Why is it first necessary to relate the internal moment to the radius of the curvature of the elastic curve?

Q: A sheet of metal was deformed elastically under balanced biaxial tension (ox = Oy, 0z = 0) A. Derive…

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Q: strength of materials Derive the formula for the maximum shear and maximum bending moments for Case…

A: Solution:

Q: 2m 1.5 m 0.5 m 0.5 m 56m y A a.) A 1.5 m length of 30mm diameter solid steel bar fixed at one end is…

A: Given: The length of solid steel bar, L = 1.5 m The diameter of solid steel bar, d = 30 mm = 0.03 m…

Q: given material has a modulus of elasticity E= 250 GPa and shear modulus G= 83.5 GPa, what is the…

A: Modulus of elasticity, E=250 GPa Shear modulus, G=83.5 GPa

Q: Define Elastic Potential Energy.

A: Elastic Potential Energy- When a force is applied on a elastic member it store energy up to its…

Q: How can the displacement at specific points on the elastic curve be determined?

A: Beam undergoes two types of deviation while it is bending i.e. linear and angular. The linear…

Q: Provide 3 examples of practical engineering applications of Deformation of a beam under transverse…

A: example-1 deformation of cantilever beam due to transverse load; DEFORMATION AT THE END POINT DUE…

Q: Is the normal-strain distribution over the cross-section of a beam based on geometric…

A: It refers to the quantification of the adjustment or expansion a body undertakes when exposed to a…

Q: given material has a modulus of elasticity E= 200 GPa and shear modulus G= 83.5 GPa, what is the…

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Q: Do the Deformation, the longitudinal strain varies linearly from zero at the neutral axis to a…

A: Take an elemental section of infinitesimal length dx in a beam to analyse the deformation of fibres…

Q: Applying the flexure formula, how can we determine the position of the absolute maximum bending…

A: The flexure formula is used to calculate the normal stress in the beam due to bending moment applied…

Q: How can the equation of the elastic curve and its slope be obtained?

A: The equation of the elastic curve can be by equating the moment-curvature relationship and…

Q: Two polymers A and B are joined together with a radius of 9 cm. A uniform load of 156 MN was applied…

A: The range of the modulus of elasticity for the brittle materials is 80 to 140 GPa.

Q: Discuss a method for finding the equation of the elastic curve using a single expression?

A: Double integration method: The method which is used to find the deflection in the beam is double…

Q: Young's modulus of elasticity and Poisson's ratio of a material are 1.25×10^5 MPa and 0.34…

A: Given data: E=1.25×105 MPaμ=0.34 Need to determine the modulus of rigidity of the material.

Q: A steel rod with a diameter of 20 mm and a length of 1.5 m was applied with a torque T. The rod was…

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Q: Figure 1 shows a composite shaft ABCD acted upon horizontal forces. The moduli of elasticity and the…

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Q: What is the Poisson's ratio if the ratio of Young's modulus (E) to the shear modulus (G) is 2?

A: Given data,  The ratio of young's modulus and shear modulus is 2  ie E/G=2

Q: Why is Elastic Potential Energy always positive?

A: Elastic Potential Energy: This is the restoring force of a spring that acts accordingly with respect…

Q: A transverse force applied to a cantilever beam develops bending. Stress is within the elastic range…

A: The correct option is option A.

Q: If The section below is subjected to bending moment of 30kN.m (causing compression on the top fiber)…

A: Permissible stress is stress which produces due to pressure or forces which does not exceed the…

Q: Define the equation of the elastic curve?

A: The flexural formula of beam  MI=σy=ERwhere M is the bending moment I is the second moment of…

Q: How can we obtain the maximum bending stress using the flexure formula?

A: Let us understand this by an example. Consider a beam applied with external bending  moment M. This…

Q: strength of materials 1.) Derive the formula for the maximum shear and maximum bending moments for…

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Q: A rectangular strip of metal 5 mm thick is wound on a circular drum 1.4 m in diameter. If E for the…

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Q: Write the formulas to determine the maximum elastic shear stress?

A: The expression for the maximum elastic shear stress is given by, gmax=σ1-σ22    ……………1 Here, σ1 is…

Q: If the material behaves in a linear elastic manner, how does Hooke's law apply?

A: Hooke's Law states that stress is directly proportional to the strain within the proportional limit.…

Q: A cylindrical rod has initial dimensions of length ? = 4 m and radius ? = 1 cm. When the rod is…

A: Given data: The external force, P = 200 kN. The change in length, L'=4.024 m. The change in radius,…

Q: 1.What is the meaning of "strain"? What's the relationship between the strain and the deformation of…

A: Given:- Strain   To find:- Explain strain Relationship between strain and deformation

Q: A bar having a circular cross section of 3 in. diameter is subjected to a torque of 100 in. # kip.…

A: Given

Q: As a beam becomes longer, the strain energy due to bending becomes much larger than the strain…

A: It is true to note that the strain energy because of bending becomes larger than due to shear.

Q: 2.) When a beam 6 m long with a cross-sectional area of 19.4 cm2 is subjected to a compression force…

A: Given data: The length of the beam, L = 6 m. The area of the beam, A=19.4 cm2. The compression…

Q: Using Hooke’s law develop an equation that can be used to determine the elastic displacement?

A: Hooke's law says that when a material behaves elastically and exhibits a linear relationship between…

Q: Give an example of how to apply discontinuity functions to describe the loading or internal moment?

A: The Macaulay formula for any load/internal moment, using discontinuity function is:(x-a)n=0…

Q: b. Determine the elastic strain energy due to bending of the cantilevered beam as shown in Figure…

A: according to the given figure

Q: Determine the longitudinal stiffness of a beam of length 1 m, area of cross-section of 3 x 10^-4…

A: Given:- Length of the beam(L) = 1 m Cross sectional area (A) = 0.0003 m2  Young's modulus of…

Q: What is the origin of elasticity in material

A: Elasticity is defined as the ability of the material which is deformed to return its original shape…

Q: In determining the bending stress, what conclusion can be drawn if the neutral axis is an axis of…

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Q: A given material has Young's modulus E, modulus of rigidity Gand Poisson's ratio 0.25. The ratio of…

A: Given data : Youngs modulus=EModulus of rigidity =GPoisson ratioμ=0.25

Q: SOLVE THIS TABLE TOPIC ABOUT STRENGTH OF MATERIALS LABORATORY ?BENDING TEST SECOND STAGE Example:…

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Q: What is the strain energy density and how can it be expressed?

A: Strain energy is characterised as energy stored in the body as a result of deformation.

Q: A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200…

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Q: Interconnected rods up to 23.370 mm from the right end it's pulled and fixed. Length of Bar No, 1…

A: Given data: L1 = 3.3 m , A1 = 2.4 cm2 , σy1 = 215 MPa                    L2 = 4.9 m , A2 = 2.8 cm2 ,…

Q: Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a…

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.