# Civil Engineering Drawing Questions and Answers – Curves Used in Engineering Practice

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This set of Civil Engineering Drawing Multiple Choice Questions & Answers (MCQs) focuses on “Curves Used in Engineering Practice”.

1. Parabolic curves is not used in ________
a) Arches
b) Bridges
c) Sound reflectors
d) Boring

Explanation: Mostly used in construction and also for converging or diverging light since radiation often needs to be concentrated at one point (e.g. radio telescopes, pay TV dishes, solar radiation collectors) also to be transmitted from a single point into a wide parallel beam (e.g. headlight reflectors). Boring uses single point cutting tools which are straight vertical shaped.

2. By an equation how can you define a cycloid?
a) y = a(1-sin α)
b) x = a(α – cos α)
c) x = a(α – sin α)
d) x = a(1- sin α)

Explanation: Cycloid is a curve generated by a point on the circumference of a circle which rolls along a straight line. It can be described by an equation,
y = a(1 – cosα) or x = a(α – sin α).

3. When the point is within the circle, the curve is called an ________
a) Inferior trochoid
b) Superior trochoid
c) Inscribed trochoid
d) Superior trochiod

Explanation: Trochoid is a curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line. The curve generated below shows us the inferior trochoid.

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4. Figure below represents a section (shaded) obtained due to intersection by a plane that is parallel to the axes of the cones, what it the section called?

a) Parabola
b) Hyperbola
c) Ellipse
d) Cycloid

Explanation: Hyperbola concept originated in Greek, can be defined as a set of points in a plane whose distances to two fixed points in the plane have a constant difference. It is formed by the intersection of a plane with a right circular cone. Equation of parabola: x2/a2 – y2/b2 = ±1.
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5. For eccentricity in ellipse (e) which relation is correct?
a) e < 1
b) e = 1
c) e > 1
d) e = ∞

Explanation: Eccentricity can be defined as a parameter associated with every conic section. It can be thought of a measure of how much the conic section deviates from being circular. When (e < 1 Ellipse), (e = 1 Parabola), (e > 1 Hyperbola), (e = ∞ straight line), (e = 0 Circle).

6. When a uniform and flexible chain hangs from two pegs, its weight is uniformly distributed along its length. The shape it takes is called a _________
a) Catenary
b) Parabola
c) Hyperbola
d) Ellipse

Explanation: When a uniform and flexible chain hangs from two pegs, its weight is uniformly distributed along its length. The shape it takes is called a catenary. The catenary curve has a U-like shape, superficially similar in appearance to a parabola, but it is not a parabola. The catenary is also called the alysoid, chainette, or, particularly in the materials sciences, funicular. This figure blow represents a catenary and a parabola.

7. A curve defined by an equation x2/a2 + y2/b2 = 1 is known as ________
a) Ellipse
b) Directrix
c) Parabola
d) Hyperbola

Explanation: A plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal. It is a conic section formed by the intersection of a right circular cone by a plane that cuts the axis and the surface of the cone.

8. The curve generated by a point on the circumference of a circle, rolling along another circle inside it, is called a ________
a) Epicycloid
b) Epitrochoid
c) Hypocycloid
d) Trochoid

Explanation: Hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. It is comparable to the cycloid but instead of the circle rolling along a line, it rolls within a circle. In the figure below, the circle with radius b rolls inside the bigger circle thus making the curves known as hypocycloid.

9. The curve generated by a point fixed to a circle outside its circumference as it rolls along a straight line is called a _________
a) Inferior epitrochoid
b) Superior trochoid
c) Inferior trochoid
d) Superior epitrochoid

Explanation: Trochoid is a curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line and if the points would had have been outside the circumference of the circle then it would have been called as superior trochoid. The below diagram shows a superior trochoid.

10. The curve generated by a point fixed to a circle outside its circumference s it rolls along a circle outside it, is called _______________
a) Inferior epitrochoid
b) Superior trochoid
c) Inferior trochoid
d) Superior Epitrochoid

Explanation: An epitrochoid is a roulette traced by a point attached to a circle of radius r rolling around the outside of a fixed circle of radius R, where the point is at a distance d from the center of the exterior circle.

11. Which of the following is not true regarding concentric and eccentric circles?
a) Concentric circles have a common centre point
b) Eccentric circles have no common centre point
c) Concentric circles have no common centre point
d) Two or more circles with a common centre point are called concentric

Explanation: When a circle is fully contained within another circle, they can be either eccentric or concentric. If they share the same centre, they are called concentric (please refer figure a) or else, they are said to be eccentric (please refer figure b).

12. Which of the following is not present in a circle?
a) Angle
b) Centre
c) Sector
d) Eccentricity

Explanation: Eccentricity can be defined as a parameter associated with every conic section. It can be thought of as a measure of how much the conic section deviates from being circular. Options like angle, centre and sector are there in a circle except the eccentricity.

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