Refresher 2 Flashcards

1
Q

In mechanics, a __________ is a structural member
primarily designed to resist loads applied laterally
across its axis.

A

beam

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2
Q

It is supported at both of its supports. While one end
has a pin support (hinged), the other end comprises the roller
support.

A

SIMPLy supported beam

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3
Q

It is a type of beam extending over more than two
supports distributed throughout its length.

A

Continuous beam

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4
Q

A type of beam which has one end fixed (constrained),
while the other end extending outwards is free to
move. So, the beam is only supported at one end.

A

Cantilever beam

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5
Q

A type of beam which has a significant length
extending beyond the supports.

A

Overhanging beam

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6
Q

These beams are constrained at both ends and are
prevented from rotation and lateral movement at
both supports.

A

Fixed end beam

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7
Q

Allows translation in the direction perpendicular to the support surface and prevents translation in the parallel direction. It can resist vertical forces but cannot resist horizontal forces or moments.

A

Roller support

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8
Q

Allows rotation about the support axis but prevents translation in any direction. It can resist vertical and
horizontal forces but cannot resist a moment
(rotation).

A

Pinned support or hinge

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9
Q

Prevents all movement, including both translation and rotation. It can resist vertical and horizontal forces, as
well as moments.

A

Fixed support

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10
Q

It is a methodology for improving business processes by reducing defects, errors, and variation, ultimately aiming for near-perfect quality (3.4 defects per million opportunities).

A

Six sigma

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11
Q

DMAIC stands for

A

Define, Measure, Analyze, Improve, Control

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12
Q

It states that for many outcomes, roughly 80% of consequences come from 20% of causes.

A

Pareto Principle

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13
Q

A hazard identification technique in which all known failure modes of components or features of a system are considered in turn and undesired outcomes are noted. It is often used in
combination with hazard and operability (HAZOP) studies or
fault tree analysis.

A

FMEA

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14
Q

This is a systematic study of the causes of failures and their effects. All causes or modes of failure are considered for each element of a system, and then all possible outcomes or effects are recorded.

A

FMEA

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15
Q

A logic model that graphically portrays the combinations of failures that can lead to a specific main failure or incident of interest.

A

Fault tree

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16
Q

A discontinuity that occurs when you have a rational expression with common factors in the numerator and denominator is known as:

A

Removable discontinuity

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17
Q

Regression analysis makes use of the relationship between two or more quantitative variables so that one variable , called the dependent variable or response variable, which can be predicted with the knowledge of the values of the other variable, the other variable is called the _______

A

Independent variable

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18
Q

A sequence of experiments in which each experiment has a finite number of outcomes with given probabilities is called:

A

Stochastic process

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19
Q

The maxima and minima (collective) of a function are known collectively as _______.

A

extremas

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20
Q

The maxima and minima of a function are known collectively as _______.

A

Extrema

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21
Q

At the maximum point on a curve:

A

F’(x) = 0 and f’‘(x) = negative

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22
Q

An organized effort to identify and evaluate hazards associated with
processes and operations to enable their control. This review
normally involves the use of qualitative techniques to identify and assess the significance of hazards. Conclusions and appropriate
recommendations are developed. Occasionally, quantitative methods
are used to help prioritize risk reduction.

23
Q

A scenario-based hazard evaluation procedure in which a team uses a series of guide words to identify possible deviations from the intended design or operation of a process, then examines the potential consequences of the deviations and the adequacy of existing safeguards.

24
Q

It has been defined to include all activities required to identify hazards, to identify potential loss event scenarios, and to evaluate the risks of a facility throughout its life cycle, to ensure that risks to employees, the public or the environment are properly managed.

25
When a normally distributed data is standardized using the Z-score, the mean and standard deviation becomes ______ and _______, respectively.
Mean = 0 Standard deviation= 1
26
A logic model that graphically portrays the **combinations of events and circumstances** in an incident sequence.
Event tree
26
What is the Null Hypothesis in ANOVA?
There is no difference among group means
27
If the function consists of 2 independent variables, the corresponding general form of a linear homogenous second order partial differential equation has ______ terms
3
28
Which of the following is true about **type I error?** Type 1 error - false positive for null hypothesis (accepting alternative when it should be rejected) Null hypothesis - false rejection
Rejection of the null hypothesis when it is true
28
Which of the following theorem relates a surface integral to a volume integral?
Gauss's divergence theorem
28
It relates a **line integral** around a simple closed curve C to **double line integral** over the plane region D bounded by C.
Green's theorem
29
A differential equation is ordinary if it has
One independent variable (not consider dependent)
30
A sample of 99 distances has a mean of 24ft and a median of 24.5ft. Unfortunately, it has just been discovered that an observation which was erroneously recorded as “30” had a value of “35”. If we make this correction to the data, then:
The median remains the same, but the mean is increased
30
It occurs when a **general limit exists**, but the **function value is not defined there** (function discontinuity), breaking the second
Point discontinuity
30
Which of the following situations is not possible for a given population?
The mean is positive and the standard deviation is negative
31
The branch of statistics which deals with development of particular statistical methods is classified as
Applied statistics
32
Considering mean, mode and skewness of data, value of skewness will be negative if
Mean < mode
33
Order
Derivative
34
Dictate value for dependent variable
Independent
35
If the minimum point occurs on the **entire domain** of a function, it is called
Global minima
36
Relative minima also called as
Local minima
37
Maximum point on a curve
First derivative - 0 Second derivative - negative
38
Second derivative dictates
opening
39
Critical points where relative maxima and minima (extrema) can be seen is what first derivative value
0
40
Inflection point is when
2nd derivative is 0 There is change in concavity from left and right
41
A differential equation is partial if it has
More than one variable
42
Backward difference or decrement rule is equal to
Lim h-> 0 = f(x)-f(x-h)/h
43
forward difference or increment rule is equal to
Lim h->0 = f(x+h)-f(x)/h
44
central difference is equal to
Lim h->0 = f(x+h)-f(x-h)/2h
45
Theorem that relates line integral to double integral (2 dimensional)
Green's Theorem
46
3 dimensional of the green's theorem
Stoker's theorem
47
Let A and B be events. What is the probability P(B|A) if A and B are **mutually exclusive**
0
48
Mean and median is equal in
Symmetrical distribution