Simulation Quiz 1

Methods of Solving Problems in Structural Mechanics - Simulation Quiz 1

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1 / 15

Consider the case where the Y-direction force in System A has been changed from -200 N to -1 N with everything else remaining the same. (Do not set up and run a new simulation.) What will the newly-calculated load multiplier for the first buckling mode be in System B? Review all options below and select the correct answer.

It is not possible to determine the new load multiplier without re-running the simulation with -1 N.

The new load multiplier will equal the buckling load.

The new load multiplier will remain unchanged.

The structure will no longer buckle because the load is too small.

2 / 15

Review all 6 buckling modes of System B (“Eigenvalue Buckling”) and the image below:

Review all options below and select the correct statement.

This is the second buckling mode.

The load multiplier for this mode is over 3000.

This is the fourth buckling mode.

This buckling mode does not exist for this simulation exercise.

3 / 15

Consider the case where the Y-direction force in System A has been changed from -200 N to -400 N with everything else remaining the same. (Do not set up and run a new simulation.) What will the newly-calculated load multiplier for the first buckling mode be in System B? Review all options below and select the correct answer.

It is not possible to determine the new load multiplier without re-running the simulation with -400 N.

The new load multiplier will be the same as the original load multiplier.

The new load multiplier will be twice the original load multiplier.

The new load multiplier will be half of the original load multiplier.

4 / 15

Review System A (“Static Structural”) and System B (“Eigenvalue Buckling”). Based on the eigenvalue buckling analysis results, what is the total amount of applied force that is expected to initiate the first buckling mode? Select the option that is closest to the correct answer.

115,000 N in the negative Y-direction

280 N in the negative Y-direction

200 N in the negative Y-direction and 280 N in the positive X-direction

56,000 N in the negative Y-direction

5 / 15

In “Static Structural” System A, what is the deformation in the Y-direction? Select the option that is closest to the correct simulation results.

-4.7e-6 m

0 m

1e-3 m

1 m

6 / 15

Review System A (“Static Structural”) and System B (“Eigenvalue Buckling”). Based on the eigenvalue buckling analysis results, what is the total amount of applied force that is expected to initiate the second buckling mode? Select the option that is closest to the correct answer.

200 N in the negative Y-direction and 520 N in the positive Z-direction

103,000 N in the negative Y-direction

211,000 N in the negative Y-direction

520N in the negative Y-direction

7 / 15

In “Static Structural” System A, what is the deformation in the X-direction? Select the option that is closest to the correct simulation results.

1e-3 m

1 m

4.7e-6 m

0 m

8 / 15

Review all 6 buckling modes of System B (“Eigenvalue Buckling”) and the image below:

Review all options below and select the correct statement.

The load multiplier for this mode is less than 100.

This is the second buckling mode.

This buckling mode does not exist for this simulation exercise.

This is the first buckling mode.

9 / 15

Review the results in System A (“Static Structural”) and System B (“Eigenvalue Buckling”). Review all options below and select the correct statement.

The first buckling mode in System B can be obtained by scaling the Total Deformation in System A by the load multiplier.

The buckling load for the first buckling mode in System B is equal to the applied load in System A.

The maximum amount of deformation due to buckling can be determined by multiplying the maximum Total Deformation from System A by the load multiplier calculated in System B.

The deformation in the X- and Z-directions are zero in System A, but buckling mode shapes show significant deformation in the X- and Z-directions in System B.

10 / 15

What is the load multiplier for the second buckling mode (System B)? Select the option that is closest to the correct simulation results.

280

1000

520

200

11 / 15

Review all 6 buckling modes of System B (“Eigenvalue Buckling”) and the image below:

Review all options below and select the correct statement.

This buckling mode does not exist for this simulation exercise.

While this buckling mode may theoretically exist, the column is unlikely to buckle in this manner under the same loads and boundary conditions since the load multiplier for this buckling mode is much higher than its first mode.

This is the third buckling mode.

This is the fourth buckling mode.

12 / 15

For the simulation exercise performed, consider all options below, and select the option that is correct.

To increase accuracy, we can change the -200 N load in the Static Structural (System A) analysis to the actual buckling load then re-run the eigenvalue buckling analysis.

To increase accuracy, one can include a nonlinear material, such as metal plasticity, in this eigenvalue buckling analysis.

The load multipliers calculated in eigenvalue buckling analyses are usually unconservative.

The deformations obtained in the eigenvalue buckling analysis may seem large, but eigenvalue buckling analysis accurately considers large deflection effects.

13 / 15

What is the load multiplier for the first buckling mode (System B)? Select the option that is closest to the correct simulation results.

280

580

200

500

14 / 15

In “Static Structural” System A, what is the deformation in the Z-direction? Select the option that is closest to the correct simulation results.

1 m

1e-3 m

4.7e-6 m

0 m

15 / 15

Review the first two buckling modes in System B (“Eigenvalue Buckling”). Review all options below and select the correct statement.

In real life, the structure under the same loads and boundary conditions will have the same probability of buckling in the first mode as it has in the second mode.

In general, the second buckling mode’s load multiplier should always be twice as much as the first buckling mode’s load multiplier; this simulation reflects this fact, indicating that results are reliable.

The load multiplier of the first two buckling modes is the same.

The first buckling mode has a lower load multiplier than the second buckling mode due to the difference in the area moment of inertia of the column in the X- and Z-directions.

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Methods of Solving Problems

Column Buckling Analysis

Total Available Time - 45 mins

Total Number of Questions - 15