A cast-iron beam 12 m long is supported on top of two supports positioned at distances "a" and "b" from the ends. The beam camies a unifomly distributed load "w" N/m (including its own weight). The allowable stresses are 25 MN/m^2 for bending in tension and 90 MN/m^2 for bending in compression. The inverted T- beam section has a moment of inertia of 36x10^6 mm^4 with its neutral axis 180 mm from the top and 50 from the bottom of the section. a) Determine the positive moment capacity. b) Determine the negative moment capacity. c) If a = 1m and b = 1.6 m, find the safe value ofw?

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A cast-iron beam 12 m long is supported on top of two supports positioned at distances "a" and "b" from
the ends. The beam carries a unifomly distributed load "w" N/m (including its own weight). The allowable
stresses are 25 MN/m^2 for bending in tension and 90 MN/m^2 for bending in compression. The inverted T-
beam section has a moment of inertia of 36x10^6 mm^4 with its neutral axis 180 mm from the top and 50 from
the bottom of the section.
a) Determine the positive moment capacity.
b) Determine the negative moment capacity.
c) If a = 1m and b = 1.6 m, find the safe value of w?
Transcribed Image Text:A cast-iron beam 12 m long is supported on top of two supports positioned at distances "a" and "b" from the ends. The beam carries a unifomly distributed load "w" N/m (including its own weight). The allowable stresses are 25 MN/m^2 for bending in tension and 90 MN/m^2 for bending in compression. The inverted T- beam section has a moment of inertia of 36x10^6 mm^4 with its neutral axis 180 mm from the top and 50 from the bottom of the section. a) Determine the positive moment capacity. b) Determine the negative moment capacity. c) If a = 1m and b = 1.6 m, find the safe value of w?
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