Quiz Solution 48331 MOS Autumn 2021 PDF

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Quiz - 48331-Mechanics of Solids - Autumn 2021Question 1 (7 marks)A plastic bar ACB having two different solid circular sections is held between rigid supports as shown in the figure. The diameters in the left- and right-hand parts are 50 mm and 75 mm, respectively. The corresponding lengths are 230...

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Quiz - 48331-Mechanics of Solids Question 1

Autumn 2021 (7.5 marks)

A plastic bar ACB having two different solid circular sections is held between rigid supports as shown in the figure. The diameters in the left- and right-hand parts are 50 mm and 75 mm, respectively. The corresponding lengths are 230 mm and 320 mm. The modulus of elasticity E is 6 GPa & the coefficient of thermal expansion α is 10-4 /0C. The bar is subjected to uniform temperature increase of 300C. Determine: i. maximum compressive stress in the bar. ii.

displacement of point C.

Question 2

(7.5 marks)

Determine the moment M that will produce a maximum stress of 70 MPa on the crosssection.

M= 13.53 kN.m Question 3

(7.5 marks)

Determine all the reactions and draw the a) Shear force Diagram b) Bending moment diagram Given : a=2m w = 10 kN/m w2= 10 kN/m P = 20 kN

Question 4

(7.5 marks)

An inverted T beam (refer to the Figure 4(a)) manufactured from material with the given stress and strain curve (for tension and compression) as shown in Figure 4 (b) . The cross section is subjected to bending moment such that ε= 0.0024 on the extreme fibre in compression. Determine (a) bending moment on the section (b) curvature of the beam. Assume the location of the neutral axis at 60mm from the bottom surface of the beam. Assume the section above the neutral axis in tension...