A solid circular rod that is 600 mm long and 20 mm indiameter is subjected to an axial force of P = 50 kN.The elongation of the rod is 8 = 2.00 mm, and its%3Ddiameter becomes d' = 19.99635 mm. Determine themodulus of elasticity and the modulus of rigidity of thematerial. Assume that the material does not yield.

We will use formula of elongation. use formula of relation between E and G.

A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P = 50 kN. The elongation of the rod is 8 = 2.00 mm, and its diameter becomes d' = 19.99635 mm. Determine the %3D modulus of elasticity and the modulus of rigidity of the material. Assume that the material does not yield.

A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P = 50 kN. The elongation of the rod is 8 = 2.00 mm, and its diameter becomes d' = 19.99635 mm. Determine the %3D modulus of elasticity and the modulus of rigidity of the material. Assume that the material does not yield.

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: The solid shaft shown is made of a steel that is assu increased in magnitude until the shaft has…

Q: A rod with a diameter of 13 mm and a length of 50 mm is subjected to a force of 50 kN. The diameter…

Q: Problem 5: A rigid bar of negligible weight is supported as shown in Figure. If W = 100 kN, a)…

A: W = 100 kN = 60 MPa

Q: please solve all of the questions in the picture and post your work, please.

A: Detailed step by step solution is given below, still if you have any query please feel free to…

Q: f the shaft?A

A: We knowμ=Lateral strainLongitudinal strainLateral strain=δddLongitudinal strain=δLL

Q: 1. Given that the value of P on the figure below is equal to 15 kN which is applied to the…

A: To Determine Stress in each rod segment.

Q: 1.3 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Determine the…

A: Determine the magnitude of the force P for which the tensile stress in rod AB has the same magnitude…

Q: . What is the normal strain in the y-direction? What is the normal strain in the n-direction?in…

A: All Data is given in the figureNeed to find1- the normal strain in the y-direction2- the normal…

Q: 2. The solid rod with two rigid caps attached to its ends is subjected to an axial force P. If the…

Q: An element in pure shear is subjected to stresses Tgy = 3,900 psi, as shown in the figure. Consider…

Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

A solid circular rod that is 600 mm long and 20 mm in
diameter is subjected to an axial force of P = 50 kN.
The elongation of the rod is 8 = 2.00 mm, and its
%3D
diameter becomes d' = 19.99635 mm. Determine the
modulus of elasticity and the modulus of rigidity of the
material. Assume that the material does not yield.

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 by step

Solved in 2 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

A load of 1000 N is applied as shown in figure, given cross-sectional area of bar 1 & 2 is 100 mm² & 80 mm2, young modulus of elasticity E₁ = 120 GPa, E₂ = 150 GPa. Calculate the minimum normal stress (in MPa) (1) (2) P= P= 1000 N
The rectangular plate is subjected to force P that causes elongation in the horizontal direction and shrinking in the vertical direction as shown with the dashed line in the figure. Assume a = 550 mm, Δx = 2 mm, and Δy = 1.1 mm. Determine the shear strain γxy at point A? Determine the shear strain γnt at point A? In micro rad What is the normal strain in the x-direction? What is the normal strain in the y-direction? What is the normal strain in the n-direction? Answer in clear way please
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a= 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 31 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft O 3.74 kips 4.77 kips (1) B 3 ft 8 ft 1.5 ft 2 D
SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. ILLUSTRATE FREE BODY DIAGRAM.
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 38 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft 5.16 kips 4.86 kips 2.48 kips 3.88 kips O 4.09 kips (1) B 3 ft P 8 ft 1.5 ft
Question 4: A machine of 540 kg is bolted at the middle of two parallel simply supported steel beams. The clear span of the beam is 2.4 m. The moment of inertia of the cross-section of each beam is I = 4.2×10¯6 mª. The Young's modulus of the steel is E 200 GPa. When the machine is operating, it will generate a vertical force P(t)=Posinot. When the machine runs at 300 rpm, Po= 1500 N. Neglect the weight of the beams and assume 2% viscous damping in the system. Determine the amplitude of steady-state deflection of the beams at their midpoint when the machine runs at 300 rpm. machine 1.2 m = 1.2 m Steel beams
SOLVES STEP BY STEP, USE TABLE IF NECESSARY
A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (see figure). P The tank has an inner radius of r = 141 mm and wall thickness t = 6.5 mm. The internal pressure p = 7.25 MPa and the torque T = 820 N m. (Assume that the structure behaves linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) (a) What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 169 MPa? (Enter the magnitude in kN.) KN (b) If forces P = 400 kN, what is the maximum acceptable internal pressure in the tank (in MPa)? MPa
A thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The width of the plate is w = 1400 mm, and the height of the plate is h = 1900 mm. The shear strain at A is known to be +4294 μrad. Assume a = 2.4 mm. Calculate the magnitude of dimension b in the figure. D h Answer: b= i A W Ta mm 2