A mass of 30kg is hung from a steel wire of radius 7cm and length of 40m. What should be the minimum radius of wire so that the elastic limit is not exceeded, if the elastic limit for steel is 2.4 x 108 N/m2?

A mass of 30kg is hung from a steel wire of radius 7cm and length of 40m. What should be the minimum radius of wire so that the elastic limit is not exceeded, if the elastic limit for steel is 2.4 x 108 N/m2?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter10: Force And Force-related Variables In Engineering

Section: Chapter Questions

Problem 28P

See similar textbooks

Related questions

Q: 1. Consider the cantilevered beam shown in the diagram below. What are the resultant forces in the…

Q: A steel rod of circular section tapes from 2 cm diameter to 1 cm diameter over a length of 50 cm. If…

Q: 12) What pressure is required to reduce the volume of water by 0.6 percent? Bulk modulus of…

A: Given data: Reduce the volume of water=0.6% Bulk modulus of elasticity=2.2 GPa

Q: a calibrated steel tape of 30m length supported at full length and under 6kg tensile strength and…

A: Lo (standard length of tape) = 30m dL = +0.02m(2cm) Lm (actual length of tape) = 30.02m To(standard…

Q: You have a table as seen below. You'want to sit close to one edge, but when you sit, the other side…

A: Here,W = 4.4 mW1 = 1.2 mW2 = 1.6 mh = 1.1 mg = 9.81 m/s2Weight of table (N) = 32.7 kgWeight of…

Q: A 100 m tape weighing 30 N is suspended between the two ends under a standard pull of 180 N. The…

Q: A steel wire 1.7 mm in diameter stretches by 0.037% when a mass is suspended from it. The elastic…

A: Given data : Wire diameter (d)=1.7 mmElastic modulus of steel (E)=2×1011 N/m2Strain (ε%)=0.037 %

Q: 1. A uniform 42 kg ladder leans against a frictionless wall as shown. The ladder is 3.8 m long. A 52…

A: To determine the friction on the ground we will be using equilibrium equations. First, we have to…

Q: A steel rod, circular in cross-section, tapers from 30 mm diameter to 15 mm diameter over a length…

A: Given:- The steel rod tapers from 30 mm diameter to 15 mm diameter The length of the rod = 600 mm…

Q: If a 5-kg steel plate is attached to one end of a 0.1m x 0.3m x 1.2m wooden pole, what is the length…

Q: An aluminum bar with a cross-sectional area of 750 mm? is loaded as shown. What is the total change…

Q: Calculate the work required to bench press a 800 N weight, at a distance of 50 cm.

Q: The composite beam shown in the Figure 1 is constructed from wood and reinforced with a steel strap…

Q: An object has a Young's modulus of elasticity of 14.5Gpa. determine the stress and strain…

A: Given data, Young's modulus of elasticity = E = 14.5GPa = 14.5×10³mpa elongation= ∆L= 5cm Cross…

Q: If aluminum weighs 25.9 kN/m3, how much will a 305-mm-diameter sphere weigh when immersed in water?

A: Buoyancy force: The buoyancy force is exerted on the floating or immersed body. The buoyancy force…

Q: 4. If a block weighs 3000 lb, solve for the gravitational potential energy that has been made after…

A: Energy is a significant property that is used to transform to a body or a system to execute work on…

Q: Question 2 A steel rod having a cross-sectional area of 300 mm? and a length of 150 m is suspended…

Q: A structural member with a rectangular cross-section as shown in the accompanying figure is used to…

A: The given data is: P=2500 N l=20 cm A=0.1*0.005 m FS=2

Q: Question 2 A steel rod having a cross-sectional area of 300 mm? and a length of 150 m is suspended…

Q: A steel bar 1 in. square is 14ft long and has a modulus of elasticity of 29,000,000 psi. What total…

A: We know:Deformation =PLAEP=loadL=lengthA=areaE=modulus of elasticity of so,

Q: A copper wire is 1.0 m long and its diameter is 10 mm. If the wire hangs vertically, how much weight…

Q: 1. As shown in the figure, a rigid beam with negligible mass is pinned at one end and supported by…

A: Consider the free body diagram Calculate the moment at A as; ∑MA=0Ps×3+Pal×6=120×5 ......1…

Q: PROBLEM 5: An aluminum wire 3 mm in diameter and 4 m long is used to support a mass of 50 kg. What…

A: To find the elongation-

Q: A client asks you to construct an accent for her house. You use an iron wire, 0.75m long and…

A: Given data in question Length of wire Area of wire Modulus of elasticity Mass of cubes To find out…

Q: 1. A 100-lb force is pulling a 200-lb block as shown. The coefficient of static friction between the…

Q: A steel column with a cross section of 9 cm x 12 cm is 3 m in height and fixed at its base. The…

A: Given: Column dimensions Modulus of elasticity Length of column End conditions To find:…

Q: If aluminum weighs 25.9 kN/m3, how much will a 305-mm-diameter sphere weigh when immersed in water?…

A: Introduction : Unit Weight : Unit weight =Weight Volume units: Weight : KN Volume : m3 Given that…

Q: Calculate the strain energy stored in a bar 3m long and 5cm in diameter when it is subjected to a…

A: Given, Length of bar L = 3m = 300cm Diameter d = 5cm Tensile load P = 8t = 8000kg E = 2×10⁶kg/cm²…

Q: Calculate the stiffness of a homogenous bar having elastic modulus of 200 GPa, length of 2 m, and…

Q: A steel rod having a cross-sectional area of 318 mm2 and a length of 95 m is suspended vertically…

Q: A 50 ft. piece of tubing weighs 1.7 lb. What is the weight of a 27-ft. piece of tubing?

A: Solution The solution of the above question is in the second step

Q: a steel wire is 4m long and 2mm in diameter .how much is it elongated by 20kg body suspended on it ?…

A: Stress is defined as the ratio of the stress to the unit area applied. σ = PA =20×9.81π4×2×10-32…

Q: How much will a steel rod lengthen under tension with the following considerations? The steel rod is…

Q: A 30-m steel tape weighing 1.68 kg. is of standard length under a pull of 50 N, supported for full…

Q: While working on an exhibit, a curator at the Smithsonian Institute pulls the suspended Voyagen…

A: We have to find the tension in cable BF in Kg.

Q: Actual weight of steel bars = 1.520 kg/m, Standard weight of steel bars (16mm )= 1.579 kg/m, Load at…

Q: Que 67. Calculate the weight (Kg) per meter length of 25 mm diameter steel bar place at a spacing of…

A: Given data- Diameter of the steel bar=25 mmspacing=250 mmTo Find-The weight per meter length of the…

Q: Calculate the stiffness of a homogenous bar having elastic modulus of 200 GPa, length of 2 m, and…

A: STIFFNESS: IT IS THE FORCE REQUIRED TO PRODUCE UNIT DEFLECTION. K= P/∆ ∆= PL/AE

Q: A round steel bar of length 40 cm consists of two equal portions of 20 cm each having diameters of…

A: Given that, Length of each portion, L1= L2 = 20cm Load on each bar , P1 = P2 = 10 tonnes = 10⁴kg E =…

Q: AS DEPICTED IN THE DIAGRAM, A BEAM IS LOADED. WHAT IS THE BEAM'S EQUIVALENT CONCENTRATED LOAD? 50…

A: Given:- a loaded beam as shown below

Q: 1. A wire of I mm diameter and I m long fixed at one end is stretched by 0.01 mm when a load of 10…

A: Youngs modulus of elasticity = 1.25x1013 N/m2

Q: Calculate the strain energy stored in a bar 3m long and 5cm in diameter when it is subjected to a…

A: Given that: Length of bar, l = 3m Diameter of bar, d = 5cm…

Q: 1. A wire of I mm diameter and 1 m long fixed at one end is stretched by 0.01 mm when a load of 10…

A: Given:- Diameter of wire = 1mm = 10-3m Change in length of wire= 0.01mm= 10-5 m Load on wire= 10kg…

Q: A steel rod of length 300 mm and diameter 30 mm, is subjected to a pull 'P' while the temperature Is…

Q: Calculate the stiffness of a homogenous bar having elastic modulus of 200 GPa, length of 2 m, and…

A: To find:- the stiffness of a homogenous bar having elastic modulus of 200 GPa, length of 2 m, and…

Q: A 600 N ball is thrown downward with an initial velocity of 3 m/s from a height of 1.5 m above a…

Q: A fuel oil tank, when filled, weighs 1,900 pounds. It stands on 4 legs asshown. What weight must the…

A: Given data: Weight of filled fuel tank = 1900 pounds. Number of leg support=4.

Q: The two systems shown start from rest. On the left, two 40-lb weights are connected by an…

Q: The cross section of the rim of an iron flywheel 3 ft. In diameter is a rectangle 12" by 3". How…

A: Given: The diameter of the flywheel is 3 ft. The cross-section of the rectangular rim is 12 in x 3…

Concept explainers

Asphalt Binders and Mixtures

Asphalt binders are subsidiary products procured during the refining process of petroleum while manufacturing gasoline, diesel, and similar petroleum products. Asphalt binders are obtained from the residue that remains after the distillation of petroleum, this residue is further subjected to steam distillation and oxidation to remove the traces of gas oil present in the residue. Certain additives or modifiers are also added to asphalt binders to alter them to suit different applications.

Question

I need the answer as soon as possible

A mass of 30kg is hung from a steel wire of radius
7cm and length of 40m. What should be the
minimum radius of wire so that the elastic limit is not
exceeded, if the elastic limit for steel is 2.4 x 108
N/m2?

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

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 copper wire is 1.0 m long and its diameter is 10 mm. If the wire hangs vertically, how much weight must be added to its free end in order to stretch it 3.0 mm?
A thin walled spherical tank is filled with water at a pressure of 4666 psig, the tank’svolume is then 805.407 in3. If the water is released from the tank, how many poundswill be collected at atmospheric pressure? Use 305 000 psi as an average value of bulkmodulus of elasticity
Steve Roger measured a line and found it out to be 950 m long using a 20 – m tape under a steady pull of 4 kg at a mean temperature of 25°C. The tape was held in the air and supported at both ends and at the center. Determine the correct length of the line if the tape used is of standard length at 22°C under a pull of 6 kg. Assume the cross-sectional area of tape to be 0.05 cm2, modulus of elasticity as 2.10 x 10^6 kg/cm^2, weighs 0.08 kg/m, and a Coefficient of Thermal Expansion to be 0.0000116/°C.
The cross section of the rim of an iron flywheel (S+3) ft. In diameter is a triangle 12" by 3". How much does the rim weigh? Note: Iron weighs 450lb/cu ft. S=10
A rectangular box is floated. Outer dimensions 2m by 10m and has 2m high sides and weighs 4.9N. It carries a load of 4.9N. It is launched in a pool of water with density 1 g/cm3. How much (in m) of the boat submerged (actual draft)? Provide the answer in appropriate precision (significant digits).
Alice is to walk across a “high wire” strung horizontally between twobuildings 10.0 m apart. The rope make a sag of 10.0° at horizontal whenshe is at the midpoint. If her mass is 50.0 kg, what is the tension in the ropeat this point? INCLUDE THE GIVEN AND MAKE A FIGURE
Calculate the pressure increase that must be applied to water to reduceits volume by 0.8%. Bulk Modulus of elasticity of water, Ev = 2.14 GPa.
A tape 100m long, it's cross sectional area in 0.0585 cm', the apparent length of which was found to be 1500m. The tape was Standardized under a pull of 6.75kg but after the line was measured, it was Found that the pull actually used during the measurement was = 7.75 kg. what Was the true length of the line if the tape was standardized & used on the flat? Take young modulus, E = 2,000,000 kg/cm²
A line was found to be 2,395.25 m long when measured with a 30 m tape under a steady pull of 3 kg. at a mean temperature of 30°C. The tape was held in the air and supported at both ends and at every one third of the tape. Determine the correct length of the line if the tape used is of standard length at 20°C under a pull of 5 kg. Assume the cross-sectional area of tape to be 0.02 cm2, Elastic Modulus as 2.10 x 106kg/cm2, weighs 0.05 kg/m, and a Coefficient of Thermal Expansion to be 0.0000116/°C.
Show complete solution with figures A rigid container having outside diameter of 30 mm and thickness of 5 mm contains water of height 700 mm.What will the column length be if a force of 5 kN is applied to its open end by a frictionless plunger? Assume noleakage. Use 2.2 GPa for bulk modulus of elasticity of water. a) 689 mm b) 525 mm c) 527 mm d) 695 mm e) None
A client asks you to construct an accent for her house. You use an iron wire, 0.75m long and 3.75x10^-3 cm^2 in cross sectional area, and hang a brass cube of mass 8 kg on one end. On the bottom of the brass cube, you attach a similar iron wire and hang another brass cube of mass 7.5 kg. If young's modulus of elasticity for iron is 21x10^10 Pa and that the weight of the iron wire is neglected. Determine the tensile stress, tensile strain and the elongation.
Determine the Bulk modulus of elasticity of a liquid, which is compressed in a cylinder from a volume of 0.0125 m3 at 80 N/cm2 pressure to a volume of 0.124 m3 at 150 N/cm2 pressure ?