A rigid beam AB is hinged at A and is connected to an aluminium alloy bar BC at the other end. The beam is also supported on a steel post DE through a rigid bearing at D, as shown is figure. At no load condition, the beam is horizontal and there is an initial clearance 8 = 0.1 mm between the beam and rigid bearing. Determine the maximum permissible load W which may be applied at B if the axial stresses are not to exceed 120 N/mm² for steel and 140 N/mm² for the aluminium alloy. All the connections may be treated as smooth pins. Take E = 2 x 105 N/mm² for steel and E=0.8 x 105 N/mm² for aluminium alloy.
A rigid beam AB is hinged at A and is connected to an aluminium alloy bar BC at the other end. The beam is also supported on a steel post DE through a rigid bearing at D, as shown is figure. At no load condition, the beam is horizontal and there is an initial clearance 8 = 0.1 mm between the beam and rigid bearing. Determine the maximum permissible load W which may be applied at B if the axial stresses are not to exceed 120 N/mm² for steel and 140 N/mm² for the aluminium alloy. All the connections may be treated as smooth pins. Take E = 2 x 105 N/mm² for steel and E=0.8 x 105 N/mm² for aluminium alloy.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A rigid beam AB is hinged at A and is connected to an aluminium alloy bar BC at the
other end. The beam is also supported on a steel post DE through a rigid bearing at D, as
shown is figure. At no load condition, the beam is horizontal and there is an initial
clearance 8 = 0.1 mm between the beam and rigid bearing. Determine the maximum
permissible load W which may be applied at B if the axial stresses are not to exceed
120 N/mm² for steel and 140 N/mm² for the aluminium alloy. All the connections may
be treated as smooth pins. Take E = 2 × 105 N/mm² for steel and E=0.8 x 105 N/mm² for
aluminium alloy.
A
0.2 m
0.1 m
D
Rigid beam
8- 0.1 mm
Steel post (1500 mm²)
E
0.3 m
W
C
B
Aluminium
alloy bar
(800 mm²)
0.4 m
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