Formulate the equations of equilibrium
Course:- Mechanical Engineering
Reference No.:- EM131163177

Assignment Help
Expertsmind Rated 4.9 / 5 based on 47215 reviews.
Review Site
Assignment Help >> Mechanical Engineering

Find an approximate solution for the clamped circular orthotropic plate of radius "a" (see Problem 6.3) for a centrally located concentrated load. What is the ratio of maximum deflections between the orthotropic plate and the isotropic plate for the same coordinate function you have used?

Problem 6.3:

An orthotropic continuum has three planes of symmetry with respect to elastic properties. For plane stress, generalized Hooke's law for such a material is given as


(Note there are four elastic moduli.) Formulate the equations of equilibrium as well as the boundary conditions for an orthotropic plate in terms of w using rectangular coordinates. Demonstrate that your equation degenerates to the case of the isotropic plate. Use whatever results of Sec. 6.3 that are valid for this case

Put your comment

Ask Question & Get Answers from Experts
Browse some more (Mechanical Engineering) Materials
A 3000 lb automobile has a final drive ratio of 1:3 and transmission gear ratios of 1:4, 1:3, 1:2, and 1:1 in first through fourth speeds, respectively. What is the effectiv
The microstructure of a copper-silver alloy at 775°C (1425°F) consists of primary and eutectic structures. If the mass fractions of these two micro constituents are 0.75 and 0
You are throwing a dinner party and decide to prepare instant Chinese noodles (chicken flavor) for all your guests. From the cooking instruction on the back of the package, yo
Consider a model of a building whose base moves as a result of an earthquake. The building can be modeled as a single-degree-of-freedom spring-mass system where the building m
How many cycles will the material tolerate at a stress amplitude of +- 70MPa and zero mean stress? How will this change if the mean stress is 10 MPa? What if the mean stress i
RLC Series Circuit. In the study of an electric circuit consisting of a resistor, capacitor, inductor, and an electromotive force, we are led to an initial value problem of
A paper mill processes rolls of paper having a density of 984 kg/m3. The paper roll is 1.50 m outside diameter (OD) x 22 cm inside diameter (ID) x 3.23-m long and is on a simp
Calculate the Gibbs free energy change of a rubber band stretched to 5 times its original length with concurrent contractions in its other two dimensions of 2.24 times at 25 C