A steel column is a cylinder 6.8 m long and 0.35 m in diameter. What is the change in length of the column when it experiences a tensile stress resulting from the application of a 3600 N force? The elastic modulus for steel is 20 × 1010 Nm2/kg2. ΔL = m

A steel column is a cylinder 6.8 m long and 0.35 m in diameter. What is the change in length of the column when it experiences a tensile stress resulting from the application of a 3600 N force? The elastic modulus for steel is 20 × 1010 Nm2/kg2. ΔL = m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus...

See similar textbooks

Related questions

Q: A 37.5-mm-diameter rod 6 m long elongates 12 mm under a load 236 KN. The diameter of the rod…

Q: A cylindrical specimen of some metal alloy 11.7 mm (0.4606 in.) in diameter is stressed elastically…

Q: Q 3 A square steel bar 50 mm on a side and 1 m long is subject to an axial tensile force of 250 kN.…

Q: A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. Bulk Modulus…

A: L=1.5 m D=4cm or .04 mK=14×1010 Pa Vi=π4×D2×LVi=π4×.042×1.5Vi=1.8849×10-3 m3AndVf=.00089 m3

Q: Determine the instantaneous stress and elongation of a 30 mm diameter bar if a mass of 60 kg falls…

A: This the case of impact load so impact stress is given as σ=PA1+1+2EAhPL P=mg=60*10=600 N…

Q: The data below are for a thin steel wire suitable for use as a guitar string.…

A: Given data: The original length of the guitar string, L = 1.5 m. Ultimate tensile stress, σut =…

Q: A: When the pressure of liquid is increased from 3.5 MN/m² to 6.5 MN/m² its volume is found to…

Q: A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. (refer to Table…

Q: Find the breaking point along the fishing rod assuming that the base of the rod is in a fixed…

A: Given: Diameters of the rods are: a = 9.93 mm b = 7.13 mm c = 5.1 mm Total length of the rod is 2 m.…

Q: A circular tube is subjected to torsion by torques T applied at the ends. The bar is 0.75 m long and…

A: Given Data: The length of the tube is, l=0.75 m=0.75 m×1000 mmm=750 mm. The inside diameter of the…

Q: A copper rod of diameter 10 mm and length 4 m has a tensile force of 5 kN applied on it . Modulus of…

Q: A bar of thickness 15mm and having a rectangular cross-section carries a load of 120kN. Determine…

Q: What is stress transformation and why we study stress transformation at a point within a given…

A: Given Stress transformation To find Definition of stress transformation Importance of stress…

Q: 12.5 mm diameter steel rod is pinned between two rigid walls. The rod is initially unstressed. The…

A: We have to find axial force

Q: 5. A force of 20,000 N will cause a 1 cm x 1 cm bar of magnesium to stretch from 10 cm to 10.045 cm.…

Q: Can you explain how to calculate the reactions step by step?

A: To calculate the reactions, first draw the free body diagram of the beam with details of dimensions…

Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…

A: Given data: γ=2.0 lb/in3y=2.8 inL=14 inE=20000 ksi Need to determine the change in length of the bar…

Q: A tensile stress is applied along the longitudinal axis of a cylindrical brass rod that has a…

Q: A bar having a length of 125 mm and cross-sectional area of 467.5 mm² is subjected to an axial force…

Q: The modulus of rigidity of a material is 63KN/mm2. A rod of diameter 40mm is subjected to an axial…

A: Given data: The modulus of rigidity is, G=63 kN/mm2. The diameter of the rod is, d=40 mm. The…

Q: Please answer both 1 and 2 as they relate to eachother. thank you in advance

A: Write the properties of 1040 steel.

Q: (1) Find the factor of safety allowed in a piston rod 200 mm diameter if the maximum tensile pull in…

A: Given data: d=200 mmF=1 MNσS=600 MPa Need to determine the factor of safety allowed in a piston rod.

Q: A solid 0.12 in. diameter steel (E = 30,000 ksi: a = 6.5 × 10-6/°F] wire is stretched between fixed…

Q: n of aluminum having a rectangular cross section 9.6 mm × 13.0 mm (0.3780 in. × 0.5118 in.) is…

A: Given:Area, A=9.6*13.0 mm2F=35800 NE=69 GPa

Q: A composite bar is subjected to a tensile load of 115 kN. Bar 1 is rectangular cross section with…

Q: 12 cm x 16 cm air compressor is operated with a maximum pressure of 10 kg/cm^2. There are 5 bolts…

Q: A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m…

Q: A steel is 10 mm diameter and 2 m long. It is stretched with force of 20 kN and extends by 0.2 mm…

Q: A steel rod (initial diameter: 3.2 mm, initial length: 42 mm) is extended by a uniaxial tensile load…

Q: The ratio of modulus of rigidity to bulk modulus for a Poisson's ratio of 0.25 would be: (а) 2/3 (с)…

A: Given, Poisson's ratio = μ = 0.25 From the relation between Young's modulus and Modulus of…

Q: A specimen of titanium alloy is tested in torsion and the shear stress–strain diagram is shown in…

A: By inspection, the graph is linear upto point A. Thus, the proportional limit is The maximum shear…

Q: A 200 kg load is hung on a wire of length 4 m, cross sectional area of 0.2 x 10 -4 m2 and Young’s…

A: Given data: The mass hanged in the wire is m = 200 kg. The length of the wire is L = 4 m. The area…

Q: A stranded steel cable with known cross section and modulus of elasticity supports a 950 lb gin…

A: Given data as per question weight of pole =950 lb A = 0.11 in2 V =30 fpm v=30×1260=6 inschange in…

Q: Given the stress-strain behavior of a brass specimen below, estimate its Brinell hardness value. 500…

Q: A torsion test shows that the shear modulus of an aluminum specimen is 4.60 x 10^6 psi. When the…

Q: An alloy has a yield strength of 805 MPa and an elastic modulus of 107 GPa. Calculate the modulus of…

A: Given; σy=805 MPaE=107 GPa also give that it exhibits linear elastic stress strain behavior. To…

Q: 9. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of…

Q: A rod is 0.5 m long and 5 mm diameter. It is stretched 0.06 mm by force of 3 kN. Calculate stress…

A: Length of the rod, L= 0.5 m= 500 mm Diameter of the rod, d= 5 mm Length stretched, ∆L= 0.06 mm…

Q: Normal forces (F1, F2, and F3) are uniformly applied across the faces of a rectangular…

A: Calculating the area perpendicular to the applied load as follows –

Q: The rod of 120cm long and 18mm diameter subjected to axial pull of 18kN. If modulus of Diameter =…

Q: What strain will be produced by a stress of 80 x 106 N/m2, for a given modulus of elasticity 200GPa.…

A: Given, stress = 80 x 106 N/m2 modulus of elasticity (E) = 200GPa= 200x 109 N/m2

Q: If Poisson's ratio of a material is 0.5, then the elastic modulus for the material is a)three times…

A: Given data: μ=0.5 Need to determine the elastic modulus for the material.

Q: A liquid compressed in a container has a volume of 1.3 L at pressure of 1 MPa and a volume of 0.990…

A: Given data, P1= 1 MPa P2= 3 MPa V1= 1.3 L V2= 0.99 L

Q: Consider a cylindrical specimen of a steel alloy with 8.5 mm diameter and 80 mm long that is pulled…

A: Calculate Modulus of Elasticity in MPa and psi Modulus of Resilience in MPa and psi

Q: a) Determine the elements of the stiffness matrix [Q] for a lamina made from T300 carbon fiber/epoxy…

Q: A steel [E = 200 GPa] rod with a circular cross section is 8-m long. Determine the minimum diameter…

Q: The area of a steel bar is 80 square millimeter and length is 0.058 m long. It is stretched with a…

Question

A steel column is a cylinder 6.8 m long and 0.35 m in diameter.

What is the change in length of the column when it experiences a tensile stress resulting from the application of a 3600 N force? The elastic modulus for steel is 20 × 10¹⁰ Nm²/kg².

ΔL =

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

Given

VIEW

Step 1

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material of the bar has the stress-strain curve shown in the figure. Determi ne t he elongation 5 of the bar for each of the following axial loads: P = 10 kN, 20 kN, 30 kN, 40 kN. and 45 kN. From these results, plot a diagram of load P versus elongation 5 (load-displacement diagram).
Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300
A bar having a length of 5 in. and a cross-sectional area of 0.7 in.2 is subjected to an axial force of 8000 lb. If the bar stretches 0.002 in., determine the modulus of elasticity of the material. The material has linear elastic behavior.
9. A compressive force of 15-N is applied to a flexible poly(vinyl chloride) (CAS# 9002-86-2) wire that is 5-m long and has a diameter of 3.6-mm. If the wire contracts by 0.5-mm, calculate the compressive modulus
a 12mm thick steel tire has a width of 110mm and an internal diameter of 800mm. It is heated and shrunk onto a steel wheel 800.50mm in diameter. The modulus of elasticity of steel is 200gpa. Which of the following most nearly gives the comprehensive pressure between the tire and the wheel? A 3.30 mpa B 3.90 mpa C 3.75 mpa D 4.35 mpa
A 100 mm x 100 mm x 100 mm cube made with glass polymers in the y- direction is subjected to a tensile load of 100 kN along the y-direction. However, the cube is constrained against deformation in the x and z directions. Given the following properties: Ex = 20 GPa Ey = 50 GPa Ez = 20 GPa vxy = 0.25 vxz = 0.5 vyz = 0.25 (a) Compute for the change in length of the cube in the y-direction and; (b) Determine the stresses, σx, σy, σz
A square bar of wrought iron, 2 inches on each side, is raised to a temperature of 100 deg F above its normal. If held so that it cannot expand, K = 6.8 x 10-6 per deg F. What is the force necessary to prevent expansion? The modulus of elasticity E may be taken as 30 million psi. ( Answer : 81,600 lb)
– The weight is suspended from structural A–36 steel alloy and 2014-T6 aluminum alloy wires, eachhaving the same initial length of 10 ft and cross-sectional area of 7×10–3 in2 (Figure Q1). If the weight is increasedgradually, determine which wire yields first? Explain which material model and yield criterion you will use? Justifyyour choices
A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m experiences a stress of 600 MPa when placed under tension. If the material used for the truss tie-rod has a Young's Modulus, E, of 5.8 x 1011 N/m?, calculate: (i) the tie-rod's extension in millimetres (mm); (ii) the strain energy (U) in Joules; and (ii) the strain energy per unit volume (U/V) in Joules per cubic metre (m³). Give your answers to two decimal places.
A tensile test for a copper specimen has been performed and the following data are obtained. - Percentage of Elongation = 69 % - Percentage of Reduction in Area = 44 % - Final length after fracture = 36.3 mm - Final Diameter after fracture = 4.39 mm & - Ultimate stress = 359 MPa Determine the Initial length, Initial diameter and Maximum load. SOLUTION: i) Initial Length (in mm) = ii) Final Area (in mm2) = iii) Initial Area (in mm2) = iv) Initial Diameter (in mm) = v) Ultimate Load (in N) =