A pillar has a uniform section as indicated. It has a length 0.9 m, cross-sectional area 12.2 x 104 m² and second moment of area 1.6 x 10-6 m4. A constraint is applied at a point e = 3 mm away from the neutral axis as shown. The pillar is built-in at the other end. It is made of Aluminium with a coefficient of thermal expansion of 12 x 10-6/°C and a Young's modulus of 70x10⁹ Pa. The pillar experiences an increase of temperature of 39° C. Calculate the stress that will occur on the right-hand face of the beam due to the effect of bending and thermal effects. The distance from the neutral axis to the right- hand face is 60 mm. Give your answer as a positive value in MPa to two decimal places.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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M9
A pillar has a uniform section as indicated. It has a length
0.9 m, cross-sectional area 12.2 x 104 m² and second
moment of area 1.6 x 10-6 m4. A constraint is applied at a
point e = 3 mm away from the neutral axis as shown. The
pillar is built-in at the other end. It is made of Aluminium
with a coefficient of thermal expansion of 12 x 10-6/°C
and a Young's modulus of 70x10⁹ Pa. The pillar
experiences an increase of temperature of 39° C.
Calculate the stress that will occur on the right-hand face
of the beam due to the effect of bending and thermal
effects. The distance from the neutral axis to the right-
hand face is 60 mm.
Give your answer as a positive value in MPa to two
decimal places.
Transcribed Image Text:A pillar has a uniform section as indicated. It has a length 0.9 m, cross-sectional area 12.2 x 104 m² and second moment of area 1.6 x 10-6 m4. A constraint is applied at a point e = 3 mm away from the neutral axis as shown. The pillar is built-in at the other end. It is made of Aluminium with a coefficient of thermal expansion of 12 x 10-6/°C and a Young's modulus of 70x10⁹ Pa. The pillar experiences an increase of temperature of 39° C. Calculate the stress that will occur on the right-hand face of the beam due to the effect of bending and thermal effects. The distance from the neutral axis to the right- hand face is 60 mm. Give your answer as a positive value in MPa to two decimal places.
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Transcribed Image Text:offset e L
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