Question 3

A solid 30x30mm square beam with a length L=1.2 m is supported by a pin and roller. There is a 0.4mm gap between the beam and an adjacent rigid wall when the temperature is 10°C.

a) if the temperature is raised to 45°C, and the wall is removed so that the beam is unrestrained, what would be the change in the beam length in mm? 

Assume E_st = 200GPa, α_st = 12x10^-6/ºC. 

A negative sign indicates shortening. Do NOT include any units.

Give the answer to 2 decimal places.

Question 3

A solid 30x30mm square beam with a length L=1.2 m is supported by a pin and roller. There is a 0.4mm gap between the beam and an adjacent rigid wall when the temperature is 10°C.

c) if the temperature is raised to 45°C and with the wall now in place as shown in the figure above, calculate the axial stress in the beam in MPa?   Indicate a compressive stress as a negative value. Do NOT include any units.

Assume Est = 200GPa, αst = 12x10-6/ºC. 

Give the answer to 1 decimal place.

Question 3

A solid 30x30mm square beam with a length L=1.2 m is supported by a pin and roller. There is a 0.4mm gap between the beam and an adjacent rigid wall when the temperature is 10°C.

b) if the temperature is raised to 45°C and with the wall now in place as shown in the figure above, calculate the resulting axial force in the beam in kN?   Indicate a  compressive force with a  negative value.  Do NOT include any units.

Assume E_st = 200GPa, α_st = 12x10^-6/ºC. 

When calculating this value you MUST keep all the decimal places in your calculator for the answer to the previous question. 

Give this answer to 2 decimal place. 

Question 2

For the 'indeterminate' frame shown in Figure 1

d) what is the deflection shape of the frame?

Question 2

For the 'indeterminate' frame shown in Figure 1

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

Question 2

For the 'indeterminate' frame shown in Figure 1

c) what is the shape of the bending moment in the beam CD?

Question 2

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?

Question 1

For the 'indeterminate' frame shown in Figure 1

d) what is the deflection shape of the frame?

Question 1

For the 'indeterminate' frame shown in Figure 1

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

Question 1

For the 'indeterminate' frame shown in Figure 1

b) what is the shape of the bending moment in the beam BC, where C is the point where the shear force in section BCD equals zero?