Timber beams with holes

Fracture mechanics approach

Kirsti Riipola

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)

Abstract

Timber beams with holes have been analyzed with linear elastic fracture mechanics. The energy release rate corresponding to the beginning of the crack growth is set equal to the external work done by the loading of the beam.
Further, this fracture energy is partitioned into a mode I and a mode II component. Stress intensities at the hole corner are calculated from the strain energy release rates, and the orthotropicity of the material is taken into account. If the hole is near to the support or the point load, a correction term is given for the basic solution. The equations are derived for a rectangular hole, but a circular hole can be modeled with a rectangular one.
Solutions for special cases as beam with cracks are given. The method can be extended to other load and support conditions, crack sources, and other orthotropic materials.
The analytical solution was experimentally evaluated. Wu's fracture criterion was found to be applicable for beams with known material properties. For small clear beams, the measured capacity was 0.97 times the predicted one.
For glulam beams, the measured capacity was 1.04 times the predicted one.
Original languageEnglish
Article number225
JournalJournal of Structural Engineering
Volume121
Issue number2
DOIs
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

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Energy release rate
Timber
Fracture mechanics
Cracks
Fracture energy
Strain energy
Crack propagation
Materials properties

Cite this

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title = "Timber beams with holes: Fracture mechanics approach",
abstract = "Timber beams with holes have been analyzed with linear elastic fracture mechanics. The energy release rate corresponding to the beginning of the crack growth is set equal to the external work done by the loading of the beam. Further, this fracture energy is partitioned into a mode I and a mode II component. Stress intensities at the hole corner are calculated from the strain energy release rates, and the orthotropicity of the material is taken into account. If the hole is near to the support or the point load, a correction term is given for the basic solution. The equations are derived for a rectangular hole, but a circular hole can be modeled with a rectangular one. Solutions for special cases as beam with cracks are given. The method can be extended to other load and support conditions, crack sources, and other orthotropic materials. The analytical solution was experimentally evaluated. Wu's fracture criterion was found to be applicable for beams with known material properties. For small clear beams, the measured capacity was 0.97 times the predicted one. For glulam beams, the measured capacity was 1.04 times the predicted one.",
author = "Kirsti Riipola",
year = "1995",
doi = "10.1061/(ASCE)0733-9445(1995)121:2(225)",
language = "English",
volume = "121",
journal = "Journal of Structural Engineering",
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publisher = "American Society of Civil Engineers ASCE",
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}

Timber beams with holes : Fracture mechanics approach. / Riipola, Kirsti.

In: Journal of Structural Engineering, Vol. 121, No. 2, 225, 1995.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Timber beams with holes

T2 - Fracture mechanics approach

AU - Riipola, Kirsti

PY - 1995

Y1 - 1995

N2 - Timber beams with holes have been analyzed with linear elastic fracture mechanics. The energy release rate corresponding to the beginning of the crack growth is set equal to the external work done by the loading of the beam. Further, this fracture energy is partitioned into a mode I and a mode II component. Stress intensities at the hole corner are calculated from the strain energy release rates, and the orthotropicity of the material is taken into account. If the hole is near to the support or the point load, a correction term is given for the basic solution. The equations are derived for a rectangular hole, but a circular hole can be modeled with a rectangular one. Solutions for special cases as beam with cracks are given. The method can be extended to other load and support conditions, crack sources, and other orthotropic materials. The analytical solution was experimentally evaluated. Wu's fracture criterion was found to be applicable for beams with known material properties. For small clear beams, the measured capacity was 0.97 times the predicted one. For glulam beams, the measured capacity was 1.04 times the predicted one.

AB - Timber beams with holes have been analyzed with linear elastic fracture mechanics. The energy release rate corresponding to the beginning of the crack growth is set equal to the external work done by the loading of the beam. Further, this fracture energy is partitioned into a mode I and a mode II component. Stress intensities at the hole corner are calculated from the strain energy release rates, and the orthotropicity of the material is taken into account. If the hole is near to the support or the point load, a correction term is given for the basic solution. The equations are derived for a rectangular hole, but a circular hole can be modeled with a rectangular one. Solutions for special cases as beam with cracks are given. The method can be extended to other load and support conditions, crack sources, and other orthotropic materials. The analytical solution was experimentally evaluated. Wu's fracture criterion was found to be applicable for beams with known material properties. For small clear beams, the measured capacity was 0.97 times the predicted one. For glulam beams, the measured capacity was 1.04 times the predicted one.

U2 - 10.1061/(ASCE)0733-9445(1995)121:2(225)

DO - 10.1061/(ASCE)0733-9445(1995)121:2(225)

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