Calculate the count of cycles resulting in breakdown. Given : Crack length = 0.2 mm 3 Fracture toughness = 1708 N/mm2 Cyclic loading = 175 N/mm² Crack growth rate = 40x10-15 (AK)4 mm/cycle 38720 cycles 17929 cycles 38920 cycles 26919 cycles

Calculate the count of cycles resulting in breakdown. Given : Crack length = 0.2 mm 3 Fracture toughness = 1708 N/mm2 Cyclic loading = 175 N/mm² Crack growth rate = 40x10-15 (AK)4 mm/cycle 38720 cycles 17929 cycles 38920 cycles 26919 cycles

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 5. A tensile test was done on a magnesium sample of original diameter and original length of 12mm…

A: To plot the stress v/s strain curve and to find the required parameters Note: as per the answering…

Q: During a high cycle fatigue test, a metallic specimen is subjected to cyclic loading with a mean…

A: Given, To find, σmin/σmax

Q: The limit load of an elastic-plastic cracked three-point bend beam (Figure QA1) with S = 4W = 120…

A: Yield strength(fy)=300 Mpa Span length (S)=120 mm W=30 mm

Q: For a specimen of a steel alloy with a plane strain fracture toughness of 80 MPa√m, fracture results…

A: Given KIC=80MPamσ=510MPaa=6mm Consider the formula KIC=Yσπa80=Y×5103.14×6Y=0.036

Q: A ceramic specimen having a circular cross section of radius 2.7mm is subjected to a load of 900N.…

Q: A core sample of quartzite, 13 cm long and 6.5 cm in diameter, was tested in unconfined compression.…

Q: 1.17 Figure P1.17 shows the stress-strain relations of metals A and B during tension tests until…

A: Any pressure of a solid object creates a stretched internal stress, similar to the spring-turning…

Q: difference between the stress distribution of these two- equations ab a distance r= 0.02 a ahead of…

Q: A spherical steel pressure vessel (diameter500 mm, thickness 10 mm) is coated with brittle…

A: Step 1: Stress= E.Ɛ P = 2.05 x 10^5 x 150 X 10-6= 30 GPa Hoop stress = pd/2t = 30x0.5/2 x0.01 =750…

Q: The deformation on the given plate is shown with dotted lines. Average normal unit strain in the BD…

A: Given above diagram we have to find average shear strain along BD and shear strain at B

Q: An applied torque results in a shear strain (y) of 3.75 x 10-3 in a solid circular steel shaft. At…

Q: Copy the sketch of the tensile stress-strain test (Figure A1) results for a waisted metallic…

A: Objective: To indicate the given points on the stress-strain diagram and calculate the Young's…

Q: A steel pipe of internal diameter 799 mm and of thickness 25 mm has to be slipped on to a brass pipe…

Q: Which of the following statements regarding brittle failure and crack propagation is CORRECT?…

Q: What is the type of cup and cone fracture? a. Fatigue fracture b. Brittle fracture c. Ductile…

A: cup and cone fracture:

Q: Question No.2 Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion…

A: It is that point on stress-strain curve, till which stress is linearly varying with strain. As per…

Q: Data taken from a stress-strain test for a brittle alloy are given in the table. The curve is linear…

A: , ksi, in/in0034.30.000843.50.001347.00.001749.00.002149.50.0023The rupture stress,

Q: A metal is subjected to a stress alternating at 167 revolutions per minute between 335 MPa and…

A: Given data, σmax=335 MPaσmin=-251.25 MPa f = 1.09 C = 1.7×10-12 n = 2.91 a = 0.16 mm

Q: A three-point bending test was performed on an aluminum oxide specimen having a circular cross…

Q: 2. Please estimate the number of cycles to failure of a steel specimen under tensile fatigue loading…

A: Sm = 200 MPaSu = 560 MPa R value = 3

Q: The stress intensity factor for a partial-through thickness crack is given by where a is the length…

A: Schematic diagram of the given problem as per the statement: Factor toughness (k) = 30 Mpa m1/2…

Q: a.) Plot the S-N curve for this alloy. b.) Does this material have an endurance limit? Explain. c.)…

A: As per company policy, we are supposed to answer only the first three subparts. Kindly repost to get…

Q: Question 7: Given a 1050 HR steel, estimate (a) the rotating-beam endurance limit at 106 cycles. (b)…

A: Given data: 1050 HR steel

Q: A structural component in the shape of a flat plate 20.8 mm thick is to be made from a metal with…

A: Given, Thickness of the flat plate = 20.8 mm Yield strength =σy=533 MPa Design stress=…

Q: wo samples of a metal with an elastic modulus of 130 GPa, diameter 10 mm, and gauge length 100 mm…

A: Two samples of a metal are there with the elastic modulus 130GPa.The diameter of the metal is 10 mm…

Q: A very large, steel plate of yield stress 200 MPa and Poisson's ratio 0.3 has a crack at the centre…

A: To determine the extent of plastic region at Crack tip : For plastic region we have,…

Q: What is the fracture direction in a reservoir? a) Along the tensile stress and perpendicular to the…

A: Brief concept introduction- Fractured reservoirs- In all forms of volcanic rocks, fractured…

Q: State five(5) practical consideration in its application type of material property that is found…

A: Concrete cracks are recognized to be so complicated that their behavior and mechanisms need to be…

Q: Calculate the stress from a 0.3498 in. diameter tensile specimen yielding at 4.407 kips 46.0 ksi…

Q: 9. (a) Sketch the Mode I, Mode II, and Mode III crack opening geometries, and clearly state which is…

A: Note : As per guidelines, we will only discuss the first one as it is not particularly mentioned…

Q: Crack FIGURE 0xx . . COS 2.7 03, COS 27 K₁ ossin(cos() ਰ - X Stresses near the tip of a crack in an…

Q: A 5-mm-thick rectangular alloy bar is subjected to ajtensile load P by pins at A and B, as shown in…

A: P=24kN

Q: 4. The following creep data were obtained for a metal alloy tested under a constant load and at a…

A: Given:- Sample length (in) Time (hr) Strain δLL 2.004 0 1.002 2.01 100 1.005 2.02 200…

Q: A very large, steel plate of yield stress 200 MPa has a crack at the centre of length 18 mm,…

A: Solution:-The given values are as follows,Yield stress σys=200MPaγ=0.3Centre…

Q: During a tension test, measurements for the applied load and the corresponding elongation are taken…

A: Shear stress is the force that tend to cause deformation of the material by sliding along the plane.…

Q: (a) Determine the Brinell hardness number (HB) of the steel plate; and (b) Approximate the tensile…

A: Brinell Hardness Testing is a nondestructive testing method that determines the hardness of a metal…

Q: Calculate the count of cycles resulting in breakdown. Given : Crack length = 0.2 mm 3 Fracture…

A: Given data- Crack length=0.2 mmFracture toughness=1708 N/mm3/2Cyclic loading=175 N/mm2Crack growth…

Q: State the difference between cleavage and f

A: Solution: Difference between cleavage and fracture of minerals, using quartz and mica as examples.…

Concept explainers

Crack Detection

Concrete materials are meant for supporting structures, building foundations and they act as several load-bearing structures. Over time, due to environmental conditions, and based on the constituent materials used, concrete materials are subjected to a great degree of distress. Corrosion of the reinforcement bars due to chemical influences, uneven base, earthquake, drying shrinkages, and alkali-aggregate reactions are some of the reasons for concrete distress.

Question

Calculate the count of cycles resulting in breakdown.
Given : Crack length = 0.2 mm
3
Fracture toughness = 1708 N/mm 2
Cyclic loading = 175 N/mm²
Crack growth rate = 40x10-15 (AK)4 mm/cycle
38720 cycles
17929 cycles
38920 cycles
O 26919 cycles

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Calculation of count of cycles resulting in breakdown

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A solid cylindrical shaft has a diameter of d = 20 mm and is made from steel with an ultimate strength of Su = 850 MPa. For each of the following conditions, determine the safety factor (n) with respect to infinite fatigue life (endurance strength Se) and fracture strength (Sf) at 5 × 10¹ cycles. The loading is applied at room temperature 100 Nm (no axial load or torsion), a cold-drawn surface (a) With a bending moment of M = finish and a reliability of 95%. (b) With a torsional load of T = 200 Nm (no axial load or bending), a ground surface finish and a reliability of 99%. M T T ( M
A certain oil has a viscosity of 0.00070 Pa-sec. It is to lubricate plates. What shear force is required to deform the oil at a strain rate of 7000/sec? (Area of the plate is 1.2 sq. m) O 5.88 kN O 5.88 N O 4.08 kN O 4.08 N
A steel specimen is tested in tension. The specimen is 25 mm wide by 12.5 mm thick in the test region. By monitoring the load dial of the testing machine, it was found that the specimen yielded at a load of 160 kN and fractured at 214 kN. a. Determine the tensile stress at yield and at fracture. b. If the original gauge length was 100 mm, estimate the gauge length when the specimen is stressed to 1/2 the yield stress.
With neat sketches show three modes of fracture in a cracked material
1. a. Two relatively large plates, one of granite and one of slate, are subjected to a tensile stress of 40 MPa. If the specific surface energies for granite and slate are 0.3 J.m? and 0.7 J.m?, respectively; while modulus of elasticity values are 69 GPa and 92 GPa, respectively for granite and slate. Determine the maximum length of a surface crack that is possible without fracture.
The nominal stress-strain diagram for a specimen having an original diameter of 10 mm and a gauge length of 50 mm is shown below. Using the given nominal stress-nominal strain diagram, answer this question. The inset shows a detailed view of the curve at low strains. 400 350 300 250 Stress (MPa) 200 150 100 50 0 0.00 Stress (MPa) 350 kN 300 250 200 150 100 50 0 0.000 0.002 0.004 0.006 0.008 0.010 0.012 Strain 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 Strain 0.18 What is the maximum force that could be applied to the specimen before it plastically deforms?
The information in the photo attached shows elastic properties of a human tibula bone. If you were to take a small cuboidal cross section of the tibula bone and apply the ultimate shear stress, what would be the resulting strain? (a) 1.0 % (b) 6.7 % (c) 10 % (d) 15 % (e) None of the above.
A hot rolled steel tension test sample has a diameter of 6 mm and the original gage length of 30 mm. In a test to fracture, the stress and strain data below were obtained. Determine Generic Strain Value, %0.2 offset strain, and Calculated stress at %0.2 offset. Original diameter - 6mm Original Length - 30 mm Fracture diameter - 4.54 mm
The concrete beam shown below is made of an all-lightweight concrete with a unit weight 7=/ 800 kg/ ni a. Compute the value of the cracking moment and b. Estimate the value of the concentrated load P at midspan that causes the beam to crack (include the dead weight of the beam). f, =27.5 MPa 100 mm P=? Wbeam 2-D25 - 5 m 100 mm 100 mm 300 mm
For through thickness elliptical crack in an infinite plate, the tensile stress distribution ahead of the crack tip is accurately described by the equation o = when onom X = 1.02 a.in terms of stress intensity factor, the crack tip can be approximated as K 6= , what is the difference between stress distribution of these two equations at √6.4r a distance r=0.02 a ahead of the crack tip ?
The representative curves of the applied stress versus the number of cycles for different metals are shown in Figure Q2. Analyze both metals in terms of fatigue properties. 500 Stress amplitude (MN/m²) 400 300 200 100 0 1045 steel 10³ 104 2014-T6 aluminium 10⁹ 106 107 Number of cycles, N₂ Figure Q2: Representative curves of stress amplitude vs number of cycles 108 10⁹
Data taken from a stress-strain test for a brittle alloy are given in the table. The curve is linear between the origin and the first point. o (ksi) e (in./in.) 0 0 44.8 0.0008 54.0 0.0013 57.5 0.0017 59.5 0.0021 60.0 0.0023 Part A Determine approximately the modulus of toughness. The rupture stress is o, 30.0 ksi. Express your answer in inch-pounds per cubic inch as an integer. VAE Ivec U Submit Provide Feedback Request Answer in-lb/in³