4.1. Consider the truss element shown in Fig. P4.1. The x-,y-coordinates of the two nodes are indicated in the figure. If q [1.5, 1.0, 2.1,4.3]T x 10-2 in., determine the following: (a) the vector q', (b) the stress in the element, (c) the k matrix, and (d) the strain energy in the element. E = 30 x 10° psi A = 2.1 in.? 2 (50.0, 40.0) L. Y 1 (10.0, 10.0) FIGURE P4.1
4.1. Consider the truss element shown in Fig. P4.1. The x-,y-coordinates of the two nodes are indicated in the figure. If q [1.5, 1.0, 2.1,4.3]T x 10-2 in., determine the following: (a) the vector q', (b) the stress in the element, (c) the k matrix, and (d) the strain energy in the element. E = 30 x 10° psi A = 2.1 in.? 2 (50.0, 40.0) L. Y 1 (10.0, 10.0) FIGURE P4.1
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![PROBLEMS
4.1. Consider the truss element shown in Fig. P4.1. The x-, y-coordinates of the two nodes are
indicated in the figure. If q = [1.5, 1.0, 2.1,4.3]T x 10-2 in., determine the following:
(a) the vector q',
(b) the stress in the element,
(c) the k matrix, and
(d) the strain energy in the element.
E = 30 x 10° psi
A = 2.1 in.?
2 (50.0, 40.0)
Y
1 (10.0, 10.0)
FIGURE P4.1
4.2. A truss element, with local node numbers 1 and 2, is shown in Fig. P4.2.
(a) What are the direction cosines e and m.
(b) Show the x'-axis, q1,42,93,94,9i, q2 on the figure.
(c) If q = [0.,0.01, -0.025, -0.05]", determine q', q2.
(2, 14)
(5,8)
FIGURE P4.2
4.3. For the pin-jointed configuration shown in Fig. P4.3, determine the stiffness values
KI, K12, and K22 of the global stiffness matrix.
1000 mm?
Qu-1
500 mm
1250 mm2
E = 200 GPa
-750 mm-
FIGURE P4.3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe3dd7bb-043d-42c5-aac9-ed38f0005661%2F8f02eac0-2b26-4ce5-8131-836580abf2ec%2Fenihwyq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEMS
4.1. Consider the truss element shown in Fig. P4.1. The x-, y-coordinates of the two nodes are
indicated in the figure. If q = [1.5, 1.0, 2.1,4.3]T x 10-2 in., determine the following:
(a) the vector q',
(b) the stress in the element,
(c) the k matrix, and
(d) the strain energy in the element.
E = 30 x 10° psi
A = 2.1 in.?
2 (50.0, 40.0)
Y
1 (10.0, 10.0)
FIGURE P4.1
4.2. A truss element, with local node numbers 1 and 2, is shown in Fig. P4.2.
(a) What are the direction cosines e and m.
(b) Show the x'-axis, q1,42,93,94,9i, q2 on the figure.
(c) If q = [0.,0.01, -0.025, -0.05]", determine q', q2.
(2, 14)
(5,8)
FIGURE P4.2
4.3. For the pin-jointed configuration shown in Fig. P4.3, determine the stiffness values
KI, K12, and K22 of the global stiffness matrix.
1000 mm?
Qu-1
500 mm
1250 mm2
E = 200 GPa
-750 mm-
FIGURE P4.3
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
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 (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning