For the beam in Figure 1, use the method of virtual work to determine the slope at points B and C, anddeflection at point D.Assume that the flexural rigidity is constant and equal to EI, i.e. your answers will be in the formconstant/EI, where the constant has units of Nm² or (kNm²) for slope or Nm³ or (kNm³) for deflection.A2mIA45 kN3m15kN00TIFigure 1ENG221

Step 1:Step 2:Step 3:Step 4:Step 5:Step 6:Step 7:Step 8:

Answered: For the beam in Figure 1, use the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Q2: The simply supported beam shown as Figure 5. below is subjected to Loading as shown on the Figure. Using integration method. Find the maximum Lenght (L) so that the max. deflection is not greater than 30mm for the Beam.. The flexural rigidity (El) of Beam section El = 50*10% KN.m? “4m e | Sm
For the beam in Figure 1, use the method of virtual work to determine the slope at points B and C, and deflection at point D. Assume that the flexural rigidity is constant and equal to EI, i.e. your answers will be in the form constant/EI, where the constant has units of Nm² or (kNm²) for slope or Nm³ or (kNm³) for deflection. 45kN OB = Oc= VD = 15kN 2m 3m Im B Figure 1
Use CONJUGATE BEAM METHOD to Determine the following: A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross-section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 3mm. Use E=200 GPa. w 12 mm |A C D E Hinge `Hinge 24 mm 0.4 m 0.4 m 0.4 m 0.4 m
For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at A. Assume a constant value of El = 145000 kip-ft2 for the beam; wo = 5.6 kips/ft, LAB = 13ft, LBc = 7 ft. Wo Answer: (a) 8B = (b) VA = LAB rad in. B LBC C X
A truss is subjected to loads as shown. Assume AE is constant and use virtual work method for deflection of truss. 4m 120 KN B A TINT 3m EA = constant E = 200 G Pa 2 A = 1,500 mm Find the vertical deflection at B in mm
The cantilever beam has a steel cable of circular cross-section area at the end. What is the area of the cable’s cross section area if there is no observed deflection at point B? The modulus of elasticity of both beam and cable is 200GPa, and the beam is a steel section with I = 120 x 106 mm4 (Hint: recall axial deformations) USE THE DOUBLE INTEGRATION METHOD.
For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at A. Assume a constant value of El = 125000 kip-ft² for the beam; wo = 3.0 kips/ft, LAB = 8 ft. LBc = 4 ft. wo LBC LAB Answer: (a) 0g = 0.00869 (b) VA = rad in. C
Solve for: a. reaction forces b. shear and momendiagram c. value of maximum deflection d. moment of inertia [Ix, ly, centroids (xbar & ybar)] e. maximum shear stress f. maximum bending stress g. maximum tensile h. maximum compressive
Use AREA MOMENT METHOD to Determine the following: A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross-section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 3mm. Use E=200 GPa. w 12 mm A C D E Hinge' Hinge 24 mm 0.4 m 0.4 m 0.4 m 0.4 m
Determine the horizontal and vertical deflections at D for the frame shown below (consider E, I constant and neglect axial deformation). P |2L A В C 4L
Problem: For the beam and loading shown, determine (a) the equation of the elastic curve, and (b) the deflection midway between the supports. Assume that EI is constant for the beam. You can use any method for the beam deflection computation. w(x) = w,x/L³ Wo %3D A B
Determine the expression of the elastic line, the deflection and the slope of the end B, where E= 200 GPa and Ix = 65 x106 mm^4.

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