Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 4.8P
To determine
The total change of length possible for the beams in the design.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Mechanics of Deformable Bodies Problem:
The figure shows the upper half of a built up girder( the cross section is symmetric about the neutral axis). All rivets used in fabrication have a diameter of 22 mm. The moment of inertia of the entire cross sectional area of the girder about the neutral axis is l=4770x10⁶mm⁴. The working stresses are 100 MPa for rivets in shear and 280 MPa for bearing of the web plate. If the maximum shear force carried by the girder is 450 kN, determine the largest allowable spacing of rivets that join the angles to the web plate.
A circular steel rod AB (diameter d1=15 mm, length
L1=1100 mm) has a bronze sleeve (outer diameter d2
21 mm, length L2=800 mm) shrunk onto it so that the two
parts are securely bonded (see figure).
Calculate the total elongation δ (mm) of the steel bar due
to a temperature rise ΔT=200oC. (Material properties are
as follows: for steel, Es=210 GPa and αs=12x10-6/C;
for bronze, Eb=110 GPa and αb=20x10-6/C.)
A 1.0 meter long A36 steel rod with a diameter of 40mm is lightly attached at both end of the rod, end A and end B. A collar is located in the center of the rod. The initial temp is 60 degrees C. The final temperature is 35 degrees C. Determine the force that must be applied to the collar so that the reaction at B is zero.Given:Delta T=25 degrees CE for A36 steel: 200 GPaCoeff of thermal expansion: 12(10^-6)/degree C
Chapter 4 Solutions
Materials Science And Engineering Properties
Ch. 4 - Prob. 1CQCh. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Prob. 5CQCh. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Prob. 10CQ
Ch. 4 - Prob. 11CQCh. 4 - Prob. 12CQCh. 4 - Prob. 13CQCh. 4 - Prob. 14CQCh. 4 - Prob. 15CQCh. 4 - Prob. 16CQCh. 4 - Prob. 17CQCh. 4 - Prob. 18CQCh. 4 - Prob. 19CQCh. 4 - Prob. 20CQCh. 4 - Prob. 21CQCh. 4 - Prob. 22CQCh. 4 - Prob. 23CQCh. 4 - Prob. 24CQCh. 4 - Prob. 25CQCh. 4 - Prob. 26CQCh. 4 - Prob. 27CQCh. 4 - Prob. 28CQCh. 4 - Prob. 29CQCh. 4 - Prob. 30CQCh. 4 - Prob. 31CQCh. 4 - Prob. 32CQCh. 4 - Prob. 33CQCh. 4 - Prob. 34CQCh. 4 - Prob. 35CQCh. 4 - Prob. 36CQCh. 4 - Prob. 37CQCh. 4 - Prob. 38CQCh. 4 - Prob. 39CQCh. 4 - Prob. 40CQCh. 4 - Prob. 41CQCh. 4 - Prob. 42CQCh. 4 - Prob. 43CQCh. 4 - Prob. 1ETSQCh. 4 - Prob. 2ETSQCh. 4 - Prob. 3ETSQCh. 4 - Prob. 4ETSQCh. 4 - Prob. 5ETSQCh. 4 - Prob. 6ETSQCh. 4 - Prob. 7ETSQCh. 4 - Prob. 1DRQCh. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10PCh. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25P
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
- the resultant of two forces in a plane is 400N at 120 degrees. if one of the forces is 200N at 20 degrees what is the other forcearrow_forward(a) Figure Q2 shows a steel bar held between two rigid supports. The bar has a cross sectional area of 0.25 m? and is 6.0 m in length. The structure is stress free before a force P = 3×106 N is applied at the point shown. Steel has a Young's modulus E = 210 GPa and its coefficient of thermal expansion is equal to a = 12 ×10-6 K-1. (i) What is the stress in the bar to the left of the applied load? (ii) What change in temperature would cause the stress on the right of the applied load to go to zero? 4.0 m 2.0 m P Figure Q2 -Constrained metal bar.arrow_forwardMechanics of Deformable Bodies The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? 21 -1.5 →1.5 Bronze Steel A = 900 mm2 E= 200 GPa L= 1.5 m A = 300 mm? E = 83 GPa L=2 marrow_forward
- A steel rod having a cross-sectional area of 0.002 sq. m. and length of 1.5 m. is attached to unyielding supports. If the temperature falls 60 degrees Celsius, the modulus of elasticity of steel is 200 x 109 N/m2, and the coefficient of linear expansion is 11.5 x 10–6 per degree Celsius, finda. the deformation due to the temperature drop in mm, andb. the force exerted by the rods on the supports in kN..arrow_forwardWhen laying tracks for the railroad, a small gap & is left between the ends of the rails for thermal expansion. The gap is such that if the temperature increases from -20°F to 90°F the rails will just touch. If the temperature is increased to 110°F, what will be the axial force in the rail with a length L=50 ft, modulus of elasticity E=29x10ʻ psi, coefficient of thermal expansion a=6.6x106/°F, and a cross-sectional area of 5.2 in?. -8 -L ftarrow_forwardThe polyvinyl chloride bar is subjected to an axial force of 900 lb. If it has the original dimensions shown, determine the value of Poisson’s ratio if the angle u decreases by Δu = 0.01° after the load is applied. Epvc = 800(103) psi.arrow_forward
- A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to provide support for AB. We are investigating the behavior of this system under a specific load. Key Details: Bar properties: Material: Steel with Young's modulus (Esteel) of 200 GPa and coefficient of thermal expansion (a) of 11.7 x 10^-6 /°C. Cross-sectional area: AC: 1960 mm² AD: 1250 mm² Length: AC: √2 meters (square root of 2 meters) AD: 1 meter Inclination angles: AC: θ₁ (theta 1) = 30° from horizontal AD: θ₂ (theta 2) = 20° from horizontal Load on bar AB: Idealized linearly increasing load with a maximum value of 30 kN/m at point B. Problem Objectives: Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB. Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions.If the bar is cooled by 10°C, what would be the: Determine the internal forces (axial forces) acting within bars AC and AD…arrow_forward#30arrow_forwardHelp me pleasearrow_forward
- Three aluminum rods support the rigid L-shaped bracket BCF as shown in the figure. Determine the stress in rod DE (express answer in MPa) if rod FG is cooled by 50°C. All three rods have the same cross-sectional area of 1000 mm^2. Use 73.1 GPa and 23 x 10^-6 /°C for the modulus of elasticity and the coefficient of thermal expansion of aluminum, respectively.arrow_forwardAn aluminum alloy cylinder (2) is clamped between rigid heads by two steel bolts (1), as shown. The steel [E = 200 GPa; α1 = 11.7 × 10−6/°C] bolts have a diameter of 19 mm. The aluminum alloy [E = 70 GPa; α2 = 23.6 × 10−6/°C] cylinder has an outside diameter of 160 mm and a wall thickness of 9 mm. Assume that a = 700 mm, b = 810 mm, and c = 325 mm. If the temperature of this assembly changes by ΔT = 60°C, determine(a) the normal stress in the aluminum cylinder.(b) the normal strain in the aluminum cylinder.(c) the normal strain in the steel bolts.arrow_forwardProvide solution and explain also with stepsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSON
Principles 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 Education
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning