Concept explainers
A line was determined to be 2538.45 m when measured with a 45m tape supported throughout its length under a pull of 3.4 kg at a mean
temperature of 36⁰C. Tape used is of standard length at 20.2⁰C under pull of 4.1 kg. Cross sectional area of tape is 0.03 cm^2. Coefficient of
thermal expansion is 0.0000116/⁰C. Modulus of elasticity of tape is 2.3x10^6kg/cm2
▪ Determine the error of tape due to change in
temperature.
▪ Determine due the error of tension.
▪ Determine the corrected length of the line.
Step by stepSolved in 2 steps with 2 images
where did the highlighted part came from?
where did 56.11 or 56.41 in 2nd line on corrected length of the line come from after the value of - 0.000456?
where did the highlighted part came from?
where did 56.11 or 56.41 in 2nd line on corrected length of the line come from after the value of - 0.000456?
- A beam shown below, 200mm wide by 350mm deep, is loaded as shown in figure below. Determine the stress in a fiber 50mm from the top of the beam at point B. sokn B 30 kN/m 20 kn/m 20 km 2m 2m 4m R₁ * D +arrow_forwardA solid plastic rod has a diameter of d = 18 mm and a length of L = 700 mm. An axial load of P = 33 kN is applied to the rod as shown. The elastic modulus is E = 2.0 GPa and Poisson's ratio for this material is v= 0.41. Determine the magnitude of the change in the rod diameter Ad for the given load. Answer: Ad = i mmarrow_forwardA circular nylon [E = 8 GPa; ν = 0.35; α = 29 ×10-6/°C] disk with a circular hole in its center is shown. At an initial temperature of Ti = 22°C, the outer diameter of the disk is D = 210 mm, the diameter of the central hole is d = 55 mm, and the thickness of the disk is t = 24 mm. At a final temperature of Tf = 46°C, determine:(a) the change in diameter Δd of the central hole (assume an increase Δd as positive, otherwise as negative).(b) the change in thickness Δt of the disk (assume an increase Δt as positive, otherwise as negative).(c) the normal strain in the circumferential direction around the outside of the disk.arrow_forward
- A line was measured to be 2682.35m using a 30m steel tape supported throughout its length under a pull of 4.4kg. The mean temperature during measurement is 34 degree Celsius. The tape used has a cross sectional area of 0.03 square centimeters and has a standard length of 20degree Celsius under a pull of 5.5kg. The modulus of elasticity of the tape material is 2 x 10^6 kg/cm^2 and the coefficient of thermal expansion is 0.0000116 per degree Celsius. a. Determine the error due to temperature change. b. Determine the error due to tension. c. Determine the corrected length of the line.arrow_forwardA solid plastic rod has a diameter of d = 21 mm and a length of L = 600 mm. An axial load of P = 24 kN is applied to the rod as shown. The elastic modulus is E = 2.6 GPa and Poisson's ratio for this material is v=0.37. Determine the magnitude of the change in the rod diameter Ad for the given load. tel Answer: Ad= i Ja ↑ L mmarrow_forwardA 20 KN weight is suspended by two wires as shown in the figure. The length of each wire is 2 meter. The steel wire (E value 200 GPa) has a cross-sectional area of 60 x 10-6 m² and the aluminum wire (Evalue 70 GPa) has a cross-sectional area of 120 x 10-6 m². The stress in aluminum wire is Aluminum Steel 20 kNarrow_forward
- Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning