While testing a metallic rod, it is observed that the diameter of the rod is reduced by 0.0025 mm at an axial pull of 20 kN. The original diameter of the rod is 15 mm. Find the Young's modulus. The rigidity modulus is 50 kN/mm².

While testing a metallic rod, it is observed that the diameter of the rod is reduced by 0.0025 mm at an axial pull of 20 kN. The original diameter of the rod is 15 mm. Find the Young's modulus. The rigidity modulus is 50 kN/mm².

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: .109 A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown…

Q: A steppe

Q: A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P=…

A: solution Given length of the circular rod L =600mm diameter d=20mm axial load P =50KN =50000N…

Q: A torsion tube has an outer diameter of 32mm and an inner diameter of 28mm. A torque of 3200 N * m…

Q: The cross-section of a shaft 90 mm diameter is subjected to a bending moment of 6 kNm and a twisting…

Q: aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a…

Q: A rod with a cross-section of 2320 mm2 bears the pressure force of P = 180 kN. Rod length L = 50 cm…

A: Given data, Cross section area (A) = 2320mm² Force P = 180KN = 180×10³N Rod length L = 50cm =500mm…

Q: A solid shaft has to transmit 50 kW of power at a speed of 1910 RPM, Ignore any possible bending of…

Q: W = 20000 N There is a gap between the aluminum bar and the rigid slab that is supported by two…

A: Solution:- By assuming no restrictions: We know that, δT=αL∆T So, considering copper…

Q: A steel shaft AB of length 1.5 m and diameter 25 mm () carries a distributed torque of intensity t =…

Q: . As shown in the following figure, once the compressive force of Pb is applied to the pole of the…

A: Given, L = 8 m Diameter = 3.2 cm E = 21x 10^5 kg /cm²

Q: Q.12. In a tensile test a test piece of 25 mm diameter, 200 mm gauge length, stretched 0.0975 mm…

Q: A rigid block having a mass 5 Mg is supported by three rods symmetrically placed, as shown in the…

Q: A bar with a cross section of 2320 mm2 P = 180 kN carrying pressure force Rod length L = 50 cm and…

A: The given data is: The cross section area= 2320 mm2 P = 180 kN pressure force Rod length L = 50 cm E…

Q: A 30 mm diameter rod made of a ductile material with a yield strength of 200 MPa is subjected to…

A: Given : Diameter of rod = 30 mm Yield strength = 200 MPa Bending moment = 150 N-m This is a problem…

Q: A steel plate of width 120 mm and of thickness 20 mm is bent into a circular are of radius 10 m.…

A: Given:- The width of the steel plate = 120 mm The thickness of the plate = 20 mm The radius of the…

Q: At the proportional limit, a 29 mm wide by 12 mm thick bar elongates 1.7 mm under an axial load of…

Q: 2.41 The device shown consists of a disk that is rotated by a shaft. The disk is positioned very…

Q: A hollow steel rod has a length of 1m. The outside diameter of the rod is 0.2m and the inner…

A: Given: Length of rod, L = 1 m = 1000 mm Outside diameter of rod, Do = 0.2 m = 200 mm Inner diameter…

Q: a 3 m long cantilever beam (i.e., a beam fixed at one end) that carries a 500 kg concentrated point…

A: Tensile stress is 132.21 MpaCompressive stress is 257.465 MpaExplanation:Step 1:Step 2:

Q: A rigid steel bar is supported by three rods as shown. There is no strain in the rods before the…

Q: QUESTION 1 a) A bar 30 mm in diameter and 80 mm in length is subjected to a tensile load 100KN. The…

Q: At the limit of proportionality, a bar 30 mm wide (w) and 12 mm thick (t) elongates 2.0 mm under an…

Q: A hollow circular bar of cylindrical steel is 1.5 m long and has inner and outer diameters of 40 and…

A: I think the second answer that you provided is wrong plz recheck it I have tried to solve carefully…

Q: stress distributi e80 MPa.

A: Given data Extension length=40mm from the neutral axis σy=280MPa

Q: A circular rod and a 3/8-in.-thick rectangular bar are both made of a plastic material that has an…

Q: A rectangular thin plate with Young's modulus 200 GPa and Poisson's ratio 0.30 is subjected to…

A: Given data, Foe rectangular thin plate Young's modulus =200 GPa Poisson's ratio =0.30

Q: A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi;…

A: Given Data P = 47 Kips A = 2 in2 for each bar Find the normal force in bar-1 (F1)

Concept explainers

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

While testing a metallic rod, it is observed that the diameter of the rod is reduced by 0.0025 mm
at an axial pull of 20 kN. The original diameter of the rod is 15 mm. Find the Young's modulus.
The rigidity modulus is 50 kN/mm².

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 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

An 18-m-long steel wire of 10-mm diameter is to be used in the manufacture of a prestressed concretebeam. It is observed that the wire stretches 55 mm when a tensile force P is applied. Knowing that E=250GPa, determine (a) the magnitude of the force P, (b) the corresponding normal stress in the wire
A punch for making holes in steel plates is shown in Figure 3. Assume that a punchhaving diameter d = 20 mm is used to punch a hole of 8 mm plate. If force, V = 110 kNis required to create the hole, determine the shear stress in the plate.
A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is perfect contact with the wall on the left side and there is a gap of 0.2 mm between the rod and the wall on the right side. If the temperature of the rod is increased by 200°C, MPa. the axial stress developed in the rod is_ Young's modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10-5 per°C. 250 mm 0.2 mm
I need the answer quickly
The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made from a rubber-like material that expands when the nut is tightened to secure the sanding sleeve placed over the outside surface. If the diameter D of the mandrel increases from 2.35 in. to 2.56 in. as the nut is tightened, determine (a) the average normal strain along a diameter of the mandrel. (b) the circumferential strain at the outside surface of the mandrel. Sanding sleeve - Mandrel Answers: (a) E0= in./in. (b) Ec= in/in.
At the proportional limit, a 45 mm wide by 9 mm thick bar elongates 2.5 mm under an axial load of 49.8 kN. The bar is 1 m long. If Poisson's ratio is 0.3 for the material, determine: (a) the modulus of elasticity. (b) the proportional limit. (c) the change in each lateral dimension. Answers: (a) The modulus of elasticity E = (b) The proportional limit OPL= i (c) The change in width= i The change in thickness= i i mm. mm. GPa. MPa
Situation 8: The rigid, horizontal slab is attached to two identical copper rods. There is agap A = 0.08 mm between the middle bar, which is made of aluminum, and the slab.Neglecting the mass of the slab, the temperature in in all rods by 60°C. Use the following data: Each bronze rod Aluminum rod 22. Compute the stress in bronze rod 23. Compute the stress in aluminum rod 24. Compute the deflection on the rods Bronze A (mm²) 650 480 A Aluminum a (/°C) 18.9 x 10-6 23.1 x 10-6 Bronze 850 mm E (GPa) 83 70
AB rod as shown in Figure 2 imposed by tension axial force = 20 kN at both ends. Calculate the value of normal stress on rod.
The tubular shaft shown in the figure has an external diameter of D = 5.5 in. and an internal diameter of d = 2.75 in. and is subjected to a torque of T= 6825 lb-in. [theta = 31 deg] What is the shear stress at A?in psi What is the shear stress at B?in psi What is the shear stress at C? What is the shear stress at D?in psi What is the shear stress at E?in psi