60 kN
100 kN
130 kN
Q.1 Determine the magnitude, sense, and direction
of the resultant of the concurrent force system below
5
12
3
4
60
0
A
25 kN
25 kN
19 kN
10 kN
2 m
2 m
2 m
3 m
Q2. Calculate the net moment about point A due to the
forces shown below
1.
Types of Supports
2.
Types of Beams
3.
Calculate Reactions
4.
Draw/sketch Shear Force
Diagram(SFD)
5.
Draw/sketch Bending Moment
Diagram(BMD)
Beam is the most common structural member
and carries transverse load
They are sometimes referred by other names,
indicative of some specialized function such
as girder (penopang),stringer, purlins or
joists.
The concepts of shear and bending in
statically determinate beam only.
1) Load
Deflection is directly proportional to the load
2) Span
Deflection is proportional to the cube of the
span
3) Size and shape of beam
The greater the size of beam, the less the
deflection.
Deflection is inversely proportional to the
moment of inertia
4) Stiffness of material
The stiffer the material, the greater its
resistance to bending, the less will be the
deflection.
Table 11.1 Values of coefficient c for
deflection formula δ=cWl
3
/EI
A 406 x 178 UB 54 is simply supported at the
ends of a span of 5 m carries a uniformly
distributed load of 60 kN/m. Calculate the
maximum deflection given E = 205 000
N/mm
2
From Table 11.1
δ = 5Wl
3
/384 EI
where W = 60 x 5 = 300
kN
= 3 x 10
5
N
l = 5000 mm
E = 205 000 N/mm
2
I = 164.6 x 10
6
mm
4
δ = (5/384) x {(300 000 x 125 x 10
9
)/ (205
000 x 164.6 x 10
6
)}
= 14 mm
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