Estimate the load in the hooks and chains supporting the light fixture. Density values Pine : 420 kg/m^3 Steel: 7850 kg/m^3 The pine beam is a 42 in. long 6 by 8 (5.5 in. by 7.5 in.). Use data from (Links to an external site.) the Engineering ToolBox website for the density of wood and steel.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Part 2
Estimate the load in the hooks and chains supporting
the light fixture.
Density values
Pine :
420 kg/m^3
Steel:
7850 kg/m^3
The pine beam is a 42 in. long 6 by 8 (5.5 in. by 7.5 in.).
Use data from (Links to an external site.) the
Engineering ToolBox website for the density of wood
and steel.
Transcribed Image Text:Part 2 Estimate the load in the hooks and chains supporting the light fixture. Density values Pine : 420 kg/m^3 Steel: 7850 kg/m^3 The pine beam is a 42 in. long 6 by 8 (5.5 in. by 7.5 in.). Use data from (Links to an external site.) the Engineering ToolBox website for the density of wood and steel.
Expert Solution
Step 1: Assumptions

Given data:

Density of Pine = 420 kg/m= (420/16.018) = 26.22 lb/ft3

Density of Steel = 7850 kg/m= (7850/16.018) = 490.07 lb/ft3

Assumptions:

  • The given hooks and the chains supporting the fight fixture are considered as a simply supported beam with point loads.
  • Hanging ropes are of negligible weight. (considered as wires)
  • The assumed values of chains and hooks are given below.
    • Diameter of chain = 0.13 in = 0.010833 ft
    • Length of chain = 1 ft
    • The standard weight of a light bulb = 0.075 lbs


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