Homework Answers
here it is said that the material is perfectly plastic so there is no strain hardening is taking place, so stress-strain curve in the plastic region is a straight line.
a)Stress srain curve is linear in elastic region and straight line in plastic region since there is no strain hardening effect.
b)here sigma z iszero, but due to poisons effect there is reduction in thickness.
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1. (25 pts) The Prandtd-Reuss model is applicable to an isotropic, elastic-perfectly plastic material. A thin...
2. [5 pts] Show that for an isotropic linear elastic material subjected to a biaxial stress...
2. [5 pts] Show that for an isotropic linear elastic material subjected to a biaxial stress state, the relationship between stress and strain is such that: Of = (x+vey)}; Oy = (byt veze; O Txy = 207vs Yxy 1-12 1-12 1 Ιαν
Problem 4. 6–165. The beam is made of elastic-perfectly plastic material. Determine the maximum elastic moment...
Problem 4. 6–165. The beam is made of elastic-perfectly plastic material. Determine the maximum elastic moment and the plastic moment that can be applied to the cross section. Take Ty = 36 ksi. 6 in. 1.5 in. 3 in. 1.5 in.
The beam shown in the figure below (Figure 1) is made of elastic perfectly plastic material...
The beam shown in the figure below (Figure 1) is made of elastic
perfectly plastic material for which σY = 395 MPa .
A)Determine the maximum elastic moment that can be applied to
the cross section.
Express your answer to three significant figures and include
appropriate units.
B)Determine the maximum elastic moment that can be applied to
the cross section.
Express your answer to three significant figures and include
appropriate units.
100 mm 100 mm 100 mm 100 mm 100...
Page 5 ofs Question2 (10 pts.) The stress-strain curve for a nonlinear, perfectly elastic material is...
Page 5 ofs Question2 (10 pts.) The stress-strain curve for a nonlinear, perfectly elastic material is shown below. A sample of the material is loaded until the stress reaches the value at Point B, after which the sample is unloaded to zero stress. What is the approximate permanent deformation in material? (MPa) 125 100 75ト 50 25 A 5 10 15 20 25 30 35 40 (x 10-4) (A) 0 (B) 0.001 (C) 0.002 (D) 0.003 Support your answers with...
Orthotropic Material 3. (20 pts) Suppose we have a thin composite material comprised of unidirectional graphite...
Orthotropic Material 3. (20 pts) Suppose we have a thin composite material comprised of unidirectional graphite fibers in an epoxy matrix. The ply is loaded in uniaxial tension in the x direction. Plane stress conditions can be assumed. The ply is oriented at an angle 0 from the x axis as shown. Material properties for this material (which may be assumed to be orthotropic) are given in the following figure. T300/934 ET= 9.65 GPa a) (8 pts) Given θ-200, find...
2. [5 pts] Show that for an isotropic linear elastic material subjected to a biaxial stress state, the relationship between stress and strain is such that: Of = (x+vey)}; Oy = (byt veze; O Txy = 207vs Yxy 1-12 1-12 1 Ιαν
Problem 4. 6–165. The beam is made of elastic-perfectly plastic material. Determine the maximum elastic moment and the plastic moment that can be applied to the cross section. Take Ty = 36 ksi. 6 in. 1.5 in. 3 in. 1.5 in.
The beam shown in the figure below (Figure 1) is made of elastic
perfectly plastic material for which σY = 395 MPa .
A)Determine the maximum elastic moment that can be applied to
the cross section.
Express your answer to three significant figures and include
appropriate units.
B)Determine the maximum elastic moment that can be applied to
the cross section.
Express your answer to three significant figures and include
appropriate units.
100 mm 100 mm 100 mm 100 mm 100...
Page 5 ofs Question2 (10 pts.) The stress-strain curve for a nonlinear, perfectly elastic material is shown below. A sample of the material is loaded until the stress reaches the value at Point B, after which the sample is unloaded to zero stress. What is the approximate permanent deformation in material? (MPa) 125 100 75ト 50 25 A 5 10 15 20 25 30 35 40 (x 10-4) (A) 0 (B) 0.001 (C) 0.002 (D) 0.003 Support your answers with...
Orthotropic Material 3. (20 pts) Suppose we have a thin composite material comprised of unidirectional graphite fibers in an epoxy matrix. The ply is loaded in uniaxial tension in the x direction. Plane stress conditions can be assumed. The ply is oriented at an angle 0 from the x axis as shown. Material properties for this material (which may be assumed to be orthotropic) are given in the following figure. T300/934 ET= 9.65 GPa a) (8 pts) Given θ-200, find...
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