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# Mechanical Structures Analysis Quiz

Created by
@NourishingGreen

Length = 6.67 m

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

$b = 0.4 m$, $d = 0.6 m$

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

$\tau_{max} = 6.67 MPa$

### 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</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>$\delta_1 = -0.0056 m$, $\delta_2 = -0.0036 m$</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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