At an axial load of 25 kN, a 45-mm-wide by 15-mm-thick polyimide polymer bar elongates 3.1 mm while the bar width contracts 0.18 mm. The bar is 240 mm long. At the 25-kN load, the stress in the polymer bar is less than its proportional limit. Determine (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar thickness. Answers: (a) E= (b) v = (c) Athickness= i GPa mm

At an axial load of 25 kN, a 45-mm-wide by 15-mm-thick polyimide polymer bar elongates 3.1 mm while the bar width contracts 0.18 mm. The bar is 240 mm long. At the 25-kN load, the stress in the polymer bar is less than its proportional limit. Determine (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar thickness. Answers: (a) E= (b) v = (c) Athickness= i GPa mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: An aluminum alloy [E = 73 GPa; v = 0.33; a= 23.0 x 10-6/°C] plate is subjected to a tensile load P.…

Q: Example: the low cycle fatigue of a certain steel is given by life cycle equation-2: (of/E)=0.005…

A: The fatigue strength of steel /Modulus of elasticity(E), The fatigue Ductility coefficient is, The…

Q: At an axial load of 25 kN, a 45-mm-wide by 20-mm-thick polyimide polymer bar elongates 2.9 mm while…

A: Axial load (P) = 25 KN = 25 × 103 N Elongation in bar (∆L) = 2.9 mm Change in width (∆b) = 0.19 mm…

Q: An aluminum alloy [E = 70 GPa; v = 0.33; a = 23.0×10-6/°C] bar is subjected to a tensile load P. The…

Q: An aluminum alloy cylinder with a diameter of 76 mm and a height of 150 mm. is subjected to a…

Q: A bar of a steel alloy that exhibits the stress-strain behavior shown in the Animated Figure 6.22 is…

Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L-760 mm. The…

A: Give Data: Length of beam=760 mm b1=102 mm b2=20mm d2=20mm a=6.5 mm tensile stress=10 Mpa…

Q: polymer a bending moment M. zth of the eam Is L dimensions of the beam are b, = 33 mm, di = 102 mm,…

A: It is asked to calculate maximum moment (M) that can be applied.

Q: Fc FA Fa Fc

A: According to given data Fa , Fb , Fc principal stresses are shown in three elements We need to…

Q: A cylindrical specimen of cold-worked steel has a Brinell hardness of 240. If the specimen remained…

Q: An AISI 1040 hot-rolled steel [E = 207 GPa; α = 11.3×10–6/°C] bar is held between two rigid…

Q: The brass shell (ab = 20.9 × 10-6/°C) is fully bonded to the steel core (as = 11.7 × 10-6°C).…

A: Step 1:Step 2:

Q: The figure shows the state of stress on the element at a point on a member. Determine the stress…

A: Normal stress about x axis, Normal stress about y axis, Shear stress, Angle, To find: Stress…

Q: 2. A steel with E = 29 000 ksi with a rectangular cross-section is bent over a rigid mandrel with R…

Q: Determine the following: a. Young's modulus within the linear portion b. Tangent modulus at a stress…

A: a).Young's Modulus : At the proportional limit, stress is directly proportional to strain stress α…

Q: 2. The Goodman diagram relates oa and om for fatigue failure after a specific number of cycles N₁,…

A: Given, Fatigue strength under zero mean stress , σa(0) = 0.45 σTS Tensile strength, σTS = 375…

Q: An extruded polymer beam is subjected to a bending moment M. The length of the bear is L = 500 mm.…

A: Given data Allowable tensile bendig stress = 18 MPa Allowable compressive bending stress = 9 MPa

Q: The strain gauge measurement of a steel plate indicate the principle strains are 0.003 and 0.001.…

A: Principle strains- ε1=0.003ε2=0.001E=200 GPaμ=0.33

Concept explainers

Pressure and Stress

Question

At an axial load of 25 kN, a 45-mm-wide by 15-mm-thick polyimide polymer bar elongates 3.1 mm while the bar width contracts 0.18
mm. The bar is 240 mm long. At the 25-kN load, the stress in the polymer bar is less than its proportional limit.
Determine
(a) the modulus of elasticity.
(b) Poisson's ratio.
(c) the change in the bar thickness.
Answers:
(a) E=
(b) v =
(c) Athickness=
i
GPa
mm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Calculate the E , Poission ratio , thickness change

VIEW

Step 2: Calculation the E , Poission ratio , thickness change

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions

2.58 Knowing that a 0.02-in. gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to 11 ksi, (b) the corresponding exact length of the aluminum bar. 0.02 in. 14 in. 18 in. ਕਰ Bronze A = 2.4 in² E-15 x 105 psi a = 12 x 10-6/"F Aluminum A = 2.8 in² E = 10.6 x 105 psi a = 12.9 × 10-5/"F
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 880 mm. The cross-sectional dimensions of the beam are b1 = 37 mm, d1 = 86 mm, b2 = 22 mm, d2 = 22 mm, and a = 7.5 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam.
Calculate the stress and strain at each force interval. Plot a graph of the stress-strain curve. Estimate the yield point of the steel and note its location on the curve. Estimate the ultimate strength of the steel and note its location on the curve.
An aluminum alloy rod has a circular cross section with a diameter of 7mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E = 69 GPa. If Poisson's Ratio is 0.38, what will be the lateral strain? E=6/8 v= -€(lateral)/e(axial) V ominorbooomes
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm. The cross-sectional dimensions of the beam are b₁ = 33 mm, d₁ = 109 mm, b₂ = 20 mm, d₂ = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 11 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ a M B A Answer: M = L d₂ N•m b₁ d₁
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 580 mm. The cross-sectional dimensions of the beam are b1 = 36 mm, d1 = 106 mm, b2 = 22 mm, d2 = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam.
A circular aluminum alloy [E = 70 GPa; a = 22.5 × 10-6/°C; v = 0.33] pipe has an outside diameter of 270 mm, a wall thickness of 14 mm, and a length of 5.1 m. The pipe supports a compressive load of 635 kN. After the temperature of the pipe drops 44°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) õ = i mm AD = i mm
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 800 mm. The cross-sectional dimensions of the beam are b1 = 35 mm, d1 = 108 mm, b2 = 21 mm, d2 = 21 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam.
6. Derive the resolved shear stress(RSS) equation for dislocation at an arbitrary plane at angle (e) with horizontal under nominal axial tensile stress(o) and plot the variation of Schmidt factor with
Solve it correctly please.
A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x N = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress ain = -213 MPa, the maximum stress omax = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude o, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa MPа b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) N :
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 760 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 110 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam.