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
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Members with compression and bending
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning