A hydraulic cylinder of 80 mm inside diameter and 4 mm wall thickness is welded

Question

A hydraulic cylinder of 80 mm inside diameter and 4 mm wall thickness is welded to rigid end plates. The end plates are tied together by four rods of 8 mm diameter symmetrically arranged around the cylinder. Calculate the stresses in the rods and the cylinder at the cylinder design pressure of 20 MN/m2 . The cylinder and tie rods are made from steel with a Poisson’s ratio value of 0.3.

-Draw a free body diagram of the system, and write the equilibrium relationship for the forces.

-You need to use information you were given to calculate terms you use later.

- Calculate the load bearing areas of the rod and cylinders

- Write an expression for the hoop stress in the cylinder, and calculate it.

- Calculate the force acting on the end plate of the cylinde

r - Now, consider the conditions (other than equilibrium) needed to solve a statically indeterminate system. What is the relationship of axial deflection of the cylinder and rods? - Write the expression to calculate axial strain in the cylinder (stress strain relationship).

- Write the expression to calculate axial strain in the rod

. - You now have enough equations to solve the system, and start solving them. Modify these stress strain equations to give axial deflection in the cylinder and in the rod in terms of forces

. - Now substitute this back into the relationship between the deflections. You will get an equation relating the two forces to one another.

- Substitute that equation into the first, equilibrium equation, and solve for the forces in cylinder and rod

. - Now solve for stresses in cylinder and rod

Explanation / Answer

The answer of following question is as follows. .

The force acting on the cylinder is 76 Newton.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.