TY - JOUR

T1 - Relationship between probability of breakage to maximum principal stresses in window glass

AU - Morse, Stephen M.

AU - Norville, H. Scott

N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.

PY - 2010

Y1 - 2010

N2 - Currently, the ASTM design methodology to determine the load resistance of annealed window glass incorporates a probability distribution to model glass load resistance. A probability of 8 lites per 1,000 broken at the first occurrence of the design load was selected to match a load resistance consistent with a historical design factor of 2.5. The historical use of a factor relationship leads to the misconception that the design methodology follows an allowable stress procedure. The misconception has led to another common misconception among architects and engineers that a constant maximum principal stress exists, associated with the load resistance for any combination of lite thickness, aspect ratio, and surface area. This paper presents the relationship between the maximum principal stress in glass lites associated with their design loads for a probability of breakage of 8 lites per 1,000. The relationship clearly shows that the maximum principal stress is not constant for a single lite thickness for varying rectangular dimensions much less for all lite geometry combinations. A series of charts illustrates the trends in magnitude and location of the maximum principal stress as a function of lite thickness, aspect ratio, and surface area.

AB - Currently, the ASTM design methodology to determine the load resistance of annealed window glass incorporates a probability distribution to model glass load resistance. A probability of 8 lites per 1,000 broken at the first occurrence of the design load was selected to match a load resistance consistent with a historical design factor of 2.5. The historical use of a factor relationship leads to the misconception that the design methodology follows an allowable stress procedure. The misconception has led to another common misconception among architects and engineers that a constant maximum principal stress exists, associated with the load resistance for any combination of lite thickness, aspect ratio, and surface area. This paper presents the relationship between the maximum principal stress in glass lites associated with their design loads for a probability of breakage of 8 lites per 1,000. The relationship clearly shows that the maximum principal stress is not constant for a single lite thickness for varying rectangular dimensions much less for all lite geometry combinations. A series of charts illustrates the trends in magnitude and location of the maximum principal stress as a function of lite thickness, aspect ratio, and surface area.

KW - Allowable stress design

KW - Design standards

KW - Finite difference method

KW - Finite element method

KW - Glass

KW - Lateral pressure

KW - Stress

KW - Wind pressure

KW - Window glass

UR - http://www.scopus.com/inward/record.url?scp=77349101507&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)1076-0431(2010)16:1(20)

DO - 10.1061/(ASCE)1076-0431(2010)16:1(20)

M3 - Article

AN - SCOPUS:77349101507

VL - 16

SP - 20

EP - 28

JO - Journal of Architectural Engineering

JF - Journal of Architectural Engineering

SN - 1076-0431

IS - 1

ER -