## PEC EPE Exam Plain and Reinforced Concrete MCQs and Numerical Questions

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What is the primary purpose of using reinforcement in concrete?

a) Enhance the aesthetic appearance

b) Increase the thermal conductivity

c) Improve the workability

d) Enhance tensile strength and ductility

Answer: d

Which type of reinforcement is used to resist tensile stresses?

a) Longitudinal reinforcement

b) Shear reinforcement

c) Stirrups

d) Tie bars

Answer: a

The process of compacting freshly placed concrete to remove air voids is called:

a) Curing

b) Troweling

c) Vibrating

d) Floating

Answer: c

The nominal cover in reinforced concrete refers to:

a) The decorative layer on the surface

b) The distance between bars

c) The distance between the surface and the outermost layer of reinforcement

d) The thickness of the concrete

Answer: c

What is the minimum number of bars required for a rectangular column?

a) 2

b) 3

c) 4

d) 6

Answer: b

In a singly reinforced beam, where is the tensile reinforcement placed?

a) Bottom face of the beam

b) Top face of the beam

c) Middle of the beam

d) Both top and bottom faces of the beam

Answer: a

The yield strength of reinforcement steel is usually specified in:

a) N/mยฒ (Pascals)

b) N/mmยฒ (Megapascals)

c) N/cmยฒ

d) kg/mยณ

Answer: b

Which type of load causes bending in reinforced concrete beams?

a) Axial load

b) Torsional load

c) Shear load

d) Transverse load

Answer: d

The ratio of the area of tension reinforcement to the gross area of concrete is known as:

a) Modulus of elasticity

b) Flexural strength

c) Reinforcement ratio

d) Shear strength

Answer: c

The term “moment of inertia” in structural engineering refers to:

a) The resistance of a material to bending

b) The maximum bending moment in a beam

c) The distribution of shear stresses in a beam

d) The measure of an object’s resistance to changes in rotation

Answer: d

Tensile Strength of Reinforcement:

Calculate the tensile strength of a steel reinforcement bar with a yield strength of 500 MPa.

Solution:

Tensile Strength = Yield Strength / Factor of Safety

Tensile Strength = 500 MPa / 1.5 = 333.33 MPa

Reinforcement Ratio Calculation:

Determine the reinforcement ratio for a rectangular beam with an area of tension steel of 1500 mmยฒ and a concrete area of 9000 mmยฒ.

Solution:

Reinforcement Ratio = (Area of Tension Steel) / (Area of Concrete)

Reinforcement Ratio = 1500 mmยฒ / 9000 mmยฒ = 0.1667

Moment of Inertia Calculation:

Calculate the moment of inertia of a rectangular section with width 200 mm and depth 400 mm.

Solution:

Moment of Inertia = (Width ร Depth^3) / 12

Moment of Inertia = (200 mm ร 400 mm^3) / 12 = 8,000,000 mm^4

Neutral Axis Depth Calculation:

Determine the depth of the neutral axis for a rectangular section with a tensile reinforcement area of 1200 mmยฒ and compressive reinforcement area of 800 mmยฒ.

Solution:

Neutral Axis Depth = (Tensile Reinforcement Area ร Tensile Reinforcement Depth) / (Total Reinforcement Area)

Neutral Axis Depth = (1200 mmยฒ ร d) / (1200 mmยฒ + 800 mmยฒ)

(Solve for d using the given values)

Flexural Stress Calculation:

Calculate the maximum flexural stress in a beam with a moment of 200 kNm and a section modulus of 6000 cmยณ.

Solution:

Flexural Stress = Bending Moment / Section Modulus

Flexural Stress = 200 kNm / 6000 cmยณ = 33.33 N/cmยฒ

Shear Reinforcement Calculation:

Determine the number of shear stirrups required for a beam with a shear force of 40 kN, using stirrups with a capacity of 5 kN each.

Solution:

Number of Stirrups = Shear Force / Capacity per Stirrup

Number of Stirrups = 40 kN / 5 kN/stirrup = 8 stirrups

Slab Design Calculation:

Calculate the minimum thickness of a simply supported one-way slab with a span of 5 meters and a live load of 3 kN/mยฒ.

Solution:

Minimum Thickness = (Span^3 / 12) ร (Live Load / (Characteristic Load + Live Load))

Minimum Thickness = (5 m^3 / 12) ร (3 kN/mยฒ / (1.4 kN/mยฒ + 3 kN/mยฒ))

(Solve for minimum thickness using the given values)

Beam Deflection Calculation:

Determine the maximum deflection in a simply supported beam with a span of 6 meters and a uniformly distributed load of 12 kN/m.

Solution:

Maximum Deflection = (5/384) ร (Uniform Load ร Span^4) / (Elastic Modulus ร Moment of Inertia)

Maximum Deflection = (5/384) ร (12 kN/m ร 6 m)^4 / (Elastic Modulus ร Moment of Inertia)

(Solve for maximum deflection using the given values)

Cantilever Beam Calculation:

Calculate the bending moment at the fixed end of a cantilever beam with a point load of 10 kN at the free end.

Solution:

Bending Moment = Point Load ร Distance from Free End

Bending Moment = 10 kN ร Distance (given)