|P1A,-tAB-dABP2В-dBCtBCFigure Q1 (a) Q1(а)A hollow circular post ABC as shown in Figure Q1 (a) supports a load P, = 65B5 Nacting at the top. P2 is applied around the cap plate at B. The outer diameters andthicknesses of the upper and lower parts of the post are dAB = 30 mm, tu =1A mm,dzc = 50 mm, and t3c =9 mm , respectively.A=1B=0(i)Calculate the normal stress o AR on the upper part of the post.(ii)If it is desired that the lower part of the post have the same compressive stress asthe upper part, what should be the magnitude of the load P,?(111) If Pi remains at 65B5 N and P2 is now set at 10050 N, what is the new thicknessof BC that will result in the same compressive stress in both parts?

Answer: (a) The normal stress in the upper part of the post is 9.9072 MPa. (b) The magnitude of the…

(а) A hollow circular post ABC as shown in Figure Q1 (a) supports a load P, = 65B5 N acting at the top. P2 is applied around the cap plate at B. The outer diameters and thicknesses of the upper and lower parts of the post are d AB = 30 mm, tB =1A mm, d3c = 50 mm, and t3c =9 mm , respectively. A= 1 B=0 (i) Calculate the normal stress o 43 on the upper part of the post. (ii) If it is desired that the lower part of the post have the same compressive stress as the upper part, what should be the magnitude of the load P,? (iii) If Pi remains at 65B5 N and P2 is now set at 10050 N, what is the new thickness of BC that will result in the same compressive stress in both parts?

(а) A hollow circular post ABC as shown in Figure Q1 (a) supports a load P, = 65B5 N acting at the top. P2 is applied around the cap plate at B. The outer diameters and thicknesses of the upper and lower parts of the post are d AB = 30 mm, tB =1A mm, d3c = 50 mm, and t3c =9 mm , respectively. A= 1 B=0 (i) Calculate the normal stress o 43 on the upper part of the post. (ii) If it is desired that the lower part of the post have the same compressive stress as the upper part, what should be the magnitude of the load P,? (iii) If Pi remains at 65B5 N and P2 is now set at 10050 N, what is the new thickness of BC that will result in the same compressive stress in both parts?

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 2.2.19P: Two pipe columns (AB, FC) are pin-connected to a rigid beam (BCD), as shown in the figure. Each pipe...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

|P1
A,
-tAB
-dAB
P2
В
-dBC
tBC
Figure Q1 (a)

Q1
(а)
A hollow circular post ABC as shown in Figure Q1 (a) supports a load P, = 65B5 N
acting at the top. P2 is applied around the cap plate at B. The outer diameters and
thicknesses of the upper and lower parts of the post are dAB = 30 mm, tu =1A mm,
dzc = 50 mm, and t3c =9 mm , respectively.
A=1
B=0
(i)
Calculate the normal stress o AR on the upper part of the post.
(ii)
If it is desired that the lower part of the post have the same compressive stress as
the upper part, what should be the magnitude of the load P,?
(111) If Pi remains at 65B5 N and P2 is now set at 10050 N, what is the new thickness
of BC that will result in the same compressive stress in both parts?

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