Question 1. For the frame shown in Figure 3, determine the reactions and draw the bending moment diagram (BMD) and shear force diagram (SFD) for the following load cases using both hand calculations and Space Gass:

(a) H = last digit of your ID+10kN   &   V = 0
(b) H= 0                                    &   V = last digit of your ID+50kN
(c) H = last digit of your ID+10kN   &   V = last digit of your ID+50kN

Assume that beam is made of 250UB25.7 and the columns are made of 150UB14.

Question 2. The beam shown in Figure 4 is subject to a number of loads including: (i) downward uniformly distributed dead load (G); (ii) downward concerted live loads (Q) acting at point B; and (iii) upward uniformly distributed wind load (W). The loads could occur simultaneously in accordance with the following load combinations:

• 1.2G+1.5Q
• 1.2G+0.4Q+W
• 0.9G+W

(a) Considering the above combinations and using Spacegass determine the maximum (positive and negative) reactions, shear forces and bending moments the beam should be designed for. These maximum values are known as "design" values.

(b) For the load combinations producing the maximum reactions, shear force and bending moments, confirm your Spacegass results using hand calculations.

Question 3. The beam shown in Figure 4 is subject to a number of loads including: (i) downward uniformly distributed dead load (G); (ii) downward concerted live loads (Q) acting at point B; and (iii) upward uniformly distributed wind load (W). The loads could occur simultaneously in accordance with the following load combinations:

• 1.2G+1.5Q
• 1.2G+0.4Q+W
• 0.9G+W

(a) Considering the above combinations and using Spacegass determine the maximum (positive and negative) reactions, shear forces and bending moments the beam should be designed for. These maximum values are known as "design" values.

(b) For the load combinations producing the maximum reactions, shear force and bending moments, confirm your Spacegass results using hand calculations.

G = 1.0 kN/m
Q = Last digit of your student ID number+1 kN
W = 2kN/m

Assume that beam is made of 250UB25.7 steel.

Notes:

- Provide your maximum design values in a tabulated form.

- Provide Spacegass plots of the SFD and BMD for the load combinations giving maximum values.

- Provide hand calculations for the load comminations producing maximum design values only.

Question 4. The truss shown in Figure 5 has a typical construction where all the truss connections are pinned connections (i.e., each member is cut to length and members are pinned at each end). The support at A is a pin support and at E is a roller. All truss members are made of 150SHS6 steel.

For this configuration and loads shown:

(a) Use Spacegass to determine all reactions and member forces in the truss. Include graphical outputs from Spacegass showing the member numbers and member forces. Also include a printout of input data and output results;

(b) Use hand calculations to check the reactions and determine the member forces in members DE, HD and HE (include in your answers whether the members are in tension or compression).

Spacegass Tips:

Question 1. Stresses can be plotted through "View" from the top menu and then "Static Analysis Results". Extrating graphical outputs from Spacegass To plot diagrams (eg SFD, BMD, etc), go to "File" from the top menu and then select "Copy to Clipboard". From there, you can go to your word document, for example, and then "paste". This will paste whatever was shown on the Spacegass screen.