Register to reply 
Validity of bending equations under different conditions 
Share this thread: 
#1
Feb1013, 09:17 PM

P: 6

Hi all,
I want to ask you a question about the bending moment equation: σ= M * y / I Does this equation have the same form if we assume, Plasticity instead of elasticity. Viscoelasticity instead of elasticity. Nonlinearity instead of linearity. Anisotropy instead of isotropy. Can you comment on the validity of the equation with these assumptions please. Thanks. 


#2
Feb1013, 10:28 PM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,319

All of the qualities you mentioned (plasticity, viscoelasticity, nonlinearity, ans anisotropy) cause the EulerBernoulli bending equation to deviate from an accurate solution.
This equation presupposes linear elastic behavior of the beam material with the added requirement that the slope of the beam under bending is also << 1. The EB equation, by the fact of its linearity, is quite useful for calculation because it permits the use of superposition when calculating the effect of multiple simultaneous beam loadings. For materials which are not linearly elastic, different methods must be employed to calculate beam responses. 


Register to reply 
Related Discussions  
Boundary conditions bending beam  Engineering, Comp Sci, & Technology Homework  0  
Range of validity of Maxwell's equations with charges  Classical Physics  3  
Checking validity of simple tensor equations  Calculus & Beyond Homework  0  
[Thermo]  Maxwells Relations? Prove the Validity of the Equations  Engineering, Comp Sci, & Technology Homework  5 