A problem on plate deflection
Submitted by Tracy on March 15, 2015 - 9:03pm
When buckling a plate of two ends fixed, the deflection equation of the plate can be expressed by: y=y0*(1-cos mx) where the maximum deflection at the center is 2*y0. With this equation, the cross sectional area and the young's modulus of the plate is usually unchange.
However, if the plate have three segments of flexural rigidity along the bending axis. The middle segment is thicker and have a far higher young's modulus than the other two segments, it is found that the deflection at the middle segment is flattened a little bit. The equation: y=y0*(1-cos mx) seems not fit this situation.
Would you give me some hints on how to calculate the deflection of the plate in this case, please? Thank you so much for your help!
Best regards,
Tracy
New forum topics
- Please help me solve this problem: Moment capacity of a rectangular timber beam
- Solid Mensuration: Prismatoid
- Differential Equation: (1-xy)^-2 dx + [y^2 + x^2 (1-xy)^-2] dy = 0
- Differential Equation: y' = x^3 - 2xy, where y(1)=1 and y' = 2(2x-y) that passes through (0,1)
- Tapered Beam
- Vickers hardness: Distance between indentations
- Time rates: Question for Problem #12
- Make the curve y=ax³+bx²+cx+d have a critical point at (0,-2) and also be a tangent to the line 3x+y+3=0 at (-1,0).
- Minima maxima: Arbitrary constants for a cubic
- Minima Maxima: y=ax³+bx²+cx+d
Re: A problem on plate deflection
Draw the M/EI diagram. Because E is larger at the mid-segment, the diagram will drop at the point of intersection of the segments. You can then find the deflection by using the concept of deviation.