Mechanical Structures Analysis Quiz

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For the beam with a rectangular section and maximum stress of 120 N/mm2, and moment of inertia of 7 X 10^8 mm4, find the length of the beam carrying a uniformly distributed load of 40 kN/m.

Length = 8.33 m

Length = 10 m

Length = 6.67 m (correct)

Length = 12 m

For the timber beam with a rectangular section, if b= ⅔ d, find the value of b and d.

$b = 0.4 m$, $d = 0.6 m$ (correct)

$b = 1.5 m$, $d = 2.25 m$

$b = 2 m$, $d = 3 m$

$b = 0.6 m$, $d = 0.9 m$

For the I section beam with a shear force of 40 kN, calculate the maximum shear stress developed.

$\tau_{max} = 6.67 MPa$ (correct)

$\tau_{max} = 8.33 MPa$

$\tau_{max} = 10 MPa$

$\tau_{max} = 12 MPa$

For the rolled steel joist of I-section carrying a U.D.L of 40 KN/m on a span of 10 m, calculate the maximum stress produced due to bending.

Maximum stress = 320 N/mm2 Signup and view all the answers

For the simply supported beam carrying concentrated loads of 100 KN and 60 KN at distances of 2 m and 5 m respectively from the left end, calculate the deflection under each load using E =200 GPa and I = $18 \times 10^8 mm^4$.

$\delta_1 = -0.0056 m$, $\delta_2 = -0.0036 m$ Signup and view all the answers

What is dynamic mechanical analysis (DMA) used to study and characterize?

It is used to study and characterize the viscoelastic behavior of materials, particularly polymers. Signup and view all the answers

How is the complex modulus of a material determined in dynamic mechanical analysis?

A sinusoidal stress is applied and the resulting strain in the material is measured. Signup and view all the answers

What variations in the complex modulus can be observed in dynamic mechanical analysis?

Variations in the complex modulus can be observed when the temperature of the sample or the frequency of the stress are varied. Signup and view all the answers

What can dynamic mechanical analysis be used to identify in materials?

It can be used to locate the glass transition temperature of the material, as well as to identify transitions corresponding to other molecular motions. Signup and view all the answers

How are the viscoelastic properties of polymers modeled mechanically?

The solidlike and liquidlike behavior of polymers can be modeled mechanically with combinations of springs and dashpots. Signup and view all the answers

Mechanical Structures Analysis Quiz

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Questions and Answers

For the beam with a rectangular section and maximum stress of 120 N/mm2, and moment of inertia of 7 X 10^8 mm4, find the length of the beam carrying a uniformly distributed load of 40 kN/m.

For the timber beam with a rectangular section, if b= ⅔ d, find the value of b and d.

For the I section beam with a shear force of 40 kN, calculate the maximum shear stress developed.

For the rolled steel joist of I-section carrying a U.D.L of 40 KN/m on a span of 10 m, calculate the maximum stress produced due to bending.

For the simply supported beam carrying concentrated loads of 100 KN and 60 KN at distances of 2 m and 5 m respectively from the left end, calculate the deflection under each load using E =200 GPa and I = $18 \times 10^8 mm^4$.

What is dynamic mechanical analysis (DMA) used to study and characterize?

How is the complex modulus of a material determined in dynamic mechanical analysis?

What variations in the complex modulus can be observed in dynamic mechanical analysis?

What can dynamic mechanical analysis be used to identify in materials?

How are the viscoelastic properties of polymers modeled mechanically?

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