Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 4, Problem 4.8P
To determine
The total change of length possible for the beams in the design.
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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 uniform beam of weight Wis supported by the two rods, the lower ends of which are at
the same level just before the beam is supported, as shown in figure.
The ratio of the areas
Aluminium
(E = 70 GPa) 2 m
1.5 m
W
3 m
3m
Aaluminium
Asteel
Steel
(E = 200 GPa)
0.5 m
of the rods so that the beam will be horizontal after it is attached to the rods is
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.)
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
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- Mechanics 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) 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_forwardthe 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
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