B1 The beam shown in Figure B1 is made of aluminium alloy with a Young's modulus of 70GPa. The cross section is rectangular with a width of 5mm and depth of 20mm. The beam is simply supported over a span length (L) of 550mm and loaded with a point load of 5kN at a distance 55mm from the left hand end. 55 mm 5 kN L=550 mm TIIT Figure B1 (a) Calculate the support forces and determine an expression for determining the bending moment at every point in the beam. (b) Derive an expression to calculate the deflection of the beam at any poin between the two supports. (c) Calculate the location of maximum deflection and the value of maximum deflection itself.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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B1
The beam shown in Figure B1 is made of aluminium alloy with a Young's
modulus of 70GPa. The cross section is rectangular with a width of 5mm and
depth of 20mm. The beam is simply supported over a span length (L) of
550mm and loaded with a point load of 5kN at a distance 55mm from the left
hand end.
55 mm
5 KN
L=550 mm
Figure B1
(a) Calculate the support forces and determine an expression for
determining the bending moment at every point in the beam.
(b) Derive an expression to calculate the deflection of the beam at any point
between the two supports.
(c) Calculate the location of maximum deflection and the value of maximum
deflection itself.
Transcribed Image Text:B1 The beam shown in Figure B1 is made of aluminium alloy with a Young's modulus of 70GPa. The cross section is rectangular with a width of 5mm and depth of 20mm. The beam is simply supported over a span length (L) of 550mm and loaded with a point load of 5kN at a distance 55mm from the left hand end. 55 mm 5 KN L=550 mm Figure B1 (a) Calculate the support forces and determine an expression for determining the bending moment at every point in the beam. (b) Derive an expression to calculate the deflection of the beam at any point between the two supports. (c) Calculate the location of maximum deflection and the value of maximum deflection itself.
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