Podcast
Questions and Answers
How does the location of maximum bending moment relate to shear force in a simply supported beam?
How does the location of maximum bending moment relate to shear force in a simply supported beam?
- It occurs at mid-span.
- It occurs at the support.
- It occurs at the fixed end.
- It occurs at the point of zero shear. (correct)
How is Young's modulus used to relate stress and strain in a material?
How is Young's modulus used to relate stress and strain in a material?
- It is calculated as strain divided by stress.
- It is calculated as stress minus strain.
- It is calculated as stress multiplied by strain.
- It is calculated as stress divided by strain. (correct)
What distinguishes a hollow shaft from a solid shaft of the same material and weight under torsion?
What distinguishes a hollow shaft from a solid shaft of the same material and weight under torsion?
- It is cheaper to manufacture.
- It has a greater torque capacity. (correct)
- It is more rigid.
- It is easier to balance.
How does the shear stress vary across the cross-section of a rectangular beam?
How does the shear stress vary across the cross-section of a rectangular beam?
What mechanical property defines a material's ability to be stretched into wires?
What mechanical property defines a material's ability to be stretched into wires?
According to Mohr’s Circle, what kind of stress does the radius represent?
According to Mohr’s Circle, what kind of stress does the radius represent?
What primary type of loading does a cantilever beam withstand?
What primary type of loading does a cantilever beam withstand?
How is the bending equation expressed in terms of moment (M), moment of inertia (I), bending stress ($\sigma$), distance from the neutral axis (y), Young's modulus (E), and radius of curvature (R)?
How is the bending equation expressed in terms of moment (M), moment of inertia (I), bending stress ($\sigma$), distance from the neutral axis (y), Young's modulus (E), and radius of curvature (R)?
Under what conditions is Euler's formula most applicable for calculating critical buckling load?
Under what conditions is Euler's formula most applicable for calculating critical buckling load?
In simple terms, what is the mathematical relationship between stress, load, and area?
In simple terms, what is the mathematical relationship between stress, load, and area?
How does hoop stress relate to longitudinal stress in thin cylinders under pressure?
How does hoop stress relate to longitudinal stress in thin cylinders under pressure?
What is the correct formula to calculate the moment of inertia of a rectangle about its base?
What is the correct formula to calculate the moment of inertia of a rectangle about its base?
How forces lead to torsion?
How forces lead to torsion?
What factor primarily influences the elongation of a bar of uniform cross-section under axial loading when its length is altered?
What factor primarily influences the elongation of a bar of uniform cross-section under axial loading when its length is altered?
What kind of failure is observed in ductile materials during a compression test?
What kind of failure is observed in ductile materials during a compression test?
What mechanical property is defined by the ratio of shear stress to shear strain?
What mechanical property is defined by the ratio of shear stress to shear strain?
Under what condition does mild steel behave, specifically at the yield point?
Under what condition does mild steel behave, specifically at the yield point?
The deflection in a cantilever beam is greatest at which of the following locations?
The deflection in a cantilever beam is greatest at which of the following locations?
For a circular shaft, how is the polar moment of inertia calculated in relation to its diameter?
For a circular shaft, how is the polar moment of inertia calculated in relation to its diameter?
Which theory is same as the maximum shear stress theory of failure?
Which theory is same as the maximum shear stress theory of failure?
Flashcards
What is Stress?
What is Stress?
Force per unit area within a material, expressed in N/m² (Pascals).
Modulus of Elasticity
Modulus of Elasticity
The ratio of stress to strain, indicating a material's stiffness.
Maximum Bending Moment
Maximum Bending Moment
Occurs where the shear force changes sign, indicating maximum bending.
Poisson's Ratio
Poisson's Ratio
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Bending Stress and Distance
Bending Stress and Distance
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Elastic Limit
Elastic Limit
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What is Elasticity?
What is Elasticity?
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Factor of Safety
Factor of Safety
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What is Torsion?
What is Torsion?
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Principal Stresses
Principal Stresses
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Mohr's Circle Radius
Mohr's Circle Radius
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What Does a Beam Do?
What Does a Beam Do?
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Torsional Rigidity
Torsional Rigidity
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Bending Equation
Bending Equation
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What is Creep?
What is Creep?
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Stress, Load and Area.
Stress, Load and Area.
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What is Elastic Behavior?
What is Elastic Behavior?
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Shear Stress in Torsion
Shear Stress in Torsion
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What is Impact Load?
What is Impact Load?
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What is Malleability?
What is Malleability?
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Study Notes
- Stress is measured in N/m².
- Modulus of Elasticity represents the ratio of stress to strain.
- In a simply supported beam, the maximum bending moment occurs where shear is zero.
- Poisson’s ratio is the ratio of lateral strain to longitudinal strain.
- Bending stress in a beam is directly proportional to the distance from the neutral axis.
- The elastic limit is the point on a stress-strain curve where it ceases to be linear.
- Young’s modulus is defined as stress divided by strain.
- For a bar loaded axially and uniformly, elongation is equal throughout.
- Mild steel exhibits plastic behavior after the yield point.
- A hollow shaft is preferred over a solid shaft because it has more torque capacity.
- Factor of safety is defined as ultimate stress divided by working stress.
- Shear stress distribution across a rectangular section is parabolic.
- The product of force and perpendicular distance is called moment.
- A ductile material can be drawn into wires.
- Principal stresses are the maximum and minimum normal stresses.
- Rigidity is not a mode of failure.
- In Mohr's Circle, the radius represents shear stress.
- Stress at the neutral axis in a bending beam is zero.
- A cantilever beam carries load primarily by bending.
- Torsional rigidity of a shaft is given by GJ.
- The bending equation is M/I = σ/y = E/R.
- Euler’s formula is applicable to long columns.
- A brittle material fails in tensile fracture.
- Stress equals load divided by area.
- Strain is unitless.
- Hoop stress in thin cylinders is twice the longitudinal stress.
- Beyond the elastic limit, a material does not return to its original shape.
- The moment of inertia of a rectangle about its base is bd³/3.
- Bending moment at a simply supported beam with center point load is PL/4.
- Torsion occurs when a twisting moment is applied.
- For pure torsion, the maximum shear stress occurs at the surface.
- If length is doubled, elongation doubles.
- Creep is time-dependent deformation.
- In a compression test, ductile materials fail by buckling.
- The ratio of lateral strain to longitudinal strain is called Poisson's ratio.
- Shear modulus is the ratio of shear stress to shear strain.
- The neutral axis is where stress is zero.
- Mild steel shows a sharp yield point.
- Rankine’s formula is used for columns.
- Deflection in cantilever beam is maximum at the free end.
- The strain energy stored in a body due to deformation is called resilience.
- For a circular shaft, polar moment of inertia is πd⁴/32.
- When a beam is under pure bending, shear force is zero.
- Maximum shear stress theory is also called Tresca theory.
- The safe stress used in design is called working stress.
- In uniaxial loading, the maximum strain occurs along the loading direction.
- The SI unit of Young’s modulus is Pascal.
- Section modulus is the ratio of moment of inertia to the distance from the neutral axis.
- Malleability allows a material to be rolled into thin sheets.
- Impact energy is the strain energy stored during sudden loading.
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