Civil Engineering Exams (Principles of Structural Analysis and Design) – Page 2

#20. A simply supported beam is reinforced with 4-28 mm Φ at the top of the beam. Steel covering to centroid of reinforcements is 70 mm at the top and bottom of the beam. the beam has a total depth of 400 mm and a width of 300 mm. fc' = 300 MPa, fy = 415 MPa. Balanced steel ratio ρb=0.031.
Determine the design strength using 0.90 as the reduction factor.
A 253.53 kN.m
B 250.01 kN.m
C 235.53 kN.m
D 353.35 kN.m
Answer: 253.53 kN.m
#21. A simply supported beam is reinforced with 4-28 mm Φ at the top of the beam. Steel covering to centroid of reinforcements is 70 mm at the top and bottom of the beam. the beam has a total depth of 400 mm and a width of 300 mm. fc' = 300 MPa, fy = 415 MPa. Balanced steel ratio ρb=0.031.
Determine the the live load at the mid-span in addition to a DL = 20 kN/m including the weight of the beam if it has a span of 6m.
A 40.09 kN
B 50.01 kN
C 60.11 kN
D 70.21 kN
Answer: 50.01 kN
#22. The initial compressive force of a steel column can be determined by using \( Pe = \frac{\pi^2 EI}{(Le)^2}\). The properties of the column are the following:

\(A = 8129 mm^2\)

\(I_x = 178.3 x 10^6 mm^4\)

\(I_y = 18.8 x 10^6 mm^4\)

\(fy = 345 MPa\)

\(E = 200, 000 MPa\)

Proportionality Limit \( fx = 320 MPa\)

The x-axis has an unbraced length of 8 m which is pinned at the top and fixed at the bottom with K = 0.70 to prevent sidesway. The y-axis has an unbraced length of 4 m due to the bracing at the mid-height.
Determine the critical slenderness ratio.
A 93.18
B 93.81
C 83.18
D 83.81
Answer: 83.18
#23. The initial compressive force of a steel column can be determined by using \( Pe = \frac{\pi^2 EI}{(Le)^2}\). The properties of the column are the following:

\(A = 8129 mm^2\)

\(I_x = 178.3 x 10^6 mm^4\)

\(I_y = 18.8 x 10^6 mm^4\)

\(fy = 345 MPa\)

\(E = 200, 000 MPa\)

Proportionality Limit \( fx = 320 MPa\)

The x-axis has an unbraced length of 8 m which is pinned at the top and fixed at the bottom with K = 0.70 to prevent sidesway. The y-axis has an unbraced length of 4 m due to the bracing at the mid-height.
Compute the initial compressive load of the column
A 3219 kN
B 1239 kN
C 2139 kN
D 2319 kN
Answer: 2319 kN
#24. The initial compressive force of a steel column can be determined by using \( Pe = \frac{\pi^2 EI}{(Le)^2}\). The properties of the column are the following:

\(A = 8129 mm^2\)

\(I_x = 178.3 x 10^6 mm^4\)

\(I_y = 18.8 x 10^6 mm^4\)

\(fy = 345 MPa\)

\(E = 200, 000 MPa\)

Proportionality Limit \( fx = 320 MPa\)

The x-axis has an unbraced length of 8 m which is pinned at the top and fixed at the bottom with K = 0.70 to prevent sidesway. The y-axis has an unbraced length of 4 m due to the bracing at the mid-height.
What is the minimum length that will not exceed the proportional limit.
A 3.08 m
B 3.87 m
C 3.78 m
D 3.67 m
Answer: 3.78 m
#25. A timber joist 40 mm x 190 mm (dressed dimensions) spaced at 0.3 m on centers, carries a floor load of 2.4 kPa including the floor finish. The joist is supported by the girder at 3 m. Two lengths of joist are used L = 3 m and L = 3.5 m. EI is constant through the span.
Compute the maximum flexural stress when L =3 m.
A 3.18 MPa
B 3.73 MPa
C 3.37 MPa
D 3.81 MPa
Answer: 3.37 MPa
#26. A timber joist 40 mm x 190 mm (dressed dimensions) spaced at 0.3 m on centers, carries a floor load of 2.4 kPa including the floor finish. The joist is supported by the girder at 3 m. Two lengths of joist are used L = 3 m and L = 3.5 m. EI is constant through the span.
Compute the maximum flexural stress when L =3.5 m.
A 3.18 M81
B 3.73 Mpa
C 3.37 Mpa
D 3.18 Mpa
Answer: 3.18 Mpa
#27. A timber joist 40 mm x 190 mm (dressed dimensions) spaced at 0.3 m on centers, carries a floor load of 2.4 kPa including the floor finish. The joist is supported by the girder at 3 m. Two lengths of joist are used L = 3 m and L = 3.5 m. EI is constant through the span.
What is the maximum shear stress when L =3 m?
A 0.21 MPa
B 0.31 MPa
C 0.41 MPa
D 0.11 MPa
Answer: 0.21 MPa
#28. A tied column 450 mm square is reinforced with 8 -28 mm φ equally distributed on its sides. The unsupported length of the the column is 2.6 m and is prevented to sidesway due to shear walls. K = 1.0, fc' = 20.7 MPa and fy = 415 MPa. Use 40 mm covering measured from center to center of reinforcement with tie diameter is 12 mm. Es = 200 GPa.
Determine the nominal load that the column could carry.
A 4415.6 kN
B 4416.5 kN
C 4614.5 kN
D 4641.6 kN
Answer: 4416.5 kN
#29. A tied column 450 mm square is reinforced with 8 -28 mm φ equally distributed on its sides. The unsupported length of the the column is 2.6 m and is prevented to sidesway due to shear walls. K = 1.0, fc' = 20.7 MPa and fy = 415 MPa. Use 40 mm covering measured from center to center of reinforcement with tie diameter is 12 mm. Es = 200 GPa.
Determine the balanced load using concrete strain value of εc = 0.003 and yield strength of steel \(\epsilon_y = \frac{fy}{Es}\).
A 4416.5 kN
B 7666.1 kN
C 1684 kN
D 648.1 kN
Answer: 1684 kN
#30. A tied column 450 mm square is reinforced with 8 -28 mm φ equally distributed on its sides. The unsupported length of the the column is 2.6 m and is prevented to sidesway due to shear walls. K = 1.0, fc' = 20.7 MPa and fy = 415 MPa. Use 40 mm covering measured from center to center of reinforcement with tie diameter is 12 mm. Es = 200 GPa.
Determine the balanced moment
A 682.02 kN.m
B 482.62 kN.m
C 282.63 kN.m
D 486.26 kN.m
Answer: 482.62 kN.m
#31. A W 600 x 110 beam is supported by a bearing plate 300 mm x 200 mm x 25 mm on a wall with a thickness of 300 mm.

d = 600 mm

\(b_f = 225 mm\)

\(t_f = 18 mm\)

\(t_w = 12 mm\)

\(K = 36 mm\)

\(fc' = 24 MPa\)

\(fy = 248 MPa\)


The Allowable bearing stress is 0.35fc', allowable bending stress is 0.75 Fy and allowable web yielding stress is 0.66 Fy. Determine the maximum reaction at the beam for the following conditions.
Considering the bearing of concrete wall.
A 504 kN
B 179 kN
C 405 kN
D 719 kN
Answer: 504 kN
#32. A W 600 x 110 beam is supported by a bearing plate 300 mm x 200 mm x 25 mm on a wall with a thickness of 300 mm.

d = 600 mm

\(b_f = 225 mm\)

\(t_f = 18 mm\)

\(t_w = 12 mm\)

\(K = 36 mm\)

\(fc' = 24 MPa\)

\(fy = 248 MPa\)


The Allowable bearing stress is 0.35fc', allowable bending stress is 0.75 Fy and allowable web yielding stress is 0.66 Fy. Determine the maximum reaction at the beam for the following conditions.
Considering the bending of plates at a distance K.
A 197.8 kN
B 187.9 kN
C 405 kN
D 178.9 kN
Answer: 178.9 kN
#33. A W 600 x 110 beam is supported by a bearing plate 300 mm x 200 mm x 25 mm on a wall with a thickness of 300 mm.

d = 600 mm

\(b_f = 225 mm\)

\(t_f = 18 mm\)

\(t_w = 12 mm\)

\(K = 36 mm\)

\(fc' = 24 MPa\)

\(fy = 248 MPa\)


The Allowable bearing stress is 0.35fc', allowable bending stress is 0.75 Fy and allowable web yielding stress is 0.66 Fy. Determine the maximum reaction at the beam for the following conditions.
Due to allowable web yielding stress at a distance (N +2.5K)
A 596.61 kN
B 596.16 kN
C 569.16 kN
D 569.61 kN
Answer: 569.61 kN
#34. What is the angle of rotation in degrees at the free end of a 2 m cantilever beam which is subjected to a moment of 20 kN-m at the free end? Use EI = 1528 kN.m2.
A 1.50 degrees
B 2.50 degrees
C 3.50 degrees
D 4.50 degrees
Answer: 1.50 degrees
#35. A horizontal prismatic beam 5 m long is supported at the left end and propped at the right end. The beam carries a uniform load of 100 N/m from the fixed end to the right end at a distance of 3 m. Use EI = 1, 000, 000 N. m2. Which of the following is close or equal to the reaction at the propped end?
A 69.3 kN
B 45.9 kN
C 52.5 kN
D 71.8 kN
Answer: 45.9 kN
#36. A horizontal prismatic beam 5 m long is supported at the left end and propped at the right end. The beam carries a uniform load of 100 N/m from the fixed end to the right end at a distance of 3 m. Use EI = 1, 000, 000 N. m2. Which of the following is close or equal to the moment at the fixed end?
A -395 kN - m
B -220 kN - m
C -468 kN - m
D -460 kN - m
Answer: -220 kN - m
#37. A horizontal prismatic beam 5 m long is supported at the left end and propped at the right end. The beam carries a uniform load of 100 N/m from the fixed end to the right end at a distance of 3 m. Use EI = 1, 000, 000 N. m2. Which of the following is close or equal to the rotation at the propped end in radians?
A 0.00012375
B 0.0002675
C 0.00049
D 0.00034521
Answer: 0.00012375
#38. A weight of 200 lbs is dropped vertically on the middle of a 2 in by 10 in beam, 20 ft long, simply supported at both ends. From what height must be the weight be dropped so as to cause a stress of 2, 000 psi in the beam? E = 1.5 x 106 psi.
A 2.28 in
B 2.86 in
C 1.75 in
D 3.02 in
Answer: 2.28 in
#39. A 16 inch diameter wooden boom is 55 cu. ft and the ultimate stress is 6, 000 psi and if the boom is inclined at an angle of 44o 47'34.2" from the horizontal ground, how much is still available for direct compression, using a factor of safety of 8?
A 148.9 kips
B 1498 lbs
C 4100 lbs
D 158.6 kips
Answer: 148.9 kips