Prob. 2.9-10. At room temperature (70°F) and with no axial load (P = 0) the extensional strain of the prismatic bar (Fig. P2.9-10) in the axial direction is zero, that is, € = 0. Subsequently, the bar is heated to 120°F and a tensile load P is applied. The material properties for the bar are: E = 10 × 10³ ksi and a = 13 x 10-6/F, and the cross-sectional area of the bar is 1.8 in². For the latter load-temperature condi- tion, the extensional strain is found to be €x = 900 × 10 6. (a) Determine the value of the axial tensile load P. (b) De- termine the normal stress and the shear stress on the oblique plane NN'. (Note: The total strain is the sum of strain asso- ciated with normal stress o (Eq. 2.14) and the strain due to change of temperature AT (Eq. 2.8).) in. P Gage measures extensional strain Ex N N' 25° P2.9-10 X

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
Prob. 2.9-10. At room temperature (70°F) and with no axial
load (P = 0) the extensional strain of the prismatic bar (Fig.
P2.9-10) in the axial direction is zero, that is, € = 0.
Subsequently, the bar is heated to 120°F and a tensile load
P is applied. The material properties for the bar are: E =
10 × 10³ ksi and a = 13 x 10-6/F, and the cross-sectional
area of the bar is 1.8 in². For the latter load-temperature condi-
tion, the extensional strain is found to be €x = 900 × 10 6.
(a) Determine the value of the axial tensile load P. (b) De-
termine the normal stress and the shear stress on the oblique
plane NN'. (Note: The total strain is the sum of strain asso-
ciated with normal stress o (Eq. 2.14) and the strain due to
change of temperature AT (Eq. 2.8).)
in.
P
Gage measures
extensional
strain Ex
N
N'
25°
P2.9-10
X
Transcribed Image Text:Prob. 2.9-10. At room temperature (70°F) and with no axial load (P = 0) the extensional strain of the prismatic bar (Fig. P2.9-10) in the axial direction is zero, that is, € = 0. Subsequently, the bar is heated to 120°F and a tensile load P is applied. The material properties for the bar are: E = 10 × 10³ ksi and a = 13 x 10-6/F, and the cross-sectional area of the bar is 1.8 in². For the latter load-temperature condi- tion, the extensional strain is found to be €x = 900 × 10 6. (a) Determine the value of the axial tensile load P. (b) De- termine the normal stress and the shear stress on the oblique plane NN'. (Note: The total strain is the sum of strain asso- ciated with normal stress o (Eq. 2.14) and the strain due to change of temperature AT (Eq. 2.8).) in. P Gage measures extensional strain Ex N N' 25° P2.9-10 X
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