Civil Engineering Reference
In-Depth Information
TABLE E7.15
Shear Flow along the Span
Location
Distance, x ,
V r
V DL2
q r
q DL2
q max
(Figure E7.6)
From End a (in.)
(kips)
(kips)
(k/in.)
(k/in.)
(k/in.)
A
0
310
40
2.61
0.20
3.70
B
270
220
20
1.85
0.10
2.51
C
540
167
0
1.40
0
1.71
The shear flow due to dead load on the composite section is small and
ignoredinthepracticaldesignofcompositesteelandconcretegirders.Thisis
alsoevidentfromcomparisonoftheallowabledesignloadfortheshearstress
range, S r , and the allowable design load for the maximum shear stress, S m .
π ( 0.875 ) 2
4
7.0
S r =
=
4.21 kips,
π ( 0.875 ) 2
4
20.0
S m =
=
12.0 kips.
Use three shear studs across the flange width;
s is the spacing required (Table E7.16) and is equal to 3 ( 4.21 )/ q LL+I =
12.63 / q LL+I .
The actual shear stud spacing can be arranged in order that the maximum
overstress is, for example, 10%, as shown in Figure E7.7.
Design of web plate stiffeners:
Useanglesboltedtothewebinordertoprecludeissuesrelatedtowelding
at the base of transverse stiffeners. Use a single 6
×
4
×
1 / 2 angle at 67.5 in.
centers as shown in Example 7.1.
Design of bearing stiffeners: Use four 8
×
4
×
1 / 2 angles as shown in Exam-
ple 7.1.
Serviceability—deflection criteria
The required gross moment of inertia for a LL+I deflection criteria of L/f
Δ
is (see Chapter 5)
7314 ( 90 )f
M LL+I Lf
Δ
Δ
in. 4
I
340.4 f
Δ
1934
1934
The required section gross moment of inertia for various deflection
criteria, f
, is shown in Table E7.17.
Δ
TABLE E7.16
Shear Stud Spacing along the Span
Location
q r (k/in.)
s (in.)
A
2.61
4.9
B
1.85
6.8
C
1.40
9.0
 
 
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