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Strength Of Materials Question Paper - Dec 18 - Mechanical Engineering (Semester 3) - Mumbai University (MU)
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rutujakhilari12345
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Strength Of Materials - Dec 18
Mechanical Engineering (Semester 3)
Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.
Answer any four
1.a.
A bar of 20mm diameter is subjected to a pull of 50kN. The measured extension over a gauge length of 20cm is 0.1mm and the change in diameter is 0.0035mm calculated the Poisson's ratio and modulus of elasticity.
(5 marks)
00
1.b.
A short column 200mm x 100mm is subjected to an eccentric load of 60kN at an eccentricity of 40mm in the plane bisecting the 100mm side.Find maximum and minimum intensities of stresses at the base.
(5 marks)
00
1.c.
A M.S plate is 400mm long 200mm wide and 50mm thick is subjected to gradually tensile load 1200kN calculate i)proof resilience ii)modulus of resilience take $E=200 \times 10^3 MPa$.
(5 marks)
00
1.d.
State torsion formula explain meaning of each term.Also state Assumptions made in theory of torsion.
(5 marks)
00
1.e.
A cantilever beam 4m span carrying udl of 5kN/m and permissible bending stress in the material of beam is $15N/mm^2$.Design the section of beam if depth to width ratio is 2.
(5 marks)
00
1.f.
State Assumption made in theory of bending also state bending formula.
(5 marks)
00
2.a.
A wagon weighing 35kN is attacked to a wire rope and moving down an incline plane at speed of 3.6kmph. When the rope jams and wagon is suddenly brought to rest.If the length of rope is 60m. at the time sudden stoppage. Calculate the maximum instantaneous stress and maximum instantaneous elongation produced diameter of rope is 40mm. take $E=2.1 \times 10^5N/mm^2$.
(10 marks)
00
2.b.
A compund tube consists of a steel tube of 140mm ID and 160mm OD and an outer brass tube of 160mm ID and 180mm OD.Both the tube are 1.5 m in length. If the compound tube carries an axial compressive load of 900kN. find its reduction in length also find stresses the load carried by each tube $E_{s}=200GN/m^2 E_{b}=1\times 10^5 N/mm^2$.
(10 marks)
00
3.a.
At a certain point in a strained materials $\sigma = 100 \ MPa(T), \ \sigma = 40 \ MPa(T)$,and shear stress $\tau = 30 MPa$.Locate the principle planes and evaluate the principal stresses .Also find the maximum shear stress and the plane carrying it.Use Mohr's circle method.
(10 marks)
00
3.b.
Draw SF and BM diagram for beam shown with B as internal hinge.
(10 marks)
00
4.a.
A hollow shaft of diameter ratio $3/8(d_i \ to \ d_o)$ is to transmit 375KW power at 100rpm, the maximum torque being 20% greater than the mean the shear stress is not to exceed than $60 N/mm^2$ and twist in a length of 4m not to exceed $2^0$, calculate its external and internal diameter which would satisfy both the above condition take $G=0.85 \times10^5N/mm^2$
(10 marks)
00
4.b.
A cylindrical shell one meter in diameter and 3 m long has a thickness of 10 mm if it is subjected to an internal pressure of $3N/mm^2$. calculate change in length, change in diameter ,change in volume.Take $E=210kN/mm^2$ and $\mu = 0.3$
(10 marks)
00
5.a.
Find the stresses in the wires of system made of two copper wire and one steel wire of equal length and $65mm^2$ cross sectional area the load of 18kN is attached to it.The temperature of the system rises by $10^0C$ assume $\alpha_c = 16 \times 10^{-6}/^0 C$, $E_c= 110kN/mm^2$
(10 marks)
00
5.b.
Determine the deflection at B and slope at D for simply supported beam as shown.Also find the max.deflection and its location take $E=200 GN/m^2$ and $I= 300 \times10^8mm^4$.
(10 marks)
00
6.a. A hollow cylindrical CI column is 4m long with both ends fixed.Determine the minimum diameter of the column. if it has to carry a safe load of 250kN with a FOS of 5.Take internal diameter as 0.8 times the external diameter $E= 200GN/m^2$. (10 marks) 00
6.b.
A simply supported beam of length 3m and cross section of 100mm x 200mm carrying a udl of 4kN/m neglecting the weight of bean find
(10 marks)
00
1.Max ,bending stress in beam.
2.Max,shear stress in the beam
3.The shear at a point 1m to the right of the left support and 25mm below the top surface of beam.
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