Citation: Jebara, K.; Sharma, A.;
Ožbolt, J. Design Recommendations
for Concrete Pryout Capacity of
Headed Steel Studs and
Post-Installed Anchors. CivilEng 2023,
4, 782–807. https://doi.org/10.3390/
civileng4030044
Academic Editor: Francesco
D’Annibale
Received: 27 March 2023
Revised: 20 June 2023
Accepted: 5 July 2023
Published: 10 July 2023
Copyright: © 2023 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
Article
Design Recommendations for Concrete Pryout Capacity of
Headed Steel Studs and Post-Installed Anchors
Khalil Jebara
1
, Akanshu Sharma
2,
* and Joško Ožbolt
1
1
Institute for Construction Materials, University of Stuttgart, 70569 Stuttgart, Germany;
khalil.jebara@hotmail.com (K.J.); josko.ozbolt@iwb.uni-stuttgart.de (J.O.)
2
Lyles School of Civil Engineering, Purdue University, 550 Stadium Mall Drive, West Lafayette, IN 47907, USA
* Correspondence: akanshu@purdue.edu; Tel.: +1-765-496-8368
Abstract: Current formulas to assess the shear capacity of headed steel stud anchors and post-installed
(PI) anchors in case of pryout failure (sometimes known as pull-rear failure) have been derived either
based on the indirect-tension resistance model or are fully empirical based on push-out test results. In both
cases, the predicted pryout capacity is clearly conservative and underestimates the true pryout capacity of
anchorages, especially for stiff anchors with low embedment-to-diameter ratios (h
ef
/d < 4.5). This paper
proposes an empirical and a semi-empirical formula to predict the concrete pryout capacity of headed steel
studs and PI anchors. They were derived based on an improved indirect-tension model which accounts for
the stud diameter and the stud spacing in a group of anchors. Furthermore, a database of 214 monotonic
shear tests from the literature, including own tests (push-off and horizontally shear tests), is reevaluated
and compared to the provisions of EN1992-4. The scope of this assessment proposal includes single and
group of headed steel studs and PI anchors attached to a stiff steel plate as well as shear connectors in
composite structures without metal deck embedded in normal-weight concrete.
Keywords: pryout capacity; pryout failure; anchor group; welded studs; shear load; design formula
1. Introduction
Concrete capacity design method (CCD method) [1] is currently the most frequently used
for calculating the concrete breakout capacity of anchors or a group of anchors. Current design
codes, such as EN1992-4 [2], ACI 318-19 [3], EOTA-ETAG001 [4] and fib Bulletin 58 [5], which
are based on the CCD method, treat concrete cone breakout behind a single anchor or an
anchor group under shear load in a way comparable to tension pull-out failure based on the
indirect-tension resistance model [6]. Accordingly, the characteristic concrete pryout resistance
V
Rk,cp
is calculated using the following modified mean tensile pull-out capacity equation of an
anchor group away from edge effects:
V
Rk,cp
= k
8
· N
Rk,c
(1)
N
Rk,c
= A
c, N
/ A
0
c, N
· N
0
Rk,c
(1a)
N
0
Rk,c
= k
1
· f
0.5
ck
· h
1.5
ef
(1b)
where
k
8
empirical factor indicated in the corresponding technical specifications,
N
Rk,c
characteristic concrete breakout strength of anchor group in tension,
A
c, N
/ A
0
c, N
projection area ratio of anchor group in tension,
N
0
Rk,c
characteristic concrete breakout strength of single anchor in tension away from
edge influence,
k
1
empirical factor indicated in the corresponding technical specifications for cracked
and uncracked concrete,
f
ck
characteristic cylinder compressive strength of concrete and
h
ef
effective embedment depth.
CivilEng 2023, 4, 782–807. https://doi.org/10.3390/civileng4030044 https://www.mdpi.com/journal/civileng