For the symmetrical universal beam shown below, the web thickness is t = 9 mm.

Assume the yield stress to be 250 MPa and E = 200,000 MPa.

Note: Do NOT round off any values until the final answer.

What is the elastic moment capacity of the beam in kNm?

Do NOT include any units.

Give the answer to 2 decimal place.

What is the plastic moment capacity of the beam in kNm?

Do NOT include any units.

Give the answer to 2 decimal place.

What is the partial plastic moment capacity of the beam in kNm, assuming only the top and bottom flanges fully yielded?

Do NOT include any units.

Give the answer to 2 decimal place.

Question 1c

From the options provided below, select the option representing the best options for a correct deflected shape, with all the necessary labels such as Tension (t) and Point of Inflection (POI) for the frame shown in Figure 1c. The directions for the support reactions (indicated by red arrows) are shown in Figure 1c, and the resulting Bending Moment Diagram (red lines) are shown in Figure 1d. Both figures present are to help you sketch the deflected shape without calculations. Assume that the

P

is 40 kN, w is 20 kN/m, M is 20 kNm, and L is 8m long

PROBLEM 1(b)

From the options provided below, select the option representing the correct bending moment diagram (BMD) for the frame shown in Figure 1b. The directions for the support reactions (indicated by red arrows) are shown in Figure 1b to help you develop the BMD without calculations. Assume that the

P

is 40 kN, w is 20 kN/m, M is 20 kNm,

PROBLEM 1(a)

From the options provided below, select the figure with the best possible solution representing the correct directions of the support reactions for the frame shown in Figure 1a.

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.