Mechanics of Solid (CEE201) - Quiz-2 (Write your name and admission number at the end)
Date and time: 12.11.2022 and 8:05 AM – 8:35 AM (30 min), Total points: 10 (2 marks/question)
1. For the shaft shown in the figure, the angle of twist between A
and C is ____________ degrees. Take G=77.2 GPa
a) 2.147
b) 3.406
c) 1.145
d) 0.014
Ans:
2 The cross-section of a thin-walled tube of length l is a regular
a)
polygon with n sides. The mean centerline length s=na & wall
thickness is t. The tube is fixed at one end and at the other end twist b)
T is applied. The angle of twist ∅ of the section where the twist is
c)
applied is _____________.
d)
4𝑇𝑎
𝜋
𝑛𝐺𝑡𝑙 3 𝑐𝑜𝑡 2 (𝑛)
4𝑇𝑠
𝜋
𝑛𝐺𝑎𝑙 3 𝑐𝑜𝑡 2 (𝑛)
4𝑇𝑙
𝜋
𝑛𝐺𝑎𝑡 3 𝑡𝑎𝑛2 (𝑛)
4𝑇𝑙
𝜋
𝑛𝐺𝑡𝑎3 𝑐𝑜𝑡 2 (𝑛)
Ans:
3. A steel pressure vessel tank of 750 mm inner diameter and wall
thickness t=9 mm. The butt-welded seams form an angle 𝛽 = 50
a) 30.77
°
with the longitudinal axis as shown. If the gauge pressure inside the
vessel is 1.5 MPa then shear stress parallel to the weld is _____
b) 10.04
c) 15.39
d) 61.55
MPa. (consider thin cylinder formulation)
Ans:
4. A thick cylinder is subjected to an internal pressure of 50 MPa.
a) 100.33
The inner radius a=5cm and outer radius b=10 cm. There is no
external pressure acting on the cylinder. The sum of the radial and
circumferential stresses (i.e 𝜎𝑟 + 𝜎𝜃 ) at a radial distance r=7cm is
b) 49.33
c) 33.33
_______ MPa .
d) 50.67
(P.T.O)
Ans :
5. Given h=0.6 m and k= 30 kN/m for the figure shown below,
a) 45.0
and assuming that the rod OA is rigid and hinged at O, the critical
b) 50.0
load for the system is ______________ kN.
c) 30.0
d) 22.5
Ans:
Space for rough work:
Name:
Admission No: