Random Review Problems in Strength of Materials

Hi folks!

Today, I will be taking on the third of the four sample review problems that I have solved last Saturday. For the first problem refer to 1^st and for the second problem refer to the 2^nd. Without much ado, let me introduce the third review problem.

Determine the outside diameter of a hollow steel tube that will carry a tensile load of 500 kilo Newton (kN) at a stress of 140 megapascal (MPa). Assume the wall thickness to be one-tenth of the outside diameter.
Choices:


A. 675.2 mm	B. 112.4 mm	C. 78.5 mm	D. 98.4 mm

Solution:

This review problem is somewhat similar to the 2^nd problem, the difference is that this problem is looking for the outside diameter (D_o) of the hollow steel tube and the thickness (t) of the hollow steel tube is expressed as a fraction of the outside diameter (D_o). So the computation goes like this:

wherein:

σ is the stress, which can be expressed in terms of pound force per square inch (psi) or in kiloPascal (kPa).
F is the applied, which can be expressed in terms of pound force (lb_f) or in Newtons (N).
A is the cross sectional area, which can be expressed in terms of square inches (in²) or in square meters (m²) or in square millimeters (mm²).

Interestingly, the problem states that the thickness, t of the hollow steel tube is expressed as function of the outside diameter (D_o), thus we have an equation for the inside diameter (D_i).

And finally, we will be able to compute for the outside diameter of the hollow steel tube, by substituting all the data we have and the computations are shown below.

_{Thus, we have computed that the outside diameter (D_o) is equal to 112.4 mm; that would satisfy the given parameters such as stress and tensile load. The answer is also found in the choices, which is in letter B.}

I guess that would be all for the third review problem relating to Strength of Materials, it's pretty easy and I hope you learn from this presentation.

Thank you for the readers that spent their precious time reading this blog.

Much love and respect.

Ace | @josephace135

_{Presentation of the calculations where made possible using the Equation features of MS Word. All screenshots are made by me and is made possible by Snipping Tool application.}

Random Review Problems in Strength of Materials | Part 3 of 4