Q.3 Determine the deflections at B and C for the beam shown in Fig. 2 using the conjugate beam method. Also, determine the slope at D. El is constant. E = 20,000ksi and I = 31500 in.¹. 1.5 k/ft H -6 ft 30 k B +4ft- C -5 ft- Fig. 2
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- Question 5a) Analyse the beam below and draw the shear force and bending moment diagrams. Use the conjugate-beam method to determine the slopes at the ends A and D and the deflections at points B and C of the beam shown in Fig. 1Q2: For the beam shown below in (fig 2), calculate the location of the centroidal axis ?̅, forthe cross-sectional area of the T-beam, after that find the moment of inertia I?̀ about the ?̀axis.Using Moment-Area method, determine the deflection at point B in mm of the steel beam shown if E = 200 GPa, and I = 250x10^6 mm^4. EI is constant all throughout the entire span of the beam.
- Determine the vertical deflection at joint C of the truss shown in Fig. 7.8(a) due to a temperature drop of 15 F 8 in members AB and BC and a temperature increase of 60 F 8 in members AF, FG, GH, and EH. Use the virtual work methodAnalyze the propped beam loaded as shown below: use either double integration or area moment method. Determine the reaction at the roller support. Determine the deflection at midspan of the beam. Determine the slope at 2m from the roller support. Determine the moment reaction at the fixed support.Analyze the propped beam loaded as shown below: use either double integration or area moment method. 1.Determine the reaction at the roller support. Ans.: RA = kN 2. Determine the deflection at midspan of the beam. Ans.: kN.m3 3. Determine the slope at 2m from the roller support. Ans.: kN.m2 4. Determine the moment reaction at the fixed support. Ans.: MA = kN.m
- 2. Use the area-moment method to determine the slope and deflection at point B of the beam shown below.Analyze the propped beam loaded as shown below: use either double integration or area moment method. Determine the reaction at the roller support. Ans.: RA = Blank 1 kN Determine the deflection at midspan of the beam. Determine the slope at 2m from the roller support.Determine the slope and deflection at point B of the cantilever beam shown in Fig. 6.3(a) by the direct integration method.
- Determine the maximum deflection of the beam, using El = 1000 KN-m^2. Using double integration method, solve all of the support reactions in the given beam.Determine the vertical deflection at joint C of the truss shown in the figure by using the virtual work method.Given the figure below. Use UNIT LOAD METHOD in determining the maximum deflection at midspan. E and I are constant. 1. What is the reaction at A of the real beam? 2. In constructing the virtual beam and determining the maximum deflection, where must be the 1-unit load be placed? 3. What is the reaction at the support of the virtual beam? 4. In solving the maximum deflection at midspan, how many portions or segments must the beam be divided so that the real and virtual loadings are continuous in each segment? 5. Consider segment AB of the real beam, with x measured from A, what is the moment equation M_(AB ) ? 6. In question 4, what are the limiting values of x? 7. Consider segment AB of the virtual beam, with x measured from A, what is the moment equation? 8. Analyzing segment BC of the real beam, with x measured from A, what is the moment equation M_BC? 9. In the given beam, if the 50 KN load is moved 2m closer to A and deflection at midspan is desired, how many segments must the…