1. Using the connectivity of the elements, the internal virtual work can be expressed in the form _____
a) ΨT=KQ
b) ΨT=K
c) KQ=F
d) σ=Dε
Explanation: The principle of virtual work states that in equilibrium the virtual work of the forces applied to a system is zero. Newton’s laws state that at equilibrium the applied forces are equal and opposite of the reaction, or constraint forces.
2. In axisymmetric problems, by using stress strain relation and strain displacement relation we can obtain an equation that is ____
a) σ=DB̅q
b) σ=D
c) σ=Dε
d) σ=Dε0
Explanation: The relationship between the stress and strain that a particular material displays is known as that particular material’s stress–strain curve. The strains give information about the deformation of material particles but, since they do not encompass translations and rotations, they do not give information about the precise location in space of particles.
3. The temperature effect on axisymmetric formulation. The vector ε̅0 is the initial strain evaluated at the centroid, representing the average temperature rise of the element is _____
a) θe=2Πr̅
b) θe=2Πr̅AeB̅TDε̅0
c) K=QF
d) σ=Dε0
Explanation: The amount of heat transferred is directly proportional to the temperature change. Temperature is a proportional measure of the average kinetic energy of the random motions of the constituent microscopic particles in a system (such as electrons, atoms, and molecules); but more rigorous definitions include all quantum states of matter.
4. Uniform increase in temperature of, ΔT introduces initial _____
a) Normal strain
b) Strain
c) Stresses
d) Kinetic energy
Explanation: Strain, is a term used to measure the deformation or extension of a body that is subjected to a force or set of forces. The strain of a body is generally defined as the change in length divided by the initial length. The elongation of the bar is assumed normal, or perpendicular, to the cross section. Therefore, like stress, the strain is called a normal strain.
5. Axisymmetry implies that points lying on the z- axis remains _____ fixed.
a) Tangentially
b) Spherically
c) Radially
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.
6. 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.
7. 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.
8. 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
d) Radius
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.
9. 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.
10. 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.