7 5) For the Drucker-Prager and the Mohr-Colomb failurecriteria, if the identical limit stress state is determined inthe tensile meridian, show that two sets of the parametercan be related by the following relations:2 sinỠ₁α=9Į₁₂ =const.√√3 (3+ sin 6)6c cos pk√3(3+sin p)ỗ3Deviatoric plane160O=

STEP 1 - In this question ,show how α &k are related with Mohr-coulomb and Drucker –prager…

Answered: show that two sets oI U

Engineering

Civil Engineering

show that two sets oI U

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Types of Composite

Composite materials are formed by merging two components that have different chemical and physical properties. The merged output is termed as a composite, whose properties are completely different from the individual components. Composite materials also have better strength than the individual components.Composite materials usually have two main parts, reinforcement material, and matrix material. The matrix material acts as a binder and surrounds the fiber of another material that bears a much higher strength. This material is known as the reinforcement material. The matrix materials are usually high-strength additives resins, while the fibers of the reinforced material can be random, oriented, and in a mat format.Composite materials are also known as fiber-reinforced composite polymers because they are composed of the polymer matrix which is reinforced to laboratory-created fibers or naturally occurring fibers, such as glass fibers, carbon fibers, or aramid fibers. Under the application of external loads, the matrix material absorbs and transfers the loads to the fibers, these fibers in return provide good compressive strength, tensile strength, and stiffness to the fiber-reinforced composite materials.Depending upon the matrix and the reinforcement material, different properties can be induced to the fiber-reinforced composite materials, including good corrosion resistance properties. The most common matrix material is the resin while the glass fibers act as the reinforcement material. Strong fibers provide strength and stiffness to the composite materials while, a soft and flexible resin provides shape to the composite materials.

Question

5) For the Drucker-Prager and the Mohr-Colomb failure
criteria, if the identical limit stress state is determined in
the tensile meridian, show that two sets of the parameter
can be related by the following relations:
2 sin
Ỡ₁
α=
9
Į₁₂ =const.
√√3 (3+ sin 6)
6c cos p
k
√3(3+sin p)
ỗ3
Deviatoric plane
16
0
O
=

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