An 8-cm-square bar of steel is found to contain a1-mm corner crack, oriented perpendicular to the length ofthe bar. If an axial stress is applied from 0 to 420 MPa at afrequency of once every 10 minutes, how long will it take forthe rod to fracture? The properties of the bar are:KIC = 90 MPa √m , σys = 1500 MPa, and the crack growthrelation is da/dN = 2 x 10-37 ΔK4, with da/dN and ΔKbeing given in units of m/cycle and Pa √m , respectively

Q: circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; V = 0.33] pipe has an outside diameter of…

A: Given:Youngs modulus, E=70 GPaThermal coefficient, α=22.5*10-6/°CV=0.33Outside diameter, D=225…

Q: The assembly shown consists of an aluminum shell (E = 70 GPa, a0 = 23.6 x 10/°C) fully bonded to a…

A: Given data: EAl=70 GPaαAl=23×10-6 per °CES=200 GPaαS=11.7×10-6 per °CTi=20°CTf=180°C Need to…

Q: An axial tensile load of 1.5 kN is applied to the St37 steel plate with a central crack as shown in…

A: First, let's calculate the strain energy release rate (G):G = (P^2) / (E * π * a)Rearranging the…

Q: when they are initially pinned to a straight, rigid, horizontal beam BF. Subsequentially, heating of…

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Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of…

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Q: Consider the maximum stress when a solid with a circular hole in the center is loaded with an…

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Q: A thin metal alloy plate is loaded by biaxial stress (2 directions) given by 8000 psi in the x…

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Q: Problem 1.13 A large steel plate under uniform applied tensile stress contains three cracks, which…

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Q: In a volume element with dimensions dx, dy, dz the negative y-face has a 2 MPa stress in the…

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Q: You measure the strains ɛrx 30E – 6 and ɛyy = 10E – 6 on the surface of a thin part (plane stress).…

A: Find the stresses in x and y directions.

Q: III-A component is subjected to a cyclic loading at the frequency of once every 5 minutes for 5…

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Q: A load of P=3.1 kip is applied to the A-36 structural- steel beam. The modulus of elastisity and…

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Q: Rods (1) and (2) were supposed to fit exactly between the rigid walls at A and C, as indicated in…

A: Given DataE1=74 GPaA=1749 mm2L=738 mmE2=204 GPa

Q: The shear stress-strain diagram for an alloy is shown in the figure below (Figure 1). Take ✓ = 0.3.…

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Q: A tensile test specimen of stainless steel alloy having a diameter of 0.495 in. and a gage length of…

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Q: A cylindrical rod has initial dimensions of length ? = 4 m and radius ? = 1 cm. When the rod is…

A: Given data: The external force, P = 200 kN. The change in length, L'=4.024 m. The change in radius,…

Q: Q1. Determine the maximum strain energy that can be acquired by the composite rod ABC without…

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Q: y P

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Q: A certain force F is applied at D. OABC bar is made of a brittle material with 210 MPa ultimate…

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Q: 160 100 fracture 80 4mm 3mm 0.02 0.06 0.15 Strain Stress (MPa)

A: GivenStress at the point of fracture= 100 MPa=100×106 PaStrain at the point of fracture= 0.15Volume…

Q: Determine the total strain energy and total potential energy in terms of the Prandtl stress function…

A: An analytical tool for two-dimensional incompressible fluid flow, the Prandtl stress function is…

Q: A planar stress element has the stress state: O₂ = 16 MPa, 0y = 44 MPa and Txy = 39 MPa. Through…

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.