SEAA 3243 Theory of Structures Slope Deflection Method Assignment Question 2026 | UTM

Similar steps:

1. Use equilibrium of moment at support to get θ_B and θ_C
2. Solve the equations to get Mbc, Mcb, Mcd, Mdc
3. Use equilibrium of forces at support to get support reactions Rb, Rc, Rd, and Md 4. Draw SFD and BMD

Assignment

Complete the calculation and Draw SFD and BMD for the example of beam with settlement

Due date: 29 March 2026– 5pm

Q5. An indeterminate beam structure has a fixed support at A and roller supports at B and C as shown in Figure Q5. The beam is loaded as illustrated. The roller support at B settles 20 mm downward. Value of EI is equal to 6000 kNm². By using slope deflection method analyze the beam and answer the following questions:

(a) Determine the end moments for all members.
(10 marks)

(b) Determine all reaction forces.
(4 marks)

(c) Draw the shear force diagram for the beam.
(4 marks)

(d) Draw the bending moment diagram for the beam.
(4 marks)

(22 marks)