Determine the maximum bending moment that can be applied to the beam shown, so that the bending stress in the beam does not exceed 200 MPa. 

Assume, H = 272 mm, W = 179 mm and θ = 25º. 

Hint: There is biaxial bending!

What is the value of the determined maximum bending moment in kNm?

Do NOT include any units.

Give the answer to 2 decimal place. 

For the frame ABCD shown below, calculate the fixed moment M_Ax, M_Ay and M_Az reactions at the fixed support A, due to the three applied actions P1 = 170 N, P2 = 444 N and M = 262 Nm.

Assume all loads are aligned with the axis.

What is the value of M_Ay in Nm?

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

Give the answer to 2 decimal place. 

For the frame ABCD shown below, calculate the fixed moment M_Ax, M_Ay and M_Az reactions at the fixed support A, due to the three applied actions P1 = 170 N, P2 = 444 N and M = 262 Nm.

Assume all loads are aligned with the axis.

What is the value of M_Ax in Nm?

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

Give the answer to 2 decimal place. 

For the frame ABCD shown below, calculate the fixed moment M_Ax, M_Ay and M_Az reactions at the fixed support A, due to the three applied actions P1 = 170 N, P2 = 444 N and M = 262 Nm.

Assume all loads are aligned with the axis.

What is the value of M_Az in Nm?

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

Give the answer to 2 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.

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?