Situation 4: A non-prismatic beam is loaded as shown in the Figure. The value of P is 120kN. P 1.50 m B 21 1.50 m 21 1.50 m D I 1.50 m 10. Which of the following most nearly gives the value of the constant term in the deflection equation for segment BD?

Situation 4: A non-prismatic beam is loaded as shown in the Figure. The value of P is 120kN. P 1.50 m B 21 1.50 m 21 1.50 m D I 1.50 m 10. Which of the following most nearly gives the value of the constant term in the deflection equation for segment BD?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

• Double Integration Method Applied on Determinate Non-Prismatic Beams
Situation 4: A non-prismatic beam is loaded as shown in the Figure. The value of P is 120kN.
P
1.50 m
B
a. -371.25
b. 33.75
21
1.50 m
21
1.50 m
D
1.50 m
E
10. Which of the following most nearly gives the value of the constant term in the deflection
equation for segment BD?
c. 371.25
d. -33.75
11. Which of the following most nearly gives the deflection at B?
a. 303.75/EI
c. 219.38/EI
b. 291.38/EI
d. 330.75/EI
12. Which of the following most nearly gives the deflection at C?
a. 291.38/EI
c. 303.75/EI
b. 219.38/EI
d. 330.75/EI

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Step 1: Introduce the problem statement

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Step 2: Formulate Macaulay's equation for span AB

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Step 3: Formulate Macaulay's equation for span BC

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Step 4: Constant for deflection for section BD

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Step 5: Compute deflection at B

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Step 6: Compute deflection at C

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