Physics Test On Modulus Of Elasticity! Trivia Quiz

The angle of the principal direction of stress for a torsion specimen being 45 degrees to the specimen's longitudinal axis means that the maximum shear stress occurs at a 45-degree angle to the longitudinal axis. This is true because in torsion, the shear stress is maximum at a 45-degree angle to the axis of the shaft.

Aluminum is a material with ductile behavior because it can be easily stretched or bent without breaking. Ductility is a property of materials that allows them to be deformed under tensile stress, and aluminum is known for its high ductility. This property makes aluminum suitable for various applications, such as in construction, automotive, and aerospace industries, where materials need to withstand deformation without fracturing.

The given correct answer is true because it directly states that the statement is indeed true.

10 mm diameter

For linear materials

Constant moment area means zero stress

In the elastic region, materials can be stretched or compressed without causing any permanent deformation. This means that once the applied force is removed, the material will return to its original shape and size. Therefore, it is true that no permanent deformation occurs in the elastic region in tension.

Materials that fail catastrophically in the elastic region of a tensile test are known as brittle. This means that when these materials are subjected to stress, they do not exhibit significant plastic deformation and instead fracture suddenly and without warning. This behavior is characteristic of brittle materials such as glass or cast iron, which do not have the ability to absorb energy and deform plastically before breaking.

In the plastic region, the material undergoes permanent deformation when subjected to tension. This means that even after the load is removed, the material will not return to its original shape. This is in contrast to the elastic region, where the material can undergo temporary deformation and return to its original shape once the load is removed. Therefore, it is true that there is permanent damage in the plastic region for tension.

Ductile fractures occur in materials that are capable of undergoing plastic deformation before failure. When a material is subjected to tension, it experiences stress in a specific direction. In the case of ductile fractures, the failure occurs at an angle of 45 degrees to the principle direction of stress. This is because the material undergoes significant plastic deformation and necking before it finally fractures. The 45-degree angle is a characteristic feature of ductile fractures and is observed in many materials, including metals. Therefore, the statement is true.

In four-point bending, the specimen is subjected to a bending moment that causes the top of the specimen to be compressed and the bottom to be stretched, resulting in tension. This is because the load is applied at two points on the top surface of the specimen, creating a downward force that causes compression on the top, while the bottom surface experiences an upward force, resulting in tension. Therefore, the statement that the top of the specimen is in compression and the bottom is in tension is true for four-point bending.

no material constants in the equation

Also know that the end once they return to a uniaxial state of stress.

Mill scale is a dark oxide layer that forms on the surface of steel during the hot rolling process. It is a byproduct of the steel manufacturing process and consists of iron oxides. Therefore, it is true that steel can have mill scale on the specimen.

Kt values of about 1 are insensitive

Rockwell Hardness is a measure of a material's resistance to indentation. When performing the test on curved surfaces, the curvature can affect the accuracy of the measurement. The curvature can cause uneven distribution of the applied force, leading to inconsistent results. Therefore, a correction is necessary to account for the curvature and obtain accurate Rockwell Hardness readings on curved surfaces.

The upper point is unstable.

In the elastic region, when a material is subjected to tension, the stress state is uniform. This means that the stress is evenly distributed throughout the material, resulting in a uniform deformation. This is because the material is still within its elastic limit, where it can deform reversibly and return to its original shape once the load is removed. Therefore, the given statement is true.

In tension, brittle fractures occur at a 90-degree angle to the principle direction of stress. This means that when a brittle material is subjected to tension, it tends to break perpendicular to the applied force. This behavior is characteristic of materials that have low ductility and high stiffness, such as ceramics or certain types of metals. The 90-degree angle of failure is due to the nature of the atomic bonds in these materials, which are unable to deform and instead fracture when subjected to tension.

When a material has a cup-cone fracture, it means that during the tension test, the material experienced shear failure. In a tension test, a material is subjected to a tensile force, and if the material fails in shear, it indicates that the material could not withstand the applied force and fractured along a shear plane. This type of fracture is characterized by a cup-shaped depression on one side of the fracture surface and a cone-shaped protrusion on the other side. Therefore, the statement "When a material has a cup-cone fracture, it means it has failed in shear for the tension test" is true.

The modulus of rupture is indeed an estimate of the ultimate strength for materials that did not break in four-point bending. This means that if a material did not fracture or break when subjected to a four-point bending test, the modulus of rupture can be used as an approximation of its ultimate strength. Therefore, the statement "The Modulus of Rupture is an estimate of ultimate strength for materials that did not break in four-point bending" is true.

The "orange peel" effect refers to a surface texture that resembles the bumpy and uneven texture of an orange peel. Aluminum can experience this effect on deformed surfaces, meaning that when aluminum is deformed or shaped, it can develop a textured surface that resembles the texture of an orange peel. Therefore, the statement "Aluminum experiences an 'orange peel' effect on deformed surfaces" is true.

The statement is true because in compression, the stress is distributed uniformly across the material, meaning that the force is evenly spread out. Additionally, there is a uniaxial state of stress, which means that the stress is applied in only one direction. This remains true until buckling occurs, which is when the material starts to bend or collapse under the compressive force.

Small radius notches have higher stress concentrations because they create a sharp change in geometry, leading to a localized increase in stress. This is due to the stress being concentrated at the tip of the notch, resulting in a higher stress concentration factor compared to larger radius notches. As a result, smaller radius notches are more likely to experience failure or fracture under stress.

Steel is known for its high ductility, which means it can be stretched or deformed without breaking. When subjected to tension or pulling forces, steel can elongate significantly before reaching its breaking point. This property makes steel an excellent material for structural applications, as it can absorb energy and withstand loads without sudden failure. Therefore, the statement that steel behaves ductile in tension is correct.

Brinell

Yielding refers to the deformation or bending of a material under stress without fracturing or breaking. It is considered a type of failure because the material does not retain its original shape or strength when subjected to excessive stress. This can lead to structural instability or compromised performance, making it a form of failure in engineering and materials science.

They are unrelated

Switch the two

Actually more useful on heterogeneous materials

Uniform prior to necking but not after

Not all necessarily related

Need to use secant modulus which implies nonlinear

This statement is false. Materials that are ductile in tension generally exhibit ductile behavior in torsion as well. Ductility refers to the ability of a material to deform plastically without fracturing. If a material is ductile in tension, it means it can undergo significant plastic deformation before breaking. This characteristic is usually consistent across different types of loading, including torsion. Therefore, materials that are ductile in tension are also likely to exhibit ductile behavior in torsion.

This is found in the elastic region.

Assume uniform deformation

Think stacks of paper

It is in relation to the depth of indentation

As Kt decreases

The statement is false because the elastic modulus can be found for both materials with linear relationships and materials with non-linear relationships. The elastic modulus is a measure of a material's stiffness and its ability to deform under stress. It is applicable to a wide range of materials, including both linear and non-linear materials. Therefore, the statement that elastic modulus can only be found for materials with linear relationships is incorrect.

Secant Modulus

It would get smaller in the other direction

PMMA, or polymethyl methacrylate, is a type of plastic that is commonly used in various applications. It is known for its high impact resistance and is often used as a substitute for glass. However, PMMA is not particularly sensitive to notches in compression. In fact, it is more sensitive to notches in tension. This means that when PMMA is subjected to a tensile force, such as stretching or pulling, a notch or crack in the material is more likely to propagate and cause failure. Therefore, the correct answer is false.

In torsion testing, the volume of the material remains constant. Torsion testing involves twisting a specimen to measure its resistance to twisting forces. During this process, the material experiences shear stress and strain, but there is no change in volume. Therefore, the statement that there is a volume change in torsion testing is false.

Reverse

Low load, low energy

Cast iron is a heterogeneous material because it is composed of multiple phases, including iron and carbon. The carbon is present in the form of graphite flakes or nodules, which are dispersed throughout the iron matrix. This non-uniform distribution of carbon gives cast iron its characteristic properties, such as high strength and wear resistance. Additionally, cast iron may contain other elements and impurities that further contribute to its heterogeneity.