40609 Load Supplements

Design Equation
Case
Load Configuration
Moments (kips-ft) and
shears (kips)
Loading and limitations
(x and l in feet)
A
x
32 32
8
⎡ ⎞ ⎤
⎢ ⎜
⎛ x 42
M ( x)
= Px 4.5 1 − ⎟ − ⎥
⎣ ⎝ l ⎠ l ⎦
⎡ ⎞ ⎤
⎢ ⎜
⎛ x 42
V ( x)
= P 4.5 1 − ⎟ − ⎥
⎣ ⎝ l ⎠ l ⎦
Truck loading
P = 16 kips
M A ≥ M B for:
l > 28
x ≤ l/3
x + 28 ≤ l
V A > V B for any x
B
8
x
32 32
⎡ ⎞ ⎤
⎢ ⎜
⎛ x 21 7
M ( x)
= Px 4.5 1 − ⎟ − − ⎥
⎣ ⎝ l ⎠ l x⎦
⎡ x 21⎤
V ( x)
= P⎢4
− 4.5 − ⎥
⎣ l l ⎦
Truck loading
P = 16 kips
M B ≥ M A for:
l > 28
x > l/3
14 ≤ x ≤ l/2
C
x
25 25
⎛ x
M ( x)
= 50x⎜1−
⎝ l
⎛ x
V ( x)
= 50⎜1
−
⎝ l
−
−
2 ⎞
⎟
l ⎠
2 ⎞
⎟
l ⎠
Tandem loading
is more severe than truck
loading for l ≤ 37 ft
D
0.64 k/ft
x
( l − x)
M ( x)
= 0.64x
2
⎛ l ⎞
V ( x)
= 0.64⎜
− x⎟
⎝ 2 ⎠
Lane loading

Bending Moment in Simple Span for AASHTO HL-93 Loading for a fully loaded lane
Moment in kips-ft
IM is included
1 ft = 0.3048 m
1 kips = 4.448 kN
1 kips-ft = 1.356 kN-m

Shear in Simple Span for AASHTO HL-93 Loading for a fully loaded lane
Shear in kips
IM is included
1 ft = 0.3048 m
1 kips = 4.448 kN

Design Chart for Negative Moment due to Live Load Combination 3 at Interior Support of Continuous Beams with Equal Spans
For one lane loading
IM is included