The pin-connected structure consists of a rigid bar ABC, a steel bar (1), and a steel rod (2). The cross-sectional area of bar (1) is 1 in.² and the diameter of rod (2) is 0.63 in. Assume E = 30300 ksi and a = 7x 10-6/°F for both axial members. The bars are unstressed when the structure is assembled at 95°F. After application of a concentrated force of P = 39 kips, the temperature is decreased to 33°F Assume L₁=48 in., L₂=65 in., a-10 in., b=26 in., and c=15 in. Determine: (a) the normal stresses 6₁, 6₂ in bar (1) and rod (2) (tensile is positive, compressive is negative). (b) the normal strains €₁, 2 in bar (1) and rod (2) (positive if stretched, negative if shortened). (c) the vertical deflection vc of the rigid bar at C (positive if downward, negative if upward). (1) 4₁ B b с L₂

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus...
icon
Related questions
icon
Concept explainers
Question
The pin-connected structure consists of a rigid bar ABC, a steel bar (1), and a steel rod (2). The cross-sectional area of bar (1) is 1 in.²
and the diameter of rod (2) is 0.63 in. Assume E = 30300 ksi and a = 7 x 10-6/°F for both axial members. The bars are unstressed
when the structure is assembled at 95°F. After application of a concentrated force of P = 39 kips, the temperature is decreased to 33°F.
Assume L₁=48 in., L₂=65 in., a-10 in., b=26 in., and c=15 in. Determine:
(a) the normal stresses 01, ₂ in bar (1) and rod (2) (tensile is positive, compressive is negative).
(b) the normal strains 1, 2 in bar (1) and rod (2) (positive if stretched, negative if shortened).
(c) the vertical deflection vc of the rigid bar at C (positive if downward, negative if upward).
Answers:
(a) 0₁:
(b) ₁ =
(c) vc=
(1)
=
L₁
i
i
e Textbook and Media
Save for Later
C
b
(2)
ksi, 0₂
με, €2 =
in.
=
i
i
L2
ksi.
με
Attempts: 0 of 5 used Submit Answer
Transcribed Image Text:The pin-connected structure consists of a rigid bar ABC, a steel bar (1), and a steel rod (2). The cross-sectional area of bar (1) is 1 in.² and the diameter of rod (2) is 0.63 in. Assume E = 30300 ksi and a = 7 x 10-6/°F for both axial members. The bars are unstressed when the structure is assembled at 95°F. After application of a concentrated force of P = 39 kips, the temperature is decreased to 33°F. Assume L₁=48 in., L₂=65 in., a-10 in., b=26 in., and c=15 in. Determine: (a) the normal stresses 01, ₂ in bar (1) and rod (2) (tensile is positive, compressive is negative). (b) the normal strains 1, 2 in bar (1) and rod (2) (positive if stretched, negative if shortened). (c) the vertical deflection vc of the rigid bar at C (positive if downward, negative if upward). Answers: (a) 0₁: (b) ₁ = (c) vc= (1) = L₁ i i e Textbook and Media Save for Later C b (2) ksi, 0₂ με, €2 = in. = i i L2 ksi. με Attempts: 0 of 5 used Submit Answer
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 26 images

Blurred answer
Knowledge Booster
Combined Loading
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning