Consider the following beam with overhangs: P A В C L Calculate the deflection at A (the end opposite of the load) and at D (under the load). Assume that both deflections are downward. The answers will be of the form PL X-EI You must provide the value of X. For example, if the answer is 0, enter "200" in the Canvas quiz. PL Here are a few hints. You'll have to break up the integral over three segments (A to B, B to C, and C to D). On several spans, one of the moment diagrams will be zero. Remember that the definite integral of zero is equal to zero, i.e., f" Oda = 0. All the remaining integrals should involve triangles with integration factors of 1/3 and 1/6. 1 Determine X for the deflection at D. Type your answer. Determine X for the deflection at A. Type your answer.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question

Structural mechanics 

Consider the following beam with overhangs:
P
A
В
D
L
L
L
Calculate the deflection at A (the end opposite of the load) and at D (under the load). Assume that both deflections are downward. The answers will be of the form
PL3
Χ.ΕΙ
You must provide the value of X. For example, if the answer is 00, enter "200" in the Canvas quiz.
200-EI
Here are a few hints. You'll have to break up the integral over three segments (A to B, B to C, and C to D). On several spans, one of the moment diagrams will be zero. Remember
that the definite integral of zero is equal to zero, i.e., Odx = 0. All the remaining integrals should involve triangles with integration factors of 1/3 and 1/6.
a
1
Determine X for the deflection at D.
Type your answer.
Determine X for the deflection at A.
Type your answer...
Transcribed Image Text:Consider the following beam with overhangs: P A В D L L L Calculate the deflection at A (the end opposite of the load) and at D (under the load). Assume that both deflections are downward. The answers will be of the form PL3 Χ.ΕΙ You must provide the value of X. For example, if the answer is 00, enter "200" in the Canvas quiz. 200-EI Here are a few hints. You'll have to break up the integral over three segments (A to B, B to C, and C to D). On several spans, one of the moment diagrams will be zero. Remember that the definite integral of zero is equal to zero, i.e., Odx = 0. All the remaining integrals should involve triangles with integration factors of 1/3 and 1/6. a 1 Determine X for the deflection at D. Type your answer. Determine X for the deflection at A. Type your answer...
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Pressure and stress
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.
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