Question

A wooden beam has a rectangular cross face 24cm by 15cm and 8cm.
(1) calculate the volume of the beam
(2)If the wood has a mass of 700kg than m3 find the mass of the beam

Answer 1

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Answer 2

Answer:

Step 1: Data:

Length of beam = 2m or 2000mm

load at failure = 2KN

Section dimensions = 40mm X 60mm

Step 2: Calculation of moment of inertia

I = bd3/12

= (40) (603)/12

= 7.2X105 mm4

Step 3: Calculation of bending moment about fixed end

M = WL

= (2)(2)

= 4KN-m

Step 4:

Calculation of bending stress

M /I= σ / y

Substitute for above (where y = depth /2= 60/2 = 30mm)

There fore

σ = 166.67N/mm2