Thin–Walled Structures 148 (2020) 106601
Available online 25 January 2020
0263-8231/© 2020 Elsevier Ltd. All rights reserved.
Full length article
Experimental and numerical investigation of ultimate shear strength of
unstiffened slender web-tapered steel members
Mohamed Mostafa Ibrahim, Ihab Mohamed El Aghoury
*
, Sherif Abdel-Basset Ibrahim
Department of Structural Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt
A R T I C L E INFO
Keywords:
Tapered beams
Shear buckling
Slender tapered web
Unstiffened web
Ultimate shear strength
Experimental shear strength
ABSTRACT
This study investigates the ultimate shear strength of unstiffened slender web in prismatic tapered steel beams
using newly proposed buckling coeffcients raised in the preceding research conducted by the authors [1]. An
experimental program is performed using three specimens that are selected to fail in shear without any signif-
icant fexural deformations. A three dimensional numerical fnite element model is established considering both
material and geometrical non-linearities. The fnite element model is successfully calibrated to simulate the
experimental tests. New procedures are proposed to predict the ultimate shear strength which is validated
against the existing experimental results. The developed fnite element models are used to expand the validation
range of the proposed method to include the practical ranges within the relevant specifcations limits.
1. Introduction and state-of-the-art
Web tapered members are widely used in steel buildings and bridges
due to their tendency to be highly optimized under the applied straining
actions and forces. This optimization results in fully functional material
consumption but usually leads to highly slender web plates. These
highly slender unstiffened webs are more subjectable to the shear
buckling phenomenon.
Since the AASHTO [2] limits the depth to thickness ratio of web plate
without longitudinal stiffeners to the value of 150, it would save a lot of
fabrication costs to eliminate these stiffeners if not affecting the web
strength. For the shear buckling limit state of unstiffened webs, the AISC
Design Guide 25-“Frame design using web tapered members” [3] re-
quires checking the members on a section-by-section basis along its
length using the AISC specifcations for prismatic members. This pro-
cedure ignores any gain in strength resulting from the stiffness provided
by the “higher stiff zone” at the smaller plate width to the “less stiff
zone” at the larger width. The EN 1993-1-5 Eurocode 3: Design of steel
structures - Part 1–5: General rules - Plated structural elements [4] states
that rules of rectangular web panels can be applied to non-rectangular
web panels with an inclination angle (between non-parallel fanges)
not greater than 10
�
. Otherwise, panels can be assessed assuming it to be
rectangular based on the larger panel width or fnite element methods.
Historically, Basler’s model [5,6] served as the basis for the shear
buckling strength evaluation in both the AASHTO [2] and the AISC [7]
specifcations. Basler’s model recognizes the post-buckling shear
strength only for stiffened web plates and considers the elastic shear
buckling strength as the limit state for unstiffened webs. Simply sup-
ported condition is used for the fange-to-web connection. The nominal
shear strength V
n
is given by equation (1).
V
n
¼ 0:60F
y
A
w
C
v
(1)
where F
y
is the web yield stress, A
w
is the web area and C
v
is the ratio of
shear buckling stress to shear stress and is given by equation (2).
C
v
¼ 1:00 if h
,
t
w
< 1:1
ffffffffffffff
k
v
E
�
F
y
q
C
v
¼
1:1
ffffffffffffff
k
v
E
�
F
y
q
h=t
w
if 1:1
ffffffffffffff
k
v
E
�
F
y
q
< h
,
t
w
< 1:37
ffffffffffffff
k
v
E
�
F
y
q
C
v
¼
1:51k
v
E
F
y
ðh=t
w
Þ
2
if 1:1
ffffffffffffff
k
v
E
�
F
y
q
< h
,
t
w
< 1:37
ffffffffffffff
k
v
E
�
F
y
q
(2)
where h is the web depth, t
w
is web thickness, E is the modulus of
elasticity of steel and k
v
is the shear buckling coeffcient of simply
supported prismatic web given by equation (3).
* Corresponding author. Department of Structural Engineering, Ain Shams University, Egypt.
E-mail address: ihab.elaghoury@eng.asu.edu.eg (I.M. El Aghoury).
Contents lists available at ScienceDirect
Thin-Walled Structures
journal homepage: http://www.elsevier.com/locate/tws
https://doi.org/10.1016/j.tws.2020.106601
Received 29 August 2019; Received in revised form 19 November 2019; Accepted 4 January 2020