Assignment 4 Week 3 assignment PDF

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Assignment 4 Week 3 assignment semester 2 QUT Campus...

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QUEENSLAND UNIVERSITY OF TECHNOLOGY School of Civil Engineering & Built Environment EGB275 – Structural Mechanics Assignment 4 (Moment Distribution) Due on 24 Oct 2021 at 23:59 (10% of the Overall Assessment)

Note: Use the Key given at the end of the assignment and your student number to calculate parameters X1 to X11. Then, proceed to solve questions Q1 to Q3. Q1. For the 3-span beam shown in the Figure 1, a) b) c) d)

Calculate joint moments using the method of moment distribution (10 marks); Draw the bending moment diagram (10 marks); Calculate supports’ vertical reactions (10 marks); and Draw shear force diagram (5 marks).

You need not show the maximum values of the bending moments in the spans. EI is constant across all the members.

Figure 1 Q2. In the 3-span beam shown in the Figure 2, the support at C settles by 15 mm. Using the method of moment distribution method, a) b) c) d)

Calculate joint moments (10 marks); Draw the bending moment diagram (10 marks); Calculate the supports’ vertical reactions (10 marks); and Draw the shear force diagram (5 marks).

Hint: For the calculation of Fixed End Moments, you can use the principle of superposition to add the settlement-related and the load-related FEMs together You need not show the absolute maximum values of the bending moments in the spans. Assume E = 200x109 N/m2 and I = 200x106 mm4 for all members.

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Figure 2 Q3. For the frame in Figure 3, a) b) c) d)

Comment in detail if the frame is a sway frame or non-sway frame (4 marks); Use the moment distribution method to analyse the frame (8 marks); Draw the bending moment diagram (8 marks); and Draw the shear force diagram (10 marks).

You need not show the maximum value of the bending moment in the loaded spans BC and CD. EI is constant across all the members.

Figure 3 Key for calculating parametric values X1 to X11:...