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

A25 kN

25 kN19 kN

10 kN2 m

2 m

2 m 3 m

Q2. Calculate the net moment about point A due to the forces shown below

1. Types of Supports2. Types of Beams3. Calculate Reactions4. 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=cWl3/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/mm2

From Table 11.1δ = 5Wl3/384 EI where W = 60 x 5 = 300 kN

= 3 x 105 Nl = 5000 mmE = 205 000 N/mm2

I = 164.6 x 106 mm4 

δ = (5/384) x {(300 000 x 125 x 109)/ (205 000 x 164.6 x 106)}

= 14 mm