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Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 2.2, Problem 2.20P
Determine the average normal strain that occurs along the diagonals AC and DB.
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Students have asked these similar questions
Determine the average normal strain that occurs along the diagonals AC and DB.
Determine the average normal strain along diagonal DB, based on the original plate (blue) and the deformed shaped (dashed line):
2 mm
y
C
300 mm
12 mm
D
-400 mm
A
5 mm
B
3 mm
4 mm
12 mm
X
(a) Determine the shear strain at corner A if the plate distorts as
shown by the dashed line.
(b) Determine the average normal strain that occurs along the
diagonal AC and DB.
5 mm
2 mm
4 mm
2 mm
IB
300 mm
$2 mm
D
A
400 mm
3 mm
Chapter 2 Solutions
Mechanics of Materials
Ch. 2.2 - A loading causes the member to deform into the...Ch. 2.2 - A loading causes the mamber to deform into the...Ch. 2.2 - A loading causes the wires to elongate into the...Ch. 2.2 - A loading causes the block to deform into the...Ch. 2.2 - A loading causes the block to deform into the...Ch. 2.2 - When force P is applied to the rigid arm ABC,...Ch. 2.2 - If the force P causes the rigid arm ABC to rotate...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The triangular plate is deformed into the shape...Ch. 2.2 - The square plate is deformed into the shape shown...
Ch. 2.2 - Prob. 2.1PCh. 2.2 - Prob. 2.2PCh. 2.2 - Prob. 2.3PCh. 2.2 - Prob. 2.4PCh. 2.2 - Prob. 2.5PCh. 2.2 - Prob. 2.6PCh. 2.2 - The pin-connected rigid rods AB and BC are...Ch. 2.2 - Prob. 2.8PCh. 2.2 - Prob. 2.9PCh. 2.2 - Prob. 2.10PCh. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - Prob. 2.13PCh. 2.2 - Prob. 2.14PCh. 2.2 - Prob. 2.15PCh. 2.2 - Prob. 2.16PCh. 2.2 - Prob. 2.17PCh. 2.2 - Determine the shear strain xy at corners A and B...Ch. 2.2 - Determine the shear strain xy at corners D and C...Ch. 2.2 - Determine the average normal strain that occurs...Ch. 2.2 - Prob. 2.21PCh. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - Prob. 2.25PCh. 2.2 - Prob. 2.26PCh. 2.2 - Prob. 2.27PCh. 2.2 - Prob. 2.28PCh. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - Prob. 2.31PCh. 2.2 - Prob. 2.32PCh. 2.2 - The fiber AB has a length L and orientation . If...Ch. 2.2 - If the normal strain is defined in reference to...
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- The average normal strain and half the maximum in-planeshear strain is determined from the circle as the coordinates. True or false?arrow_forwardDetermine the average normal strain along diagnol AB (in mm/mm).arrow_forwardThe ratio of linear strain to the lateral strain is called shear strain. Select one: True Falsearrow_forward
- A loading causes the wires to elongate into the dashed shape. Explain how to determine the normal strain PAB in wire AB. The displacement Δ and the distances between all lettered points are known.arrow_forwardProblem #3: Determine the shear strain yry at corners A and B if the plastic distorts as shown by the dashed line. 12 mm 4 mm 8 mm 3 mm 300 mm 2 mm D |A -400 mm- 5 mm using = newarrow_forwardThe ratio of shear stress to its strain is known as Modulus of elasticity. Select one: True Falsearrow_forward
- When the state of strain is represented by the principal strains, no shear strain will act on the element. True or False?arrow_forward1. Find the relationships between strain components in the polar coordinate and strain components in the rectangular coordinate.arrow_forward1. The plate below is attached to the vertical surface AB. Its top and bottom surfaces slide smoothly along the horizontal surfaces AD and BC, but are prevented from moving vertically. The plate can move freely in the z- direction (perpendicular to the page). The right side of the plate is uniformly pulled such that it displaces 0.8 mm to the right. The plate is aluminum, which has the following material properties: 150 nim Modulus of Elasticity = 88.5 GPa %3D 150 mum Fo.Bmm Modulus of Rigidity = 34 GPa %3D Poisson Ratio = 0.32 Determine the shear strain at point E relative to the xy axes. b. Determine the shear stress at point E relative to the xy axes. (If you are unable to solve part a, use shear strain = -0.02 radians.) %3Darrow_forward
- Determine the shear strain Y., at corners A and B if the plastic distorts as shown by the dashed lines SOLUTION Geometry: Referring to the geometry shown in Fie a the small.anoto ancheir mins 3 mm 300 mm 4 mm 12 mm B mm 8 mm mmarrow_forwardThe ratio of decrease in length to the original length is known as compressive strain. Select one: True Falsearrow_forwardWhen force P is applied to the rigid arm ABC, point B displaces vertically downward through a distance of 0.2 mm. Determine the normal strain in wire CD.arrow_forward
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