ARMY TM 5-5420-212-10-1
MARINE CORPS TM 08676A-10/1-1
EXAMPLE
SINGLE STORY GIRDER
DEAD WEIGHT = 0.91 kN/m (0.028 ton/ft)
(1)
From Table 3-1 item 1:
Maximum allowable SHEAR for a single story girder is 189 kN. This occurs at RA.
Maximum allowable MOMENT for a single story girder is 677 kNm. This occurs at C.
Steps (2) and (3) below will find Wusing these two values, and the smallest calculated value for W will
be the maximum allowable load.
(2)
To find W using the SHEAR value:
The maximum shear (189 kN) occurs at RA:
Taking moments about RB
RA x 18= Wx 12 + (18x 0.91) x9
RA = 12/18W+ [(18 x 0.91) x 9]/18
RA = 2/3W + 8.19
from above RA = 189
Therefore:
2/3W+ 8.19 = 189
Therefore:
W= 271 kN (27.24 tons f)
(3)
To find W using the MOMENT value:
The maximum bending moment (677 kNm) occurs at C.
Taking moments about C:
RA x 6 - (0.91 x 6) x 3 = 677
from step (2) RA = 2/3W + 8.19
Therefore:
(2/3W+ 8.19)x 6 - (0.91 x 6) x 3 = 677
4W + 49.14- 16.38 = 677
Therefore:
W= 161 kN (16 tons f)
(4)
Therefore the maximum load (W) that can be imposed on the single story girder in the position shown,
and not exceed the maximum allowable shear (step 2) or the maximum bending moment (step 3), is
161 kN (16 tons f)
3-3