TAB -dAB P2 -dec -IBC econd load P₂ is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the post are dAB= 1.50 in., AB = 0.5 in., dac = 2.50 in., and tac= 0.385 in., respectively Calculate the normal stress AB (in psi) in the upper part of the post. (Include the sign of the value in your answer. Round your answer to at least three significant figures.) psi If you want the lower part of the post to have the same compressive stress as the upper part, what should be the required magnitude of load P₂ (in lb)? lb If P₁ remains at 1,700 lb and P₂ is set at 2,160 lb, what new thickness of BC (in inches) will result in the same compressive stress in both parts? in.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Please answer a to c with complete and legible solutions. Thank you

A hollow circular post ABC (see figure) supports a load P₁ = 1,700 lb acting at the top.
TAB
-dAB
B
-dBc
- IBC
A second load P₂ is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the post are d'AB= 1.50 in., AB = 0.5 in., dec = 2.50 in., and tgc = 0.385 in., respectively.
(a) Calculate the normal stress AB (in psi) in the upper part of the post. (Include the sign of the value in your answer. Round your answer to at least three significant figures.)
psi
(b) If you want the lower part of the post to have the same compressive stress as the upper part, what should be the required magnitude of load P₂ (in lb)?
lb
(c) If P₁ remains at 1,700 lb and P₂ is set at 2,160 lb, what new thickness of BC (in inches) will result in the same compressive stress in both parts?
in.
P₂
Transcribed Image Text:A hollow circular post ABC (see figure) supports a load P₁ = 1,700 lb acting at the top. TAB -dAB B -dBc - IBC A second load P₂ is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the post are d'AB= 1.50 in., AB = 0.5 in., dec = 2.50 in., and tgc = 0.385 in., respectively. (a) Calculate the normal stress AB (in psi) in the upper part of the post. (Include the sign of the value in your answer. Round your answer to at least three significant figures.) psi (b) If you want the lower part of the post to have the same compressive stress as the upper part, what should be the required magnitude of load P₂ (in lb)? lb (c) If P₁ remains at 1,700 lb and P₂ is set at 2,160 lb, what new thickness of BC (in inches) will result in the same compressive stress in both parts? in. P₂
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