A pressurized tank is constructed with a helical weld that makes an angle a = 55° with thelongitudinal axis. The tank has inner radius r = 0.6 m, wall thickness t = 18 mm, andinternal pressure p = 1.2 MPa. The pressurized tank is also subjected to the compressiveforce of 500 kN shown in the figure. The tank has modulus of elasticity E = 200 GPa andPoisson's ratio v = 0.25. For a point II on the tank surface, determine the followingquantities (40' in total):(a) The principal stresses and absolute maximum shear stress.(b) The normal and shear stresses acting on planes parallel and perpendicular to the weld;show these stresses on a properly oriented stress element.(c) The circumferential (hoop) and longitudinal strains.(d) The absolute maximum shear strain.Hint: the cross-section area of the tank can be calculated as 2nrt.Helical welda500 kNH500 kN

Calculate principal stress in the element

The principal stresses and absolute maximum shear stress. The normal and shear stresses acting on planes parallel and perpendicular to the weld; show these stresses on a properly oriented stress element. The circumferential (hoop) and longitudinal strains.

The principal stresses and absolute maximum shear stress. The normal and shear stresses acting on planes parallel and perpendicular to the weld; show these stresses on a properly oriented stress element. The circumferential (hoop) and longitudinal strains.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

A pressurized tank is constructed with a helical weld that makes an angle a = 55° with the
longitudinal axis. The tank has inner radius r = 0.6 m, wall thickness t = 18 mm, and
internal pressure p = 1.2 MPa. The pressurized tank is also subjected to the compressive
force of 500 kN shown in the figure. The tank has modulus of elasticity E = 200 GPa and
Poisson's ratio v = 0.25. For a point II on the tank surface, determine the following
quantities (40' in total):
(a) The principal stresses and absolute maximum shear stress.
(b) The normal and shear stresses acting on planes parallel and perpendicular to the weld;
show these stresses on a properly oriented stress element.
(c) The circumferential (hoop) and longitudinal strains.
(d) The absolute maximum shear strain.
Hint: the cross-section area of the tank can be calculated as 2nrt.
Helical weld
a
500 kN
H
500 kN

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