Force Equilibrium and Compatibility of Strain in Composite Materials

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18 Questions

What type of forces are compressive and tensile forces?

Direct forces

Which of the following is NOT a reason for solid mechanics being a vast subject?

Limited applications

What happens to a body under a compressive force?

It gets shorter

Which type of stress is defined as the force per unit area perpendicular to which it acts?

Normal stress

How does normal stress arise?

From uniformly applied direct forces

What is the concept used to obtain the distribution of force acting over a sectioned area?

$\sigma=P/A$

What type of stress is maximum on a bar in tension?

Zero shear stress and maximum normal stress

When considering stress elements, how many basic states of stress exist at a point in a stressed body?

One

How are the force components resolved on an inclined section through a bar?

Normal and shear forces

What is the relationship between the force components and the inclined plane in stress analysis?

Force components are tangent to the inclined plane

In terms of the rotated coordinate system x1y1, when may a material yield or fail?

At any angle other than 90 degrees

How are stresses distributed on inclined sections in a bar?

Uniformly distributed throughout the bar

What is the relationship between the strains of the concrete block and the steel bar in a composite material?

They are equal: ε1 = ε2

In force equilibrium for a composite material, what does F = F1 + F2 represent?

Resultant force of the composite material

What assumption leads to the shortening being the same inside material 1 and material 2?

Perfect bonding assumption

In Example 9, what is the expression for σs in terms of Ec and σc?

(Ec σc) / Pc

What is the condition for plane stress in the xy plane for a 3D element?

σz = 0 and τzx = τxz ≠ 0, τZY = τYZ = 0

What is the main purpose of representing stresses using stress elements?

To simplify stress analysis

This quiz covers concepts related to force equilibrium and compatibility of strain in composite materials. Topics include understanding the relationship between forces, stresses, areas, and material properties in a composite system. Example problems involving concrete blocks and steel bars are also included.

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