# Theory Quiz

Note: The Expected Completion Time for this quiz is 60 mins but, the Maximum Available Time to complete the quiz is 90 mins.

#### Total Number of Questions - 45

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Capturing Complex Response of Structures - Theory Quiz

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1 / 45

Let us assume that water is an incompressible material. What happens when one squeezes a balloon filled with water? Pick the two best answers.

2 / 45

Which equation correctly represents total Strain $\varepsilon ^{Tot}$, where $\varepsilon ^{e}$ = Elastic strain and $\varepsilon ^{th}$ = Thermal Strain ?

3 / 45

How does the Penalty Formulation enforce contact?

4 / 45

If the von Mises stress of the structure is 300MPa and the yield stress of the material is 280 MPa, in the case of isotropic hardening, the_____. Select the two best answers.

5 / 45

Select the two BEST phrases to complete the following statement. In the equation below, the main diagonal terms _____.

$\begin{bmatrix} \sigma_{xx}\\ \sigma_{yy}\\ \sigma_{zz}\\ \sigma_{yz}\\ \sigma_{xz}\\ \sigma_{xy} \end{bmatrix} =\frac{E}{(1+\nu )(1-2\nu )}\begin{bmatrix} 1-\nu&\nu&\nu&0&0&0\\ \nu&1-\nu&\nu&0&0&0 \\ \nu&\nu&1-\nu&0&0&0 \\ 0&0&0&\frac{(1-2\nu)}{2}&0&0 \\ 0&0&0&0&\frac{(1-2\nu)}{2}&0 \\ 0&0&0&0&0&\frac{(1-2\nu)}{2}\\ \end{bmatrix}\begin{bmatrix} \varepsilon_{xx}\\ \varepsilon_{yy}\\ \varepsilon_{zz}\\ \varepsilon_{yz}\\ \varepsilon_{xz}\\\varepsilon_{xy}\end{bmatrix}$

6 / 45

When a metal cap that is screwed onto a glass bottle is stuck, it can be opened after running hot water over the cap. Select the best option that explains why.

7 / 45

How does a typical material behave when the temperature changes? Choose 2 best options.

8 / 45

Which three rules enforce Penalty Formulation contact numerically?

9 / 45

If the body is constrained to prevent free thermal expansion, then _____. Select the best option that completes the sentence.

10 / 45

In measuring the successive peaks using the logarithmic decrement, it is noticed very little decrease over multiple periods. What can be concluded regarding the damping ratio?

11 / 45

The dissipation of energy due to damping can be manifested into which forms? Pick the two best options.

12 / 45

Consider two bodies, A & B, separated by an initial gap, with frictional contact defined at this gap. Body A is fixed. Body B is unconstrained and subject to an external force moving it toward body A. Which statement best describes the expectation of a static analysis solved implicitly?

13 / 45

Consider a case with a block of steel and a block of aluminum, neglecting the effect of gravity and assuming linear elastic material response. The two blocks rest on a hard ground and have the same compressive force applied on top. The block of aluminum has _____. Select the 2 best options that complete the sentence for this scenario.

14 / 45

A material which deforms such that it changes its shape but does not change its volume is _____. Select the best option to complete the sentence.

15 / 45

Why does a ceramic vase break into many small pieces? Select the two best answers.

16 / 45

In a system that has some form of damping, which are the mechanisms of energy dissipation? Select the three best options.

17 / 45

With respect to the relationship between logarithmic decrement and damping ratio, which of the following is correct?

18 / 45

When choosing materials for the construction of an engine block, which of the following are criteria you would use in your selection? Select the 3 best options.

19 / 45

Which of the following statements are true about compressible materials? Choose the two best options.

20 / 45

What are characteristics of elastic deformation? Select the 2 best options.

21 / 45

With regards to a frictional contacting interface, what is the role of the tangential force component that is developed at the contacting interface?

22 / 45

Consider a steel dog-bone test specimen under uniaxial tension loading. The specimen is loaded beyond yield. Upon unloading the _____. Select the two best answers.

23 / 45

Why does Aluminum expand more than Steel under the same temperature increase?

24 / 45

Hardening modulus is_____.  Select the two best answers to complete this sentence.

25 / 45

Plastic strain can be calculated as:

26 / 45

Choose 2 examples that are mainly dependent on the frictional force.

27 / 45

What is main objective of contact formulation between the bodies?

28 / 45

With regards to bonded contact, which of the following statements is correct for the normal and tangential force components developed at the contacting interface?

29 / 45

Why is there a negative sign in the Poisson's ratio equation? Select the 2 best answers.

30 / 45

You are designing a liquid thermometer to measure temperature. Which of the following liquids would you choose? For simplicity, let's assume that all the other properties of the liquids are similar and your choice is based only on the coefficient of thermal expansion (CTE) of the liquid.

31 / 45

What law is used to characterize frictional contact?

32 / 45

What is variable E in the equation described by the Hooke's Law? Select 3 best answers.

33 / 45

The damping ratio is defined as:

34 / 45

A body with volume V and density d is immersed in water at depth h. It has pressure p acting uniformly in all directions. What is the value of the hydrostatic stress in the body?

35 / 45

In the Rayleigh damping equation, how does increasing frequency affect the contribution from the mass and stiffness terms to the damping ratio? Pick the two correct responses.

36 / 45

A slender bar is fixed at both its ends. It is then heated such that its temperature increases uniformly by $\Delta T$. This produces a thermal strain $x$ in the axial direction. What is the elastic strain produced in the bar in the axial direction?

37 / 45

Cork has a Poisson's ratio of 0.0. This means that cork is _____. Select the best option to complete the statement.

38 / 45

Volumetric strain on a body is non-zero, but the deviatoric strain on the body is zero. Which of the following statements are true? Pick the two best answers.

39 / 45

Consider a steel dog-bone test specimen under uniaxial tension loading. Initially the relationship between stress and strain ____. Select the two best answers.

40 / 45

Damping, and the associated rate of energy dissipation, can be a function of which of these? Pick the three best options.

41 / 45

Which of the following statements regarding damping are correct? Pick the two best options.

42 / 45

When choosing materials for the construction of an airplane, which of the following are criteria you would use in your selection? Select the 3 best options.

43 / 45

What inputs are needed to define bilinear plasticity? Select 3 best answers

44 / 45

A body is deformed under external loads. The body deforms a uniform strain throughout described by the following strain tensor:

$\varepsilon = \begin{bmatrix} a & 0 & 0\\ 0 & a & 0\\ 0 & 0 & a \end{bmatrix}$

Which two statements from the following options are true?

45 / 45

Bending a steel structure into a particular shape, such that it permanently deforms, without cracking, requires ____. Select the two best answers.