

A: Assuming the reaction force on A and B is RA and RB then applying force balance on beam, RA+RB=0…

Q: For the beam with overhang shown below, determine the equations of the elastic curve using the xi…

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Q: 1. Determine the followings i) Elastic curve equation ii) Deflection at B ii) Reaction at B

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Q: Determine the total axial and bending strain energy in the A992 steel beam. A = 2850 mm2, I =…

A: Calculate the total vertical load due to the applied uniformly variable load i.e. the UVL. V=12wmaxL…

Q: Determine the equations of the elastic curve for the shaft using the X1 and x2 coordinates. Take El…

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Q: Determine the bending strain energy in the beam. EI is constant.

A: Given: The bending moment of the simply supported beam is M0  and L is the length of the beam, where…

Q: Determine the deflection at point C and at the site of action of the load. Take Est = 200 GPa, I =…

A: The degree to which a structural member can be shifted by a significant amount of load is known as…

Q: Determine the equations of the elastic curve using the coordinates x1 and x2 and specify the slope…

A: The neutral axis in its deflected position after loading of the beam is known as its elastic curve…

Q: Determine the equations of the elastic curve for the shaft using the x1 and x2 coordinates. Take El…

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Q: The simply supported prismatic beam AB carries a uniformly distributed load w per unit length .…

A: The deflection in the beam is predicted as shown below, As the weight given in this problem is…

Q: Draw the bending-moment diagram for the shaft and then, from this diagram, sketch the deflection or…

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Q: C -X1 W -L- Α' L- --X²₂- B

A: given; weight density=wCA=LAB=Llets take reaction force at A=RAlets take reaction force at B=RB

Q: Determine the position and magnitude of the maximum deflection in the beam P 2a- B A C RA Rc

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Q: Determine the equations of the elastic curve for the beam using the x1 and x2 coordinates. EI is…

A: Take moment about a fixed point M(X1)+PL2-Px1=0M(x1)=Px1-PL2   M(x2)=0 M(x)=EId2vdx2

Q: 16-23. Determine the equations of the elastic curve using the coordinates a and 1z. What is the…

A: Solution: Taking Moment at point B is = 0 VA×L+M0=0VA=MOL We know  ∑Y=0VA+VB=0VB=-M0L

Q: 12-43. Determine the equation of the elastic curve. El is constant. 20 kN B 8 kN-m 8 kN m -2.4 m 2.4…

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Q: Determine the equations of the elastic curve for the shaft using the x1 and x2 coordinates. Take El…

A: Given: The moment in the end 'C', Mo=900 N-m

Q: *RI6-8. Using the method of supeīposition, determinc the magnitude of Mo in terms of the distributed…

A: Given the deflection at the center of the beam is zero.∆C=0 Let ∆C1,∆C2,∆C3 are the deflections at C…

Q: 8–7. Determine the equations of the elastic curve using the x and x2 coordinates. EI is constant.…

A: Data given - A beam with a load P  Need to determine equation of elastic curve using x1 & x2…

Q: Determine the equation of the elastic curve. Specify the slopes at A and B. EI is constant.

A: First. draw the free body diagram of the beam, Now calculate the reactions at point B RB by…

Q: Determine the equations of the elastic curve for the shaft using the x, and x2 coordinates. Take El…

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Q: Determine the equations of the elastic curve for the shaft using the x, and x2 coordinates. Take El…

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Q: Determine the deformation of the entire beam. Consider that EI1 = 2EI3 and EI2 = 3EI3

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Q: The beam has is supported and loaded as shown. EI is constant. Determine: a) The elastic…

A: The given problem will be solved by using integration method. The moment taken at a section will be…

Q: 30 kN-m Determine the slope and deflection at A. El = 200 GPa and / = 60.0x10°mm.

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Q: *12-40. Determine the slope at A and the deflection of end Cof the overhang beam. Take E=29(103) ksi…

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Q: Determine the maximum deflection of the simply supported beam. The beam is made of wood having a…

A: given simply supported beamE=1.5×103 ksib=3inh=6inintensity of uniform distributed load…

Q: 12–35. The beam is subjected to the load shown. Determine the equation of the elastic curve. El is…

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.