Abstract

Resistance factors (ϕ-factors) are reliability-based factors of safety used in load and resistance factor design (LRFD) of structural systems. The ϕ-factors specified in the consensus standard for the structural design of pultruded fiber-reinforced polymer (FRP) structural members and connections are generally lower than the ϕ-factors used for more conventional materials (e.g., structural steel, reinforced concrete, and wood) for comparable limit states, consequently potentially limiting the application of pultruded FRP as a structural material. This work describes a review of 350 published experimental tests of bolted connections in pultruded FRP and compares these test results with the nominal strengths from equations in the consensus standard. Subsequently, a first-order reliability method analysis—following the methodology proposed by Ellingwood for pultruded FRP composites—was performed to re-examine ϕ-factors for the most common limit states of bolted connections in pultruded FRP. All relevant limit states for bearing-type connections as defined by the consensus standard were considered in the study and the derived ϕ-factors were compared with the ϕ-factors prescribed in the consensus standard with the goal of highlighting the need for additional research.

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Data Availability Statement

All data, models, and codes generated or used during the study are available upon reasonable request from the authors and at the following DOIs: 10.7274/nc580k25p40; 10.17605/OSF.IO/KBG6X.

Notation

The following symbols are used in this paper:
Ans
net area subjected to shear;
Ant
net area subjected to tension;
CC
correlation coefficient;
CCH
chemical environment factor;
Ci
correlation coefficient for net tension strength of bolted connection;
CM
moisture adjustment factor for sustained in-service exposure condition;
CP
correction factor;
CT
temperature factor for sustained in-service temperatures;
CΔ
geometry factor for pitch spacing;
Cϕ
calibration coefficient;
d
nominal bolt diameter;
dn
nominal hole diameter;
e1
end distance;
e1,min
minimum end distance;
e2
edge distance;
e2,min
minimum edge distance;
Fθbr
characteristic pin-bearing strength at the angle θ;
FL,mbr
average longitudinal pin-bearing strength;
FT,mbr
average transverse pin-bearing strength;
Fm
mean fabrication factor;
Fit
characteristic tensile strength at the angle θ;
FL,mt
average longitudinal tensile strength;
FT,mt
average transverse tensile strength;
Fsh
characteristic in-plane shear strength;
Fsh,m
average in-plane shear strength;
g
Gage (i.e., the bolt spacing across a row);
Knt,i
stress concentration factor at the angle θ;
Mm
mean material factor;
m
number of rows;
ms
degree of freedom;
N
sample size;
n
number of bolts across the effective width;
Pm
mean professional factor;
Pm,i
professional factor of the sample i;
Rbr
pin-bearing strength;
Rbs
block shear strength;
Rcl
cleavage strength;
Rn
nominal strength per the predictive analysis model;
Rnt
net tension splitting strength for one row of bolts;
Rnt,f
net tension splitting strength of the first row of bolts for multiple rows of bolts;
Rn,i
calculated nominal strength of the sample i per the predictive analysis model;
Rsh
shear out strength;
Rt
tested strength;
Rt,i
tested strength of the sample i;
s
pitch spacing (i.e., the bolt spacing between rows);
sc
standard deviation of the mean professional factor;
t
thickness of the specimen;
VF
coefficient of variation of the fabrication factor;
VM
coefficient of variation of the material factor;
VP
coefficient of variation of the professional factor;
VQ
coefficient of variation of load effect;
w
effective width;
Z
safety margin
β
reliability index;
ζ
factor in pin-bearing strength that is equal to 1.0 if thread is excluded, otherwise equal to 0.6;
θ
angle between the direction of the connection force and the direction of pultrusion;
λ
time effect factor; and
ϕ-factor
resistance factor.

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Go to Journal of Composites for Construction
Journal of Composites for Construction
Volume 28Issue 2April 2024

History

Received: Aug 5, 2022
Accepted: Oct 2, 2023
Published online: Jan 11, 2024
Published in print: Apr 1, 2024
Discussion open until: Jun 11, 2024

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Authors

Affiliations

Dept. of Civil and Environmental Engineering and Earth Sciences, Univ. of Notre Dame, 156 Fitzpatrick Hall of Engineering, Notre Dame, IN 46556; Project Engineer, Frost Engineering & Consulting, 201 Lincolnway W, Mishawaka, IN 46544 (corresponding author). ORCID: https://orcid.org/0000-0001-6405-6394. Email: [email protected]
Jake A. Althouse, P.E.
Project Manager, Frost Engineering & Consulting, 201 Lincolnway W, Mishawaka, IN 46544.
Troy A. Madlem, P.E.
President, Frost Engineering & Consulting, 201 Lincolnway W, Mishawaka, IN 46544.
Mark D. Denavit, Ph.D., P.E., M.ASCE https://orcid.org/0000-0002-2124-5002
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Tennessee, 325 John D. Tickle Engineering Building, 851 Neyland Dr., Knoxville, TN 37996. ORCID: https://orcid.org/0000-0002-2124-5002.
Francisco J. De Caso y Basalo, Ph.D., M.ASCE https://orcid.org/0000-0001-5585-7819
Principal Scientist, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Miami, McArthur Engineering Building, 1251 Memorial Dr. McArthur, Coral Gables, FL 33146. ORCID: https://orcid.org/0000-0001-5585-7819.
John P. Busel, A.M.ASCE
Vice President, Composites Growth Initiative, American Composites Manufacturers Association, 2000 15th St. N UNIT 250, Arlington, VA 22201.
Yahya C. Kurama, Ph.D., P.E.
Professor, Dept. of Civil and Environmental Engineering and Earth Sciences, Univ. of Notre Dame, 156 Fitzpatrick Hall of Engineering, Notre Dame, IN 46556.
Kevin Q. Walsh, Ph.D., P.E., S.E. https://orcid.org/0000-0003-2082-3613
Associate Teaching Professor, Dept. of Civil and Environmental Engineering and Earth Sciences, Univ. of Notre Dame, 156 Fitzpatrick Hall of Engineering, Notre Dame, IN 46556; Principal, Frost Engineering & Consulting, 201 Lincolnway W, Mishawaka, IN 46544. ORCID: https://orcid.org/0000-0003-2082-3613.

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