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.

  • 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= â…” 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.

<p>Maximum stress = 320 N/mm2 (B)</p> 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 = $18 \times 10^8 mm^4$.

<p>$\delta_1 = -0.0056 m$, $\delta_2 = -0.0036 m$ (C)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

How are the viscoelastic properties of polymers modeled mechanically?

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

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