A typical aluminum-alloy scuba diving tank is shown in the figure. The outside diameter of the tank is 180mm and the wall thickness is13mm. If the air in the tank is pressurized to 15.1MPA, determine:(a) the longitudinal and hoop stresses in the wall of the tank.(b) the maximum shear stress in the plane of the cylinder wall.(c) the absolute maximum shear stress on the outer surface of the cylindrical wall.Answers:MPa(a) Ojong =MPaOnoopMPa(b) Tmax =MPa(c) Tabs max

Given data: do=180 mmt=13 mmP=15.1 MPa Need to determine the longitudinal and hoop stresses in the…

Answered: A typical aluminum-alloy scuba diving…

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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The stress state at a point of a structural member is as given in the figure. It is known that the magnitude of the stresses shown in the figure is 155 MPa and O=25°, determine (a) the orientation of the axis at which maximum compressive stress occurs with respect to x axis, (b) the orientation of the plane at which maximum shear stress occurs with respect to x-y plane, (c) the principal tensile stress, (d) the normal stress oy. Ensure that you express your answers using appropriate units and signs.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S=600 psi, Sy = 2900 psi, and S 790 psi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g, see Fig. 12.15 or Fig. 12.16) (d) Determine the absolute maximum shear stress at the point. Sy Part 1 Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress. Answer: psi R = psi
An element in plane stress is subjected to stresses: 0 = 85 MPa, o, = -30 MPa, and Try = 32MPa, as shown in the figure below. (1) Determine the principal stresses and show them on a sketch of a properly oriented element; (2) Determine the maximum shear stresses and show them on a sketch of a properly oriented element. 30MPA 85MPA 32MPа 1
A steel cylindrical pressure vessel with closed ends is 25 cm external diameter and 5 mm thick It is wound closely with a single layer of circular wire of diameter 1.2 mm. Under the tension of 96 N/mm'. If the cylinder is treated as thin. Calculate (1) Initial stress in cylinder. (ii) Initizl pressure which will produce a stress of 48 N/mm2.
The tank shown in Figure below is fabricated from t = 1/8 in steel plate. The maximum longitudinal and circumferential stress caused by an internal pressure of 125 psi (Ib/in²). 1. Drive the expressions for longitudinal and tangentional stresses? 2. Calculate the maximum longitudinal and circumferential stress caused by an internal pressure? Fw Fw Fp Fp XLV 1.5 ft |1= 1/8 in Fw Fw Fw Fw 0.75 ft LONGITUDINAL STRESS, ₁ TANGENTIAL STRESS , 2 ft 1.5ft ث إضافة ملف
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The stresses shown in the figure act at a point in a stressed body. Note that the given stress values are absolute values and stress sign should be determined based on the figure.(a = 75°, 0,= 90 MPa, ay= 75 MPa, T= 54 MPa] Oy ox. Determine the absolute value of the shear stress (Tnt) at this point on the inclined plane. Answer: MPa Determine the normal stress on the inclined plane (o). 159.2 MPa 105.9 MPa 207.6 MPa 126.8 MPa -90.9 MPa
Find the stress acting on the surface of a thin sphere of diameter 15 cm, thickness 0.25 cm and the internal pressure is 2 MPa
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O Solve two problems on statically indeterminate structures(strain energy method), two on thin wall pressure vessels(1-sphere and 2-cylinder), and one on thick wall cylinder, given below. A steel cylinder is 160 mm ID and 320 mm OD. If it is subject to an internal pressure of 150 MPa, determine the radial and tangential stress. Determine the maximum shear stress in the cylinder. Assume it has closed ends.
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Q4 / A thick cylinder of (200mm) external diameter and (100mm) internal diameter, the internal pressure of (90MPa) applied only, Determine:- 1- Stresses that developed on outer and inner surfaces of cylinder. 2- Strains at the outer and inner surface of cylinder. E-210GPa, v=0.3

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