Name: ________________________________ Date: __________________________
Course/Year: ___________________________ Subject: ________________________
Instruction:
Please read all questions carefully and make sure you understand the facts before you begin
answering. Write legibly and be as concise as possible. Show your solution in a separate paper or at the
back of your test paper. GOODLUCK FUTURE ENGINEERS!
Situation 1: Situation 2:
A joint is made by gluing two plywood gussets of The angle bracket support Beam A. The bracket
thickness “t” to wood boards. The tensile is bolted to the flange of the supporting column
working stresses are 92.47 MPa for the plywood with 2-20 mm diameter bolts. The load from
and 58.62 MPa for the boards. The working shear Beam A = 80 kN. Assume that the load is
stress for the glue is 13.64 MPa. (Refer to figure concentrically applied at the connection. (Refer
1) to Figure 2)
Given: w = 145 mm; h = 45 mm Given:
1. Determine the dimension (mm) b so Bracket = 75mm x 75mm x 12 mm thick, L=155
that the joint is as strong as the boards. mm
A. 314.74 mm Thickness of Column Flange = 15 mm
B. 96.69 mm
Thickness of Beam Flange = 10 mm
C. 45.32 mm
D. 775.33 mm 1. Find the Critical Bolt Bearing Stress
(MPa)
2. Determine the dimension (mm) t so
A. 133.33 MPa
that the joint is as strong as the boards.
B. 166.67 MPa
A. 14.26 mm C. 199.45 MPa
B. 54.98 mm D. 169.96 MPa
C. 74.12 mm
2. Find the Critical Bolt Shear Stress (MPa).
D. 12.41 mm
A. 155.23 MPa
3. If P = 45 kN, b = 415 mm and t = 10 mm, B. 145.78 MPa
what is the shearing stress (MPa) in the C. 112.32 MPa
glued area? D. 127.32 MPa
A. 0.142 MPa 3. Find the Bearing Pressure (MPa) in the
B. 0.884 MPa bracket.
C. 0.274 MPa A. 7.17 MPa
D. 0.374 MPa B. 1.77 MPa
C. 8.09 MPa
D. 9.08 MPa
Situation 3:
Find the maximum allowable value of P for the
column. The cross-sectional areas are given in
the figure. If the working stress of the steel,
timber and concrete are 120 MPa, 12 MPa and
16 MPa, respectively. (Refer to Figure 3)
A. 513.45 MPa
1. What is the allowable P for the column? B. 452.87 MPa
A. 30.0 kN C. 622.74 MPa
B. 24.0 kN D. 215.36 MPa
C. 26.5 kN 4. Compute the Tensile Stress in the Bolts.
D. 25.6 kN A. 524.55 MPa
2. What is the total change in length? B. 781.84 MPa
A. -1.455 mm C. 931.12 MPa
B. -2.545 mm D. 124.34 MPa
C. -4.554 mm
D. -3.454 mm
3. What is the axial force for Concrete? Situation 5:
A. 30.0 kN The 6 mm thick cylindrical tank with a diameter
B. 24.0 kN of 1.2 m is subjected by an internal pressure
C. 26.5 kN p=0.9 MPa. The tank is supported by 24 bolts as
D. 25.6 kN shows in the figure 5.
Situation 4: 1. Compute the tangential Hoop stress.
The Strut shown in the figure carries an axial
A. 90 MPa
load P=200 kN.
B. 75 MPa
Given: 𝜃 = 30°
C. 85 MPa
Diameter of pin, 𝑑𝑝𝑖𝑛 = 16 𝑚𝑚
D. 45 MPa
Diameter of bolt. 𝑑𝑏𝑜𝑙𝑡 = 16 𝑚𝑚
Thickness of strut, 𝑡𝑠𝑡𝑟𝑢𝑡 = 10 𝑚𝑚 2. Compute the longitudinal Hoop stress.
Thickness of gusset, 𝑡𝑔𝑢𝑠𝑠𝑒𝑡 = 12 𝑚𝑚
A. 90 MPa
(Refer to figure 4)
B. 75 MPa
1. Compute the Critical Bearing Stress in
C. 85 MPa
the Pin.
D. 45 MPa
A. 852.4 MPa
B. 520.8 MPa 3. If the bolt tensile capacity is 52.5 kN
C. 785.5 MPa each, solve for the allowable internal
D. 205.8 MPa pressure “p”. Use factor of safety 1.50
2. Compute the Shear Stress in the Pin
A. 497.35 MPa A. 0.454 MPa
B. 359.47 MPa B. 0.742 MPa
C. 953.74 MPa C. 0.552 MPa
D. 545.53 MPa D. 0.873 MPa
3. Compute the Shear Stress in the Bolts.
Situation 6:
An element is subjected to the stresses as
presented in the Mohr’s circle shown. (Refer to
figure 6)
Given: a = 100 MPa; b = 30 MPa; c = 19 MPa
Determine the following:
1. Minimum principal stress
A. 25.17 MPa
B. 17.25 MPa
C. 71.52 MPa
D. 52.71 MPa
2. Maximum principal stress
A. 114.84 MPa
B. 109.56 MPa
C. 104.82 MPa
D. 118.24 MPa
3. Maximum shearing stress
A. 28.51 MPa
B. 65.87 MPa
C. 39.82 MPa
D. 49.28 MPa
4. Shear stress at y-axis of the elements Figure 6
A. 30 MPa
B. 19 MPa
C. 25 MPa
D. 12 MPa
5. Average principal stress
A. 65 MPa
B. 74 MPa
C. 98 MPa
D. 45 MPa
6. Direction of the maximum shearing
stress.
A. 28.5°
B. 49.6°
C. 58.2°
D. 35.5°
Figure 1
Figure 3
Figure 2
Figure 4 Figure 5
