A bar having a length of 125 mm and cross-sectionalarea of 437.5 mm2 is subjected to an axial force of 40 kN. If3-13.the bar stretches 0.05 mm, determine the modulus ofelasticity of the material. The material has linear-elasticbehavior.40 kN40 kN-125 mmProb. 3–13

Answered: Image /qna-images/answer/af275e4e-f9d0-4620-8cf2-b05b98bec22d.jpg

3–13. A bar having a length of 125 mm and cross-sectional area of 437.5 mm² is subjected to an axial force of 40 kN. If the bar stretches 0.05 mm, determine the modulus of elasticity of the material. The material has linear-elastic behavior. 40 kN 40 kN -125 mm Prob. 3–-13

3–13. A bar having a length of 125 mm and cross-sectional area of 437.5 mm² is subjected to an axial force of 40 kN. If the bar stretches 0.05 mm, determine the modulus of elasticity of the material. The material has linear-elastic behavior. 40 kN 40 kN -125 mm Prob. 3–-13

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The cantilever strut is subjected to the point loads P1 = 1.4 kN and P2 = 2.8 kN. Determine the…

A: A loading beam With LoadsP1=1.4 kNP2=2.8 kNTo determine: Shear stress at point B

Q: A rod has a radius of 10 mm. If it is subjected to an axial load of 15 N such that the axial strain…

Q: The 8-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an…

A: Given data: Bolt diameter, db = 8 mm Inner diameter, di = 12 mm Outer diameter, do = 20 mm Original…

Q: *4-20. The assembly consists of three titanium (Ti-6A1-4V) rods and a rigid bar AC. The…

Q: The rectangular bar is connected to the support bracket with a 24-mm-diameter pin. The bar width is…

A: Diameter of pin, d=24 mmWidth of the bar, w=80 mmThickness of the bar, t=20 mmDimensions of each…

Q: The rectangular bar is connected to the support bracket with a 11-mm-diameter pin. The bar width is…

A: Diameter of pin, d=11 mm=0.011 mBar width, w=60 mm =0.060 mBar thickness, t=10 mm=0.010 mThe average…

Q: The solid circular rod has a cross-sectional area of 470 mm². It is subjected to a uniform axial…

Q: The rectangular bar is connected to the support bracket with a 26-mm-diameter pin. The bar width is…

A: Given data:- Diameter of pin =26mm. The bar width (w)= 60 mm the bar thickness (t) = 15 mm. Each…

Q: The deck of a bridge is made up of 12 mm thick steel plates 2 m long by 1·2 m wide. Under load, the…

Q: The rectangular bar is connected to the support bracket with a 27-mm-diameter pin. The bar width is…

Q: 3-29. The friction pad A is used to support the member, which is subjected to an axial force of P= 2…

A: GivenP=2kNE=4MPaμ=0.4w=50mm

Q: *4-32. The column is constructed from high-strength concrete and four A-36 steel reinforcing rods.…

A: According to the given dataWe need to findDiameter of the steel wire

Q: The rod is 200 mm long and 60 mm in diameter. If an axial load of 300 N is applied to it, determine…

A: Given data:

Q: The weight is suspended from steel and aluminum wires, each having the same initial length of 3 m…

A: For given conditioning both wires will have equal deflection Also Net vertical forces are zero as…

Q: The rectangular bar is connected to the support bracket with a 17-mm-diameter pin. The bar width is…

Q: The rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is…

Q: The distributed loading is applied to the rigid beam, which is supported by the three bars. Each bar…

A: Due to the distributed load the bars will experience equal force. Let the force in each bar be F.…

Q: An acetal polymer block is fixed to the rigid plates at its top and bottom surfaces. If the top…

A: Given Data: The horizontal force P = 2 kN. The displacement of the top plate is d = 2 mm. The…

Q: ted together and placed between two walls when the ature is T = 12 C. Determine the force exerted…

Q: Question 2: The load binder is used to support a load. An external moment, MA is applied to the…

Q: The force P is applied to the bar, which is made from an elastic perfectly plastic material.…

A: Given, Section 1 = AB Length of AB (L1) = 6 in Cross section Area of AB (A1) = 1 in2 Load in AB = P1…

Q: The man has a mass of 84 kg and stands motionless at the end of the diving board. Figure -1.5 m B…

Q: The assembly is subjected to a tension force P = 2500 N. If these cables are arranged in a parallel…

Q: 1-50. The plastic block is subjected to an axial compressive force of 600 N. Assuming that the caps…

Q: 2-19. The load P applied to the pin-con- nected frame shown stretches cable CD 2.5 mm. The area of…

A: The free-body diagram of the one member is drawn below. Here, T and x represent the force in the…

Q: The d = 13-mm-diameter solid rod passes through a D = 21-mm-diameter hole in the support plate. When…

Q: The rectangular bar is connected to the support bracket with a 19-mm-diameter pin. The bar width is…

A: The diameter of pin, d = 19 mmThe bar width, b = 70 mmThe thickness, t = 15 mmThe average shear…

Q: If the yield strength for the bar is Gyield = 220 MPa, determine the maximum axial force P that can…

Q: 1-103. The bar is supported by the pin. If the allowable tensile stress for the bar is (o)allow =…

Q: *2-4. The force applied at the handle of the rigid lever causes the lever to rotate clockwise about…

Q: 2-11. If a load applied to bar AC causes point A to be displaced to the left by an amount AL,…

Q: The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load…

Q: The pole is supported by a pin at C and an A-36 steel guy wire AB. If the wire has a diameter of 0.2…

A: For A-36 steel Youngs Modulus, E = 29 x 103 ksi yield strength, = 36 ksi…

Q: A pipe is subjected to a tension force of P = 70 kN. The pipe outside diameter is 32 mm, the wall…

Q: The 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an…

A: Given data: Diameter of the bolt (db) = 10 mm Inner diameter of the sleeve (dsi) = 15 mm Outer…

Q: Problem 3, The metal stud punch is subjected to a force of 120 N on the handle. Determine the…

A: P=120 N

Q: 3. Determine the stress and strain in member DE if the applied force at C, E, and G are 3 kN, 5 kN…

A: Given data: ● The forces applied at thee joints C, E and G: PC = 3 kN = 3000 N PE = 5 kN = 5000 N PG…

Q: E 600 mm B 400 mm 400 mm- - 400 mm-

Q: 4–3. The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the…

A: The free-body diagram of the bar AB is represented as below. At equilibrium, ∑Fx = 0 FAB - 9kN = 0…

Q: The rectangular bar is connected to the support bracket with a 19-mm-diameter pin. The bar width is…

Q: The force P at D causes the rigid bar CBD to rotate by 0 = 0.5°. The flexible cable AB was…

A: And, the given diagram,

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

A bar having a length of 125 mm and cross-sectional
area of 437.5 mm2 is subjected to an axial force of 40 kN. If
3-13.
the bar stretches 0.05 mm, determine the modulus of
elasticity of the material. The material has linear-elastic
behavior.
40 kN
40 kN
-125 mm
Prob. 3–13

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

4-111. The bar having a diameter of 50 mm is fixed connected at its ends and supports the axial load P. If the material is elastic perfectly plastic as shown by the stress-strain diagram, determine the smallest load Pneeded to cause segment CB to yield. If this load is released, determine the permanent displacement of point C. |C B -0.6 m- -0.9 m- o (MPa) 140 - E (mm/mm) 0.001
The rectangular bar is connected to the support bracket with a 25-mm-diameter pin. The bar width is w = 65 mm and the bar thickness is 10 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 115 MPa, the bearing stress in the bar cannot exceed 120 MPa, and the bearing stress in the bracket cannot exceed 140 MPa. Determine the maximum value of Pmax that can be supported by the structure. Answer: Pmax i kN
The rigid bar ABC pivots about support B. After application of load P, end C of the rigid bar moves upward by 0.07 in. If the length of bar (1) is L₁-41 in, determine the average normal strain in bar (1). Assume that a-135 in, b-39 in, and c-0.15 in a b C Rigid bar 4 Part 1 * Incorrect Determine the distance that end A of the rigid bar moves downward, if end C moves upward by 0.07 in Answer: in VA i 00361
A 25 mm square-cross-section bar of length 300 mm carries an axial compressive load of 50 kN. Determine the stress set up in the bar and its change of length when the load is applied. For the bar material E = 200 MPa
8-21. The elastic portion of the stress-strain diagram for an aluminum alloy is shown in the figure. The specimen from which it was obtained has an original diameter of 12.7 mm and a gage length of 50.8 mm. When the applied load on the specimen is 50 kN, the diameter is 12.67494 mm. Determine Poisson's ratio for the material. 8-22. The elastic portion of the stress-strain diagram for an aluminum alloy is shown in the figure. The specimen from which it was obtained has an original diameter of 12.7 mm and a gage length of 50.8 mm. If a load of P = 60 kN is applied to the specimen, determine its new diameter and length. Take v = 0.35. σ (MPa) 490 0.007 Probs. 8-21/22 € (mm/mm)
Three steel wires are used to support the heavy box. Diameters of each wire are: 25 mm (AB), 32 mm (BC), and 40 mm (BD). Determine the stress on each wire if the mass of the box is m = 1,500 kg. A 5 30° B W 4 3
The rigid bar ABC pivots about support B. After application of load P, end C of the rigid bar moves upward by 0.06 in. If the length of bar (1) is L₁ = 51 in, determine the average normal strain in bar (1). Assume that a = 135 in., b=32 in., and c = 0.06 in. 4₁ 1 a Rigid bar B b
*3-12. Fiberglass has a stress-strain diagram as shown. If a 50-mm-diameter bar of length 2 m made from this material is subjected to an axial tensile load of 60 kN, determine its elongation. σ (Pa) 300(10%) 1/2 €(mm/mm)
The A-36 steel post is subjected to the forces shown. If the strain gages a and b at point A give readings of Pa = 300(10-6) and Pb = 175(10-6), determine the magnitudes of P1 and P2.
The 200 mm long and 20 mm diameter solid circular rod is subjected to an axial force of P. P = 400 and δ = 1.6. ElasticityCalculate the modulus E and the shear modulus G. Take 0.3 Poisson's ratio.
The material for the 50-mm-long specimen has the stress-strain diagram shown. If P = 100 kN, determine the elongation of the specimen.
The solid circular rod has a cross-sectional area of 460 mm². It is subjected to a uniform axial distributed loading along its length of w 8 kN/m. Two concentrated loads also act on the rod: P = 3 kN and Q = 6 kN. Determine the normal stress in the rod at x = 1.5 m. Assume a = 0.7 m and b = 1.2 m. W ->P Q A B x a Answer: 0 = i MPa b