Assignment 2 –Mechanics of Solids · Web viewAssignment 2 –Mechanics of Solids 3 Instruction to...

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Assignment 2 –Mechanics of Solids 1: The cantilevered beam is subjected to the load at its end shown in figure below. Determine: a) Principal stresses and the angle of plane in the beam at point A & B by analytical method. b) Principal stresses and the angle of plane in the beam at point A & B by graphical method. (Construct Mohr’s Circle) 1 Instruction to solve and submit this assignment: 1.This assignment is due on 20 th October 2012 and carries 15 marks to the total assessment. 2. Each problem carries 10 marks and the total score will be rationalised to 15 marks 3. Maximum 3 students in a group can submit this assignment. 4. Apply Last 2 digits of your student numbers for load case marked XXX. 5. Apply 2 different student numbers for problems 1& 2.

Transcript of Assignment 2 –Mechanics of Solids · Web viewAssignment 2 –Mechanics of Solids 3 Instruction to...

Page 1: Assignment 2 –Mechanics of Solids · Web viewAssignment 2 –Mechanics of Solids 3 Instruction to s olve and submit this assignment: 1.This assignment is due on 20th October 2012

Assignment 2 –Mechanics of Solids

1: The cantilevered beam is subjected to the load at its end shown in figure

below.

Determine:

a) Principal stresses and the angle of plane in the beam at point A & B by analytical method.b) Principal stresses and the angle of plane in the beam at

point A & B by graphical method.(Construct Mohr’s Circle)

1 Instruction to solve and submit this assignment:1.This assignment is due on 20th October 2012 and carries 15 marks to the total assessment.2. Each problem carries 10 marks and the total score will be rationalised to 15 marks3. Maximum 3 students in a group can submit this assignment.4. Apply Last 2 digits of your student numbers for load case marked XXX.5. Apply 2 different student numbers for problems 1& 2.

Page 2: Assignment 2 –Mechanics of Solids · Web viewAssignment 2 –Mechanics of Solids 3 Instruction to s olve and submit this assignment: 1.This assignment is due on 20th October 2012

Assignment 2 –Mechanics of Solids

2. The shaft is supported at A by a journal bearing that exerts only vertical reaction

on the Shaft and at B by a thrust bearing that exerts both horizontal and vertical

reactions on the shaft, draw the bending moment diagram for the shaft and then

from this diagram sketch the deflection or elastic curve for the shaft’s centre line.

Determine: The deflection at x1 = x2 = 100mm and assume E= 200 GPa and

diameter of the shaft is 20 mm, as shown in the figure below.

2 Instruction to solve and submit this assignment:1.This assignment is due on 20th October 2012 and carries 15 marks to the total assessment.2. Each problem carries 10 marks and the total score will be rationalised to 15 marks3. Maximum 3 students in a group can submit this assignment.4. Apply Last 2 digits of your student numbers for load case marked XXX.5. Apply 2 different student numbers for problems 1& 2.

Page 3: Assignment 2 –Mechanics of Solids · Web viewAssignment 2 –Mechanics of Solids 3 Instruction to s olve and submit this assignment: 1.This assignment is due on 20th October 2012

Assignment 2 –Mechanics of Solids

3. The steel bar AB has rectangular cross section. If it is pin connected at its ends,

Determine: The maximum allowable intensity ‘w’ of the distributed load that can be

applied to BC without causing the bar AB to buckle. Use factor of

safety with respect to buckling F.S.= 1.5, Est =200 GPa,

σy= 360 MPa.

3 Instruction to solve and submit this assignment:1.This assignment is due on 20th October 2012 and carries 15 marks to the total assessment.2. Each problem carries 10 marks and the total score will be rationalised to 15 marks3. Maximum 3 students in a group can submit this assignment.4. Apply Last 2 digits of your student numbers for load case marked XXX.5. Apply 2 different student numbers for problems 1& 2.