A thin plate with a width of 250 mm and a thickness of 10 mm is loaded as shown inthe figure. Observations indicate a crack with a length of 2 mm located 300 mm fromthe free end. The crack at the surface is propagating towards the interior of theplate. Determine the minimum required critical stress intensity factor, Kic (inMPa.m1/2) for the plate material. Consider a factor of safety of 5.9. Do not considerthe transverse shear stress.25018 kN3002Dimensions are given in millimeters25 kN

Answered: Image /qna-images/answer/c636aceb-0a5c-42fa-bf64-d9ceb5edf1ad.jpg

Answered: A thin plate with a width of 250 mm and…

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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Determine the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 3.2 x10-4 mm. The length of the crack is 1.9x10-² mm in an infinite plate when a tensile stress of 250 MPa is applied.
The specimen failed a tensile test at an angle of 52° when the axial loadit was 19.80 kips. If the diameter of the specimen is 0.5 in., determine the stressesaverage normal and shear acting on the inclined fault plane. Also, whatis the average normal stress acting on the cross section whenthe mistake? Is this normal stress greater or less than the normal stress in the failure zone?Do you think the specimen failed due to shear stress or normal stress?
The stress intensity factor for a partial-through thickness crack is given bywhere a is the length of of crack through a wall thickness t. If the crack is 10 mm deep in a wall 20 mm thick determine whether the wall will support a stress of 190 MPa if it is made from steel with fracture toughness of 30 MPA m1/2
For many viscous materials, the viscosity n may be defined in terms of the expression deldt where o and dɛ/dt are, respectively, the tensile stress and the strain rate. A cylindrical specimen of a soda-lime glass of diameter 6 mm (0.24 in.) and length 250 mm (9.9 in.) is subjected to a tensile force of 9 N (2.02 Ib;) along its axis. If its deformation is to be less than 1.7 mm (0.067 in.) over a week's time, using Figure 13.14, determine the maximum temperature to which the specimen may be heated.
Three cases of plane stress at yield or fracture are shown in the figures. Examine each case and determine what type of failure is likely to occur. Limit the choice of criteria to the maximum normal-stress, distortion-energy, and maximum shear-stress theories. Explain your reasoning.
A plate with width w = 90 mm and thickness t = 5 mm carries a uniformly distributed tensile force P = 30 kN in longitudinal direction. The plate has an external transverse crack with length of 18 mm. To prevent sudden fracture, calculate the minimum required critical stress intensity factor (KIc) for mode I (in MPa.m1/2) for the plate material. Assume a safety factor of n = 2.4.
Explain the method of representing the combination of normal and shear stresses acting on any plane through an incremental element on shear stress–normal stress coordinates.
di, E1 dz, Ez 0,4 m 0,5 m 0,7 m di = 80 mm , In the loaded system as in the figur e on the left, a blind hole of 0.4m 1 40 kN was drilled in the d2 diamete r and 0.5 m long part d3 diameter. A load of 140 kN is applied to the e nd of the system. Calculate how m uch the temperature of the system must be increased in order for the t otal deformation to be zero. E1 = 200 GPa a1=12x10-6 E2 = 100 GPa a2=16x10-6 d2 = 50 mm, d3= 30 mm
A cylinder has an internal diameter of 230 mm, has walls 5 mm thick and is 1 m long. It is found to change in internal volume by 12.0 × 10-6 m³ when filled with a liquid at a pressure p. If E=200 GN/m² and v = 0.25, and assuming rigid end plates, determine: (a) the values of hoop and longitudinal stresses; (b) the modifications to these values if joint efficiencies of 45% (hoop) and 85% (longitudinal) are assumed; (c) the necessary change in pressure p to produce a further increase in internal volume of 15%. The liquid may be assumed incompressible.
Tutorial 4 A 70 mm diameter bar is found to contain a a crack which is located circumferentially 8mm deep around the outer surface, and penetrating 8 mm deep. The bar is subjected to cyclic stress which varies from 40 MN/m? to 100 70 mm dia. MN/m?. Given that Kic=60 MN/m3/2 for the same environment, determine whether the crack will propagate to the failure.
Consider a crack in a plate with length 2a, where a = 7 mm. The stress perpendicular to the crack is 169 MPa. What is the mode I stress intensity factor in MPa √/m?
A closed cylinder (26 + 60) cm long, containing 3 MPa pressurized fluid, due to this pressure a change in volume and change in length occurs has the values 1.535 × 10-6 m3 and 4.2 x 10-5 m3, respectively. Determine: (a) the diameter and thickness of the cylinder. (b) the hoop and longitudinal stresses. (c) to what value can the fluid pressure be increased before failure occurs according to the maximum principal stress theory of elastic failure? (d) under the pressure produced in (c), what will be the extra fluid required to pumped into the cylinder. For the material of the cylinder, E 200 GPa, v = 0.3, and the || yield stress oy in simple tension 280 MPa.

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