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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