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Assignment 1

The document is an assignment for a second-year course on the Theory of Structures at Kwame Nkrumah University of Science and Technology. It includes two questions requiring calculations related to deflections and rotations of beams using specific methods. The first question involves a prismatic beam with given lengths and loads, while the second question addresses a simply supported beam with piecewise constant flexural rigidity.

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Kwasi Bempong
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43 views1 page

Assignment 1

The document is an assignment for a second-year course on the Theory of Structures at Kwame Nkrumah University of Science and Technology. It includes two questions requiring calculations related to deflections and rotations of beams using specific methods. The first question involves a prismatic beam with given lengths and loads, while the second question addresses a simply supported beam with piecewise constant flexural rigidity.

Uploaded by

Kwasi Bempong
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY, KUMASI

INSTITUTE OF DISTANT LEARNING


Second Year

CE 255 : THEORY OF STRUCTURES

Assignment 1

Q.1 A prismatic beam (AC) of length 6m is simply supported over a span (AB) L1
= 4m and has an overhang (BC) of length L2 = 2m. The beam is loaded as
shown below (Fig. Q1). Use the moment-area method to calculate:

a). the vertical deflection, Δ, at the free end C

b). the rotation, β, at the support B

10kN/m
A B C

4.0 2.0

Fig. Q1

c). compute the product β * L2 and explain what physical quantity is


expressed by this product.

Q.2 A simply supported beam with piecewise constant flexural rigidity is


loaded as shown below. Using the conjugate beam method, calculate the
deflections and rotations at all the nodes.

30kN 50kN

1 I 2 3I 3 2I 4

2m 4m 3m

J.W. Ampofo

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