Consider the beam shown in (Figure 1). EI is constant. UseCastigliano's theorem.Figure1 of 1> Part ADetermine the displacement of point C measured downward.Express your answer in terms of some or all of the variables P, L, E, and I. Enter positive value if the displacement is downward and negativevalue if the displacement is upward.VO AEO It vec +?Ac =SubmitRegueat AnswerPart BDetermine the slope at point B measured counterclockwise from the positive z axis.Express your answer in terms of some or all of the variables P, L, E, and I.?AE¢ 1 vecOn=SubmitRequest Answer

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Engineering

Civil Engineering

Consider the beam shown in (Figure 1). EI is constant. Use Castigliano's theorem. Figure < 1 of 1 C 2 2

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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

Consider the beam shown in (Figure 1). EI is constant. Use
Castigliano's theorem.
Figure
1 of 1>

Part A
Determine the displacement of point C measured downward.
Express your answer in terms of some or all of the variables P, L, E, and I. Enter positive value if the displacement is downward and negative
value if the displacement is upward.
VO AEO It vec +
?
Ac =
Submit
Regueat Answer
Part B
Determine the slope at point B measured counterclockwise from the positive z axis.
Express your answer in terms of some or all of the variables P, L, E, and I.
?
AE¢ 1 vec
On=
Submit
Request Answer

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Solve using Castigliano's Theorem
A) determine the value of constant of integration C1 and C2 in lb-ft^2. B) determine the slope at point B. C) determine the defelction at point B in inches.
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None
For the beam shown, obtain: A). Applying the double integration method, the rotation in the left support (A), and the deflection in (C). B). Applying the moment of area method, the rotation in (D), and the maximum deflection between supports A and B. C). Applying the conjugate beam method, the rotation in (B), and the deflection in (D). Use the following Values: a = 1.75 m, q = 2.25 kN/m. E = 200 Gpa, |= 200 x10^6 mm^4 Note: Please provide the deflection results in mm and rotation in degrees. 90² qa A B D C а