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WorksheetsTOPIC 2-ANALYSIS OF SECTION
Total questions: 13
Worksheet time: 7mins
What is the primary purpose of prestressing in concrete members?
To increase the weight of the concrete
To maintain favorable stress conditions under load
To reduce the cost of materials
To enhance the aesthetic appearance
What is the maximum stress at the top of a member subjected to axial prestress force?
P/A - M/z_t
P/A + M/z_b
P/A - M/z_b
P/A + M/z_t
In the context of prestressed concrete, what does 'eccentricity' refer to?
The angle of inclination of the beam
The total length of the beam
The distance from the neutral axis to the point of application of force
The distance from the centroid to the edge of the beam
What is the notation for compressive stresses in the prestressing steel?
P/A
-ve
M/z
+ve
What is the minimum prestressed force required to avoid tension in the bottom fibre?
P_min = M_max + A * z_b
P_min = M_max * z_b / A
P_min = M_max / A * z_b
P_min = M_max * A / z_b
What is the area of a rectangular beam with dimensions 250 mm x 300 mm?
75,000 mm²
100,000 mm²
60,000 mm²
90,000 mm²
What is the self-weight of a beam with a cross-section of 0.15 m x 0.3 m and a density of 24 kN/m³?
0.36 kN/m
1.44 kN/m
0.72 kN/m
1.08 kN/m
What is the formula for calculating the maximum stress at the bottom of a member under maximum moment?
P/A + M_min / z_b
P/A - M_min / z_b
P/A + M_max / z_b
P/A - M_max / z_b
In a simply supported prestressed beam, what is the effect of zero eccentricity?
Increases the bending moment
Maintains uniform stress distribution
Increases the tensile strength
Reduces the maximum stress
What is the section modulus formula for a rectangular beam?
b²h/6
bh²/6
b²h/12
bh/2
What is the significance of the notation 'NA' in prestressing analysis?
Neutral Axis
Normal Area
Net Allowance
Non-Applicable
What is the maximum stress at the top of a member subjected to eccentric prestress force?
P/A - M_max/z_b + Pe/z_b
P/A - M_min/z_b + Pe/z_b
P/A + M_max/z_t - Pe/z_t
P/A + M_min/z_t - Pe/z_t
What is the required prestressed force for a simply supported beam with a live load of 10 kN/m?
To be calculated based on the beam's dimensions
Always equal to the live load
Zero if the beam is not loaded
Equal to the self-weight of the beam
