Assignment 1 Prestressed Concrete Design

NEW ERA UNIVERSITY
COLLEGE OF ENGINEERING AND ARCHITECTURE

#9 Central Avenue, New Era, Quezon City
CE 331C-18 (PRESTRESSED CONCRETE DESIGN)
Topic: IRREGULAR BEAM ANALYSIS AND DESIGN

Section / Schedule: 3CE-MY / MWF 1:00 PM – 4:00 PM
NAME: _____________________________________________________________ DATE: __________________________ SCORE: _______

ASSIGNMENT NUMBER: One (1) DATE OF SUBMISSION: June 12, 2023
INSTRUCTIONS: Solve the following problems completely and neatly. Write your solution in a clean sheet of A4 bond
paper. STRICTLY NO ERASURES ALLOWED.
PROBLEM 1-3: PROBLEM 4-6:

For the beam shown in Figure 1 The details of a singly reinforced square beam are
vertically loaded symmetrically in the diagonal direction.
Given: See Figure 2
bw = 400 mm Given:
h = 600 mm
f’c = 27 MPa D1 = 513 mm
fy = 270 MPa D2 = 513 mm
MD = 30 kN.m Cc = 80 mm
ML = 20 kN.m f’c = 32 MPa
Steel cover = 100 mm fy = 414 MPa
As = 4 – 28 mm Ø bars
Figure 2: Rhombus beam section

Figure 1: Triangular beam section
4. Which of the following most nearly gives the depth
1. Which of the following most nearly gives the depth
of compression block “a”?
of compression block?
A. 73.07 mm
A. 224.56 mm
B. 83.07 mm
B. 158.22 mm
C. 93.07 mm
C. 176.89 mm
D. 03.07 mm
D. 217.35 mm
5. Determine the required strength and Design
2. Which of the following most nearly gives the
moment strength, Mu & ØMn.
maximum compressive strength of concrete?
A. 100.19 kN.m, 160.17 kN.m
A. 239.369 kN
B. 200.19 kN.m, 460.17 kN.m
B. 361.394 kN
C. 300.19 kN.m, 260.17 kN.m
C. 186.230 kN
D. 400.19 kN.m, 360.17 kN.m
D. 194.313 kN
6. Determine the factored uniformly distributed load
3. Which of the following most nearly gives the
(Wu) it can carry for a cantilever beam in terms of
required number of 20 mm diameter bars?
its length “L”.
A. 3
A. 520.34 / L2
B. 4
B. 620.34 / L2
C. 5
C. 720.34 / L2
D. 6
D. 820.34 / L2
Prepared by: Engr. Andro S. Rebuyas, RCE, ME-1, SO2, RMP, RME, PE-1, M.Eng-SE│ NEW ERA UNIVERSITY P a g e |1
NEW ERA UNIVERSITY
COLLEGE OF ENGINEERING AND ARCHITECTURE
#9 Central Avenue, New Era, Quezon City
PROBLEM 7-11:
Five 20 mm diameter bars are reinforced to a beam that PROBLEM 12-14:
will be resisting a hogging moment. It has a concrete For the cantilever parabolic beam section shown,
strength of 21 MPa and a steel strength of 270 MPa. The f’c = 21 MPa and fy = 280 MPa. See Figure 4.
beam has a width of 300 mm, and a total depth of 500
mm. Concrete cover is 90 mm. See Figure 3 Given:
X = 31 mm
Y = 40 mm
Figure 3: Parabolic beam section
7. Determine the area of compression block “Ac” ? Figure 4: Parabolic beam section
A. 21,759.94 mm2 12. if = √ , determine the value of the constant .

B. 22,759.94 mm2
C. 23,759.94 mm2 A. 9.11
D. 24,759.94 mm2 B. 10.11
C. 11.11
8. Determine the depth “a” of the rectangular stress D. 12.11
block?
13. Determine the depth “a” of the rectangular stress
A. 82.722 mm block.
B. 83.722 mm
C. 84.722 mm A. 492.85 mm
D. 85.722 mm B. 392.85 mm
C. 292.85 mm
9. Which of the following gives the location of the D. 192.85 mm
neutral axis measure from the extreme tension
fiber? 14. Determine the nominal flexural strength, Mn
A. 387.37 mm A. 135 kN-m

B. 417.28 mm B. 235 kN-m
C. 367.49 mm C. 335 kN-m
D. 402.68 mm D. 435 kN-m
10. Which of the following gives the maximum PROBLEM 15-20:

compressive strength of concrete? Bjarke Ingels, architect and founder of Bjarkle Ingels
Group (BIG), has retained your firm to design a new
A. 424.12 kN dining hall at Penn State. Mr. Ingels insists that beam with
B. 941.74 kN a triangular shape is used where tension is on the bottom
C. 853.30 kN side of the triangle as shown in Figure 1. You are asked
D. 556.33 kN to determine the design strength of the beam to
determine whether it has sufficient capacity. The beam’s
11. Which of the following gives the moment capacity? cross-section has a height, h = 600 mm, width b = 450
mm, effective depth d = 560 mm, and is reinforced with
A. 152.37 kN-m 3 – 16 mmØ bars. Assume the concrete compressive
B. 175.30 kN-m strength is f’c = 31 MPa and the yield strength of the steel
C. 194.78 kN-m reinforcement is fy = 414 MPa. Verify all assumptions and
D. 137.13 kN-m clearly demonstrate how you obtained and expression
for Mn for this cross section.
Prepared by: Engr. Andro S. Rebuyas, RCE, ME-1, SO2, RMP, RME, PE-1, M.Eng-SE│ NEW ERA UNIVERSITY P a g e |2

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NEW ERA UNIVERSITY

COLLEGE OF ENGINEERING AND ARCHITECTURE

CE 331C-18 (PRESTRESSED CONCRETE DESIGN)

Topic: IRREGULAR BEAM ANALYSIS AND DESIGN

NAME: _________________________________________ DATE: SCORE: _

PROBLEM 1-3: PROBLEM 4-6:

Figure 2: Rhombus beam section

Figure 3: Parabolic beam section

A. 21,759.94 mm2 12. if = √ , determine the value of the constant .

A. 387.37 mm A. 135 kN-m

10. Which of the following gives the maximum PROBLEM 15-20:

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