Week 4 Challenge

1. Section classification problem for listed beam shapes

Calculate section classification of following beam shapes

• ISMB 500
• ISMC 200
• PG 1300 x 450 x 50 x 12

• Double angle (Back to back) – 2 x ISA 75x75x6
• RHS - 150 x 100 x10
• Builtup box – 1000 x 450 x 20 x 12

2. Effective length problems

Calculate effective length of following Top chord beams (double angle) having length L₁, L₂, Vertical member (single angle) having length L₃ and inclined member (single angle) having length L₄^.

Calculate effective length of rafter madeup of Builtup I section about major (x-x) and minor axis (y-y) having purlin spaced at 1.2 m.

3. Deflection of a beam problem

• Calculate deflection at the centre of the beam shown below. EI = 20 x 10⁶ Nm²

• Calculate deflection at the centre of the beam shown below. EI = 25 x 10⁶ Nm²

• A simply supported beam is 10 m long with udl of 10 kN/m Calculate the Flexural stiffness (EI) of the beam which limits the deflection to 5 mm at the middle.

5. Purlin design problem

Design channel purlin, considering sag rod at mid span for the roof truss having following data