1. Axisymmetric problems are totally defined in ______
a) xy planes
b) yz planes
c) rz planes
d) rθ planes
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. Thus, the problem needs to be looked at as a two dimensional problem in rz, defined on revolving area.
2. For axisymmetry solids gravity forces can be considered if deformation and stresses act on _____
a) X direction
b) Z direction
c) Y direction
d) Parallel to plane
Explanation: Gravity, or gravitation, is a natural phenomenon by which all things with mass are brought toward (or gravitate toward) one another, including objects ranging from atoms and photons, to planets and stars. Gravity forces can be considered if acting in z direction.
3. In axisymmetric solids, stress- strain law can be defined as ______
a) σ=D(ε-ε0)
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. It is unique for each material and is found by recording the amount of deformation (strain) at distinct intervals of tensile or compressive loading (stress).
4. The transformation relationships into strain displacement relations. Then the equation can be written as ____
a) ε=Bq
b) ε=Dq
c) ε=q
d) Elemental surface
Explanation: For a triangular element, it can be modeled by using isoparametric formulation and then by chain rule, a jacobian matrix can be formed and then by transforming the matrix into simple form it is represented as
ε=Bq.
5. In the equation Ue=\(\frac{1}{2}\)2qT(2∏ ∫ BTDBrdA)q the quantity inside the paranthesis is _____
a) Axisymmentric
b) Strain displacement relationships
c) Stiffness matrix
d) Symmetric matrix
Explanation: In the finite element method for the numerical solution of elliptic partial differential equations, the stiffness matrix represents the system of linear equations that must be solved in order to ascertain an approximate solution to the differential equation.
6. The volume of ring shaped element is _____
a) Ae=\(\frac{1}{2}\mid detJ \mid\)
b) & Ae=detJ
c) 2πr
d) 4πr2
Explanation: A ring-shaped object, a region bounded by two concentric circles. … Informally, it has the shape of a hardware washer. The volume of the ring-shaped element is Ae=\(\frac{1}{2}\mid det J \mid\).
7. The element body force vector fe is given by _____
a) Co-ordinates
b) fe=\(\frac{2Πr̅A_e}{3}\)[f̅r,f̅z,f̅r,f̅z,f̅r,f̅z]T
c) fe=\(\frac{2Πr̅A_e}{3}\)[f̅x,f̅y]T
d) fe=\(\frac{2Πr̅A_e}{3}\)
Explanation: A body force is a force that acts throughout the volume of a body. Forces due to gravity, electric fields and magnetic fields are examples of body forces. Body forces contrast with contact forces or the classical definition of surface forces which are exerted to the surface of an object.
8. A rotating flywheel with its axis in the z direction. We consider the flywheel to be stationary and apply the equivalent radial centrifugal (inertial) force per unit volume is _____
a) 2Πr
b) 4Πr2
c) ρrω2
d) ρω2
Explanation: The centrifugal force is an inertial force (also called a “fictitious” or “pseudo” force) directed away from the axis of rotation that appears to act on all objects when viewed in a rotating frame of reference.
9. Surface traction of a uniformly distributed load with components T1 and T2 is _____
a) qTTe=2Π∫euTTrdl
b) qTTe=2Π
c) σ=ε
d) ε=Dσ
Explanation: Traction, or tractive force, is the force used to generate motion between a body and a tangential surface, through the use of dry friction, though the use of shear force of the surface. Traction can also refer to the maximum tractive force between a body and a surface, as limited by available friction.
10. On summing up the strain energy and force terms over all the elements and modifying for the boundary conditions while minimizing the total potential energy. We get ______
a) σ=D
b) Kinematic energy
c) ε=Dσ
d) KQ=F
Explanation: KQ=F by this we can obtain unknown displacement vectors. A displacement is a vector whose length is the shortest distance from the initial to the final position of a point P. It quantifies both the distance and direction of an imaginary motion along a straight line from the initial position to the final position of the point.