Question 1

Before you attempt the following four questions, it is recommended you attempt to draw the BMD and deflected shape for the frame shown.

For the 'indeterminate' frame shown in Figure 1

a) by looking at the vertical member AB in the direction of the eye, what is the shape of the bending moment in the vertical member AB?

h) What is the deflection shape of the frame in Figure 1?

The frame shown in Figure 1 has a uniformly  distributed load of P= 9.5 kN/m.  

c) Calculate the horizontal reaction force F_DX in kN at joint D.

Use '-' if the reaction force is not in accordance with the sign convention in Figure 1, otherwise no sign is needed. Do NOT include any units.

Give the answer to 1 decimal place.

The frame shown in Figure 1 has a uniformly distributed load of P= 9.5 kN/m. 

d) Calculate the value of the bending moment M1 of Figure 2 in kNm, where M1 represents the bending moment in the vertical member at joint A.

Note which side of the member the moment occurs on by making the value negative if;

• It occurs on the left side of a vertical member
• It occurs on the top side of a horizontal member.

Give the answer to 1 decimal place.

The frame shown in Figure 1 has a uniformly distributed load of P= 9.5 kN/m. 

g) Calculate the value of the bending moment M5 of Figure 2 in kNm, where M5 represents the bending moment in the vertical member at joint C.

Note which side of the member the moment occurs on by making the value negative if;

• It occurs on the left side of a vertical member
• It occurs on the top side of a horizontal member.

Give the answer to 1 decimal place.

The frame shown in Figure 1 has a uniformly  distributed load of P= 9.5 kN/m.  

b) Calculate the vertical reaction force F_AY in kN at joint A. 

Use '-' if the reaction force is not in accordance with the sign convention in Figure 1, otherwise no sign is needed. Do NOT include any units.

Give the answer to 1 decimal place.

The frame shown in Figure 1 has a uniformly distributed load of P= 9.5 kN/m. 

f) Calculate the value of the bending moment M3 of Figure 2 in kNm, where M3 represents the bending moment in the beam at joint B.

Note which side of the member the moment occurs on by making the value negative if;

• It occurs on the left side of a vertical member
• It occurs on the top side of a horizontal member.

Give the answer to 1 decimal place.

Question 2

The frame shown in Figure 1 has a uniformly  distributed load of P= 9.5 kN/m.  

a) Calculate the horizontal reaction force F_AX in kN at joint A. 

Use '-' if the reaction force is not in accordance with the sign convention in Figure 1, otherwise no sign is needed. Do NOT include any units.

Give the answer to 1 decimal place.

The frame shown in Figure 1 has a uniformly distributed load of P= 9.5 kN/m. 

e) Calculate the value of the bending moment M2 of Figure 2 in kNm, where M2 represents the bending moment in the vertical member at joint B.

Note which side of the member the moment occurs on by making the value negative if;

• It occurs on the left side of a vertical member
• It occurs on the top side of a horizontal member.

Give the answer to 1 decimal place.

e) What is the deflection shape of the frame in Figure 1?