course: maae 2202 bc name: philip okotete€¦ · a) the maximum shear stress is less in section ab...

NAME: Philip Okotete COURSE: MAAE 2202 BC

MOCK EXAM (FOR PRACTICE ONLY)

It is most beneficial to you to write this mock midterm UNDER EXAM CONDITIONS. This

means:

• Complete the midterm in 3 hour(s). • Work on your own. • Keep your notes and textbook closed. • Attempt every question.

After the time limit, go back over your work with a different colour or on a separate piece of

paper and try to do the questions you are unsure of. Record your ideas in the margins to remind

yourself of what you were thinking when you take it up at PASS.

The purpose of this mock exam is to give you practice answering questions in a timed setting

and to help you to gauge which aspects of the course content you know well and which are in

need of further development and review. Use this mock exam as a learning tool in preparing

for the actual exam.

Please note:

• Come to the PASS workshop with your mock exam complete. During the workshop you

can work with other students to review your work.

• Often, there is not enough time to review the entire exam in the PASS workshop. Decide

which questions you most want to review – the Facilitator may ask students to vote on

which questions they want to discuss in detail.

• Facilitators do not bring copies of the mock exam to the session. Please print out and

complete the exam before you attend.

• Facilitators do not produce or distribute an answer key for mock exams.

Facilitators help students to work together to compare and assess the answers they

have. If you are not able to attend the PASS workshop, you can work alone or with

others in the class.

Good Luck writing the Mock Exam!!

Dates and locations of mock exam take-up:

Details for Mock Final: Friday 17th April 2020 (1pm - 4pm)

Details for Office hours: Friday 17th April 2020 (4:30pm - 6:30pm)



Question 1:

Multiple Choice Questions (Answer will be only one among A to D for each sub-question)

1) The mechanism below is pinned at points A, B, C, and D. To determine the internal reactions at plane a-a, which of the following FBDs is correct?

(A)

(B)

(C)

(D)



2) Which of the following statements about volumetric strain is correct?

a. Volume is conserved for a solid body under three-dimensional stress.

b. Volumetric strain is the sum of the deformations in each axial direction.

c. Volumetric strain is associated with shear strains.

d. Volumetric strain can be calculated using the bulk modulus for a body under hydrostatic

stress.

3) The diagram below shows a load of 500 lb supported by 4 steel wires attached to two rigid

bars DC and AB. Which statement is incorrect?

a) The internal force in bar DE is greater than in bar CF

b) The internal force in bar BG is greater than in bar DE

c) The deformation in bar DE is 1.5 times the deformation at

point H.

d) The deformation in bar BG is 2 times the deformation at

point I.

4) A bar consists of a circular steel core surrounded by a brass tube and an aluminum tube

with rigid plates at each end, as shown below. If load P is applied on the end plates, which

statement is incorrect about the following system?

a) It is a statically indeterminate system

b) The aluminum, brass, and steel components will

experience the same vertical deformation

c) The aluminum, brass, and steel components will

experience the same load.

d) The system can be solved using force equilibrium and

deformation compatibility.



5) For this system with shaft with constant thickness, which statement is false?

a) The maximum shear stress is less in section AB than in section BC

b) The torque in section CD is 10 N.m

c) Section CD has the lowest twist angle

d) The resultant torque in the system is zero

6) A solid shaft and a hollow shaft are made from the same material, have the same outer

diameter and the same length. If they are subjected to the same torque load, which of the

following statements is true?

a) Solid shaft has a smaller maximum shear stress and a smaller maximum twisting angle

b) Solid shaft has a greater maximum shear stress and a greater maximum twisting angle

c) Solid shaft has greater maximum shear stress but a smaller maximum twisting angle

d) Solid shaft has a smaller maximum shear stress but a greater maximum twisting angle

7) For the loaded beam, which of the following statements is incorrect?

a) Shear forces at the two supports are equal in magnitude

b) Bending moments at the two supports are zero

c) Maximum bending stress (normal stress) occurs at the middle section of the beam

d) Maximum shear stress occurs at the middle section of the beam



8) Which shear force and bending moment diagrams are correct for the following beam?

(A)

(D) (C)

(B)



9) For the given cantilever beam below, which of the following statements is incorrect?

a) Shear stress is zero everywhere within the beam.

b) The normal stress at point 1 is greater than the bending stress at point 2.

c) Tensile bending stress occurs at the top of the beam.

d) Normal stress is non-uniform across the cross-section of the beam

10) The following simply supported beam is subjected to a point load as shown below. If its

cross-section is a rectangle, which of the following statements is incorrect?

a) The slopes at the two supports

are unequal

b) The slopes at the two supports

have opposite signs

c) The deflection of the beam at the

supports are zero

d) The maximum deflection occurs at

the loading point

11) Which of these is the Macaulay’s step function of the following beam?

Chapter 7 – Buckling

a) 𝑀 = 𝑅𝐴[𝑥] − 5[𝑥]2 − 2[𝑥 − 0.5]0

b) 𝑀 = 𝑅𝐴[𝑥] + 5[𝑥]2 + 5[𝑥 − 0.5]2 − 2[𝑥 − 0.5]0

c) 𝑀 = 𝑅𝐴[𝑥] + 5[𝑥]2 − 5[𝑥 − 0.5]2 + 2[𝑥 − 0.5]0

d) 𝑀 = 𝑅𝐴[𝑥] − 5[𝑥]2 + 5[𝑥 − 0.5]2 − 2



12) Strut A and B are identical except for their end constraints. A is pin-pinned and B is fixed-

free. Which of the following statements are correct?

a) Strut A can take 2 times more load than strut B

b) Strut A can take 2 times less load than strut B

c) Strut A can take 4 times more load than strut B

d) Strut A can take 4 times less load than strut B

13) In which of these systems is there a shear stress only?

(A)

(C)

(B)

(D)



14) Which of the following statements is incorrect with regards to symmetric beam bending?

a. Maximum bending stress occurs at the neutral plane

b. Shear stress is zero at the outer surfaces of the beam

c. Force is always applied perpendicular to the neutral axis

d. Positive bending moment induces tensile stress on the bottom surface of a beam

15) Which of the following is true about buckling analysis of real struts?

a. A strut cannot fail if the applied load is less than the critical buckling load

b. A column with a low slenderness ratio will yield rather than buckle

c. For rectangular beams, buckling will always occur in the plane where the 2nd moment of

area is smallest

d. A strut will buckle if the applied load is less than the critical buckling load

16) For the diagram below, a compressive force is applied to the system with undeformed

springs attached to the beam. What will the buckling force be for this system?

a) 2

9𝑘𝐿

b) 3

2𝑘𝐿

c) 3

7𝑘𝐿

d) 5

9𝑘𝐿



Question 2

Figure 1 shows a system that consists of several bars with a rectangular cross-section

of diameter 50 mm connected with pins between each other. The bars are made of steel

with a Young’s modulus of 207 GPa and they have a maximum yield stress of 550 GPa.

a) Calculate the axial deformation of bar BC

b) Will this system fail due to yielding?

c) Will this system fail due to buckling?



Question 3

The assembly below consists of two bronze rods AB and CD of diameter 30 mm, and a

stainless-steel rod EF of diameter 40 mm, and a rigid cap G. By increasing the

temperature of the rods AB, CD and EF to 180°C from room temperature (20°C),

compute the internal force of each rod. The thermal coefficient of bronze is

α = 12 x 10-6/°C and the thermal coefficient of stainless-steel is α = 20 x 10-6/°C. The

Young’s modulus of the bronze is 120 GPa and the Young’s modulus of the stainless-

steel is 190 GPa.



Question 4

The gear system below is made of hollow steel shafts of inner radius 20 mm and outer radius 40

mm, and gears at A, B, C and D. Gear B has a radius of 75 mm, gear D has a radius of 100

mm. The steel shaft has a shear modulus of 75 GPa.

a) Determine the maximum shear stress in the system

b) Determine the angle of twist at gear C

c) Determine the angle of twist at gear A



Question 5

The wood beam having a symmetric cross-section in the figure below is subjected to a

uniform load of w = 5 kN/m and a concentrated load P = 10 kN as well as a moment of

M = 20 kN.m. Assume that the support at A and B are pins.

a) Draw the shear force and bending moment diagrams for this beam

b) Calculate the maximum bending stress of the beam

c) Calculate the maximum shear stress in the beam

Beam cross-section



Question 6

For the beam structure below shows a force P of 5 kN applied at point B. The beam DB

and AC are both made up of steel of E = 207 GPa and I = 1.2*10-5 m4 with a length of

10 m. For this structure:

a) Calculate the deflection of beam AC at point B.

b) Determine the reaction force at B due to the roller support and the reaction at C

due to the pin support.

course: maae 2202 bc name: philip okotete€¦ · a) the maximum shear stress is less in section ab...

Documents