Stability of masonry piers and arches including sliding

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

A laterally loaded masonry pier or a masonry arch under gravity loads is investigated by considering the pier or arch composed of blocks that are infinitely rigid, infinitely strong, and that transmit no tension at the joints. The constraints against interpenetration of adjacent blocks, and against sliding when prevented by a sufficient frictional force, result in a set of kinematic constraints on the system. Although the energy input to the system is nonlinear and has multiple branches, the linear part can be written as a linear program of minimizing the potential energy plus the dissipated energy of the system subject to the kinematic constraints on the system. The system is found to be stable if a statically admissible distribution of internal forces can be found in which a nonzero compressive force is transmitted at each joint, and the tangential force nowhere exceeds the normal force times the coefficient of friction. The system is shown to be unstable under a set of loads for which the virtual work is nonpositive in a kinematically admissible displacement.

Original languageEnglish (US)
Pages (from-to)304-319
Number of pages16
JournalJournal of Engineering Mechanics - ASCE
Volume120
Issue number2
DOIs
StatePublished - 1994

Fingerprint

Piers
Arches
Kinematics
Potential energy
Nonlinear systems
Gravitation
Friction

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

@article{ab313384c7e74cf7b405296ddd12236d,
title = "Stability of masonry piers and arches including sliding",
abstract = "A laterally loaded masonry pier or a masonry arch under gravity loads is investigated by considering the pier or arch composed of blocks that are infinitely rigid, infinitely strong, and that transmit no tension at the joints. The constraints against interpenetration of adjacent blocks, and against sliding when prevented by a sufficient frictional force, result in a set of kinematic constraints on the system. Although the energy input to the system is nonlinear and has multiple branches, the linear part can be written as a linear program of minimizing the potential energy plus the dissipated energy of the system subject to the kinematic constraints on the system. The system is found to be stable if a statically admissible distribution of internal forces can be found in which a nonzero compressive force is transmitted at each joint, and the tangential force nowhere exceeds the normal force times the coefficient of friction. The system is shown to be unstable under a set of loads for which the virtual work is nonpositive in a kinematically admissible displacement.",
author = "Boothby, {Thomas E.}",
year = "1994",
doi = "10.1061/(ASCE)0733-9399(1994)120:2(304)",
language = "English (US)",
volume = "120",
pages = "304--319",
journal = "Journal of Engineering Mechanics - ASCE",
issn = "0733-9399",
publisher = "American Society of Civil Engineers (ASCE)",
number = "2",

}

Stability of masonry piers and arches including sliding. / Boothby, Thomas E.

In: Journal of Engineering Mechanics - ASCE, Vol. 120, No. 2, 1994, p. 304-319.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Stability of masonry piers and arches including sliding

AU - Boothby, Thomas E.

PY - 1994

Y1 - 1994

N2 - A laterally loaded masonry pier or a masonry arch under gravity loads is investigated by considering the pier or arch composed of blocks that are infinitely rigid, infinitely strong, and that transmit no tension at the joints. The constraints against interpenetration of adjacent blocks, and against sliding when prevented by a sufficient frictional force, result in a set of kinematic constraints on the system. Although the energy input to the system is nonlinear and has multiple branches, the linear part can be written as a linear program of minimizing the potential energy plus the dissipated energy of the system subject to the kinematic constraints on the system. The system is found to be stable if a statically admissible distribution of internal forces can be found in which a nonzero compressive force is transmitted at each joint, and the tangential force nowhere exceeds the normal force times the coefficient of friction. The system is shown to be unstable under a set of loads for which the virtual work is nonpositive in a kinematically admissible displacement.

AB - A laterally loaded masonry pier or a masonry arch under gravity loads is investigated by considering the pier or arch composed of blocks that are infinitely rigid, infinitely strong, and that transmit no tension at the joints. The constraints against interpenetration of adjacent blocks, and against sliding when prevented by a sufficient frictional force, result in a set of kinematic constraints on the system. Although the energy input to the system is nonlinear and has multiple branches, the linear part can be written as a linear program of minimizing the potential energy plus the dissipated energy of the system subject to the kinematic constraints on the system. The system is found to be stable if a statically admissible distribution of internal forces can be found in which a nonzero compressive force is transmitted at each joint, and the tangential force nowhere exceeds the normal force times the coefficient of friction. The system is shown to be unstable under a set of loads for which the virtual work is nonpositive in a kinematically admissible displacement.

UR - http://www.scopus.com/inward/record.url?scp=0028381380&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028381380&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)0733-9399(1994)120:2(304)

DO - 10.1061/(ASCE)0733-9399(1994)120:2(304)

M3 - Article

VL - 120

SP - 304

EP - 319

JO - Journal of Engineering Mechanics - ASCE

JF - Journal of Engineering Mechanics - ASCE

SN - 0733-9399

IS - 2

ER -