# Finite Element Method Questions and Answers – Axis Symmetric Problem Modelling and Boundary Conditions

This set of Finite Element Method Multiple Choice Questions & Answers (MCQs) focuses on “Axis Symmetric Problem Modelling and Boundary Conditions”.

1. Axisymmetry implies that points lying on the z- axis remains _____ fixed.
a) Tangentially
b) Spherically
d) Circularly

Explanation: Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis. Surface element may refer to an infinitesimal portion of a 2D surface, as used in a surface integral in a 3D space.

2. Modeling of a cylinder of infinite length subjected to external pressure. The length dimensions are assumed to be _____
a) Finite
b) Non uniform
c) Perpendicular
d) Constant

Explanation: The traditional view is still used in elementary treatments of geometry, but the advanced mathematical viewpoint has shifted to the infinite curvilinear surface and this is how a cylinder is now defined in various modern branches of geometry and topology.

3. Press fit of a ring of length L and internal radius rj onto a rigid shaft of radius r1+δ is considered. When symmetry is assumed about the mid plane, this plane is restrained in the _____
a) X direction
b) Y direction
c) Z direction
d) Undefined

Explanation: A drive shaft, driveshaft, driving shaft, propeller shaft (prop shaft), or Cardan shaft is a mechanical component for transmitting torque and rotation, usually used to connect other components of a drive train that cannot be connected directly because of distance or the need to allow for relative movement between them.

4. The condition that nodes at the internal radius have to displace radially by δ , a large stiffness C is added to the _____
a) Co-ordinates
b) Length
c) Diagonal locations

Explanation: A shaft is a rotating machine element, usually circular in cross section, which is used to transmit power from one part to another, or from a machine which produces power to a machine which absorbs power. The various members such as pulleys and gears are mounted on it.

5. Press fit on elastic shaft, may define pairs of nodes on the contacting boundary, each pair consisting of one node on the _____ and one on the ______
a) Shaft and couple
b) Sleeve and shaft
c) Shaft and sleeve
d) Sleeve and couple

Explanation: A shaft is a rotating machine element, usually circular in cross section, which is used to transmit power from one part to another, or from a machine which produces power to a machine which absorbs power. A flexible shaft or an elastic shaft is a device for transmitting rotary motion between two objects which are not fixed relative to one another.
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6. For a Belleville spring the load is applied on _____
a) Shaft
b) Hole
c) Periphery of the circle
d) Coupling

Explanation: The Belleville spring, also called the Belleville washer, is a conical disk spring. The load is applied on the periphery of the circle and supported at the bottom.

7. On Belleville spring the load is applied in ______
a) X direction
b) Z direction
c) Y direction
d) Axial direction

Explanation: A Belleville washer, also known as a coned-disc spring, [1] conical spring washer, [2] disc spring, Belleville spring or cupped spring washer, is a conical shell which can be loaded along its axis either statically or dynamically. A Belleville washer is a type of spring shaped like a washer. It is the frusto-conical shape that gives the washer a spring characteristic.

8. In the Belleville spring, the load-deflection curve is _____
a) Linear
b) Curved
c) Non linear
d) Parabolic

Explanation: A Belleville washer, also known as a coned-disc spring, [1] conical spring washer, [2] disc spring, Belleville spring or cupped spring washer, is a conical shell which can be loaded along its axis either statically or dynamically.

9. A steel sleeve inserted into a rigid insulated wall. The sleeve fits snugly, and then the temperature is raised by _____
a) Uniform
b) Non uniform
c) σ
d) ΔT

Explanation: A sleeve is a tube of material that is put into a cylindrical bore, for example to reduce the diameter of the bore or to line it with a different material. Sometimes there is a metal sleeve in the bore to give it more strength. The pistons run directly in the bores without using cast iron sleeves.

10. In a Belleville spring, load-deflection characteristics and stress distribution can be obtained by dividing the area into ____
a) Surfaces
b) Nodes
c) Elements

Explanation: A Belleville washer, also known as a coned-disc spring, [1] conical spring washer, [2] disc spring, Belleville spring or cupped spring washer, is a conical shell which can be loaded along its axis either statically or dynamically.

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