If the equation ∫Ωche\((\frac{\partial w_1}{\partial x}\sigma_{xx}+\frac{\partial w_1}{\partial y}\)σxy-w1fx+ρw1\(\ddot{u_x})\)dxdy-&oint;Γchew1(σxxnx+σxyny)ds=0 represents the weak form of plane elasticity equations, then the weight functions w1 and w2 are the first variations of ux and uy, respectively.

If the equation ∫Ωche\((\frac{\partial w_1}{\partial x}\sigma_{xx}

1.	If the equation ∫Ωche\((\frac{\partial w_1}{\partial x}\sigma_{xx}+\frac{\partial w_1}{\partial y}\)σxy-w1fx+ρw1\(\ddot{u_x})\)dxdy-∮Γchew1(σxxnx+σxyny)ds=0 represents the weak form of plane elasticity equations, then the weight functions w1 and w2 are the first variations of ux and uy, respectively.
A.	True
B.	False
Answer» B. False

Discussion

No Comment Found

Related MCQs

If the equation ∫Ωche\((\frac{\partial w_1}{\partial x}\sigma_{xx}+\frac{\partial w_1}{\partial y}\)σxy-w1fx+ρw1\(\ddot{u_x})\)dxdy-&oint;Γchew1(σxxnx+σxyny)ds=0 represents the weak form of plane elasticity equations, then the weight functions w1 and w2 are the first variations of ux and uy, respectively.
For plane elasticity problems, which option represents the essential boundary conditions among the governing equations?
If Fx, Fy denotes the components of the force vector, then which option is the correct secondary degrees of freedom present in the following figure of a plane elasticity problem?
If U,V denotes the components of the displacement vector, then which option is the correct primary nodal degrees of freedom present in the following figure of a plane elasticity problem?
For a plane elasticity problem, which term in the weak form of the principle of virtual displacements is affected by a change in the applied surface traction forces?
Under plane elasticity, which force is responsible for doing the virtual work \(\int_{V_e}\)fiδuidV in the weak form of the principle of virtual displacements?
In the weak form of the principle of virtual displacements applied to a plane elastic finite element, what does the term \(\int_{V_e}\)(ρü iδui)dV correspond to?
In the weak form of the principle of virtual displacements, 0=\(\int_{V_e}\)(σijδεij+ρüiδui)dV-\(\int_{V_e}\)fiδuidV-∮set̂iδuids , applied to plane finite elastic element,which term corresponds to virtual strain energy stored in the body?
In the weak formulation of the plane elasticity equations, even though the methods, the principle of virtual displacements and the three-step weak formulation, give, mathematically different finite element models, they are the same in their algebraic forms.
What is the correct form of the principle of virtual displacements applied to plane finite elastic element If Ve is the volume of element and se is its surface?

Discussion

No Comment Found

Related MCQs

Reply to Comment