A two-span continuous beam is shown below and the applied forces and dimensions are given on...

  

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A two-span continuous beam is shown below and the applied forces and dimensions are given on the diagram. The beam is simply supported at A and B and fully fixed at C. a) Use the slope-deflection method to analyse the beam and determine the joint moments (M₁, Me and Mc). b) Using the joint moments determined in part a, determine the vertical reactions, and joint shear forces. c) Draw the shear force diagram and using this diagram, calculate the values of maximum sagging bending moments. Then manually. draw the full bending moment diagram for the beam on the tension side. A 32kN 1.5X kN/m Beam AB: 360 UB44.7 0.4X m Example for calculating X: Student ID: 30999923 T 0.25X m A B 0.35X m 2+3 = 5 ≤ 6 so X = 10.5+5=15.5 38kN Beam BC: 310 UB40.4 0.6X m C The parameter X is obtained using the last two numbers of your student ID. Add the last two digits of your student ID. If this value is more than 6 take that as the X value. If adding the last two digits is equal to or less than 6, add that number to 10.5 and take the resulting value as X. Please see the example for more information. The X value is used to obtain the length values and the udl applied to beam AB. A two-span continuous beam is shown below and the applied forces and dimensions are given on the diagram. The beam is simply supported at A and B and fully fixed at C. a) Use the slope-deflection method to analyse the beam and determine the joint moments (M₁, Me and Mc). b) Using the joint moments determined in part a, determine the vertical reactions, and joint shear forces. c) Draw the shear force diagram and using this diagram, calculate the values of maximum sagging bending moments. Then manually. draw the full bending moment diagram for the beam on the tension side. A 32kN 1.5X kN/m Beam AB: 360 UB44.7 0.4X m Example for calculating X: Student ID: 30999923 T 0.25X m A B 0.35X m 2+3 = 5 ≤ 6 so X = 10.5+5=15.5 38kN Beam BC: 310 UB40.4 0.6X m C The parameter X is obtained using the last two numbers of your student ID. Add the last two digits of your student ID. If this value is more than 6 take that as the X value. If adding the last two digits is equal to or less than 6, add that number to 10.5 and take the resulting value as X. Please see the example for more information. The X value is used to obtain the length values and the udl applied to beam AB.