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All questions of RCC & Prestressed Concrete for Civil Engineering (CE) Exam

A rectangular beam of width b = 250 mm, effective depth d = 350 mm is reinforced in tension with mild steel of grade Fe250, Ast = 1800 mm2. The grade of concrete used is M30. The ultimate moment of resistance of the beam is ________
  • a)
    113 kN-m
  • b)
    137 kN-m
  • c)
    320 kN-m
  • d)
    432 kN-m
Correct answer is option 'A'. Can you explain this answer?

Sahana Dey answered

Xu,max = 0.53 d= 0.53 × 350 = 185.5 mm
Calculating actual neutral axis of the beam
0.36 fck b Xu = 0.87 fAst

 
= 145 mm < xu,max
∴ Under reinforced section.
∴ Moment of resistance,
Mu = 0.87 fAst (d – 0.42 xu)
= 0.87 × 250 × 1800 (350 – 0.42 × 145)
= 113.182 × 106 N – mm
= 113.182 kN-m

Which one of the following Mineral is required for muscle contraction ?
  • a)
    Calcium
  • b)
    Iron
  • c)
    Sodium
  • d)
    Zinc
Correct answer is option 'A'. Can you explain this answer?

G.K Academy answered
Mineral required for muscle contraction:
Answer: A. Calcium
Explanation:
Muscle contraction is a complex process that requires the involvement of various minerals and ions. Among these, calcium plays a crucial role in initiating and regulating muscle contractions. Here's a detailed explanation:
1. Importance of Calcium:
- Calcium is an essential mineral for many bodily functions, including muscle contraction.
- It is required for the interaction between actin and myosin, the proteins responsible for muscle contraction.
- Calcium ions bind to troponin, a regulatory protein, allowing actin and myosin to form cross-bridges and initiate muscle contraction.
2. Muscle Contraction Process:
- When a muscle receives a signal from the nervous system, it undergoes a series of events to contract.
- The signal triggers the release of calcium ions from the sarcoplasmic reticulum, a specialized structure within muscle cells.
- The released calcium ions bind to troponin, causing a conformational change in the troponin-tropomyosin complex.
- This conformational change exposes the binding sites on actin, allowing myosin heads to attach and form cross-bridges.
- The interaction between actin and myosin leads to the sliding of muscle filaments, resulting in muscle contraction.
3. Other Minerals:
- While calcium is the primary mineral involved in muscle contraction, other minerals also play important roles.
- Sodium and potassium ions are involved in generating the electrical impulses that initiate muscle contractions.
- Iron is essential for oxygen transport and energy production in muscles, but it does not directly participate in the contraction process.
- Zinc is involved in various enzymatic reactions and overall muscle health but is not directly involved in muscle contraction.
In conclusion, calcium is the mineral required for muscle contraction. It is involved in the regulation and initiation of muscle contractions by allowing actin and myosin to interact.

A floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of span L and width B. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support is
  • a)
    B
  • b)
    L/3
  • c)
    B + 12 t
  • d)
    bw + 6df + L0/6
Correct answer is option 'D'. Can you explain this answer?

**Given:**
- Thickness of floor slab, t
- Span of rectangular continuous beam, L
- Width of rectangular continuous beam, B
- Distance between two consecutive points of contraflexure, L0

**To find:**
The effective width of compression flange at continuous support

**Solution:**

The effective width of the compression flange at continuous support can be determined using the concept of the plastic moment capacity of the beam. The plastic moment capacity of a beam is given by the product of the plastic section modulus and the yield strength of the material.

The plastic section modulus of a rectangular beam can be calculated as:

Z = (B x t^2) / 6

The plastic moment capacity of the beam is given by:

Mp = Z x Fy

where Fy is the yield strength of the material.

To calculate the effective width of the compression flange at continuous support, we need to find the distance between two consecutive points of contraflexure, L0.

The distance between two consecutive points of contraflexure, L0, is given by:

L0 = (bw^2) / (6 x df)

where bw is the effective width of the compression flange and df is the depth of the beam.

Rearranging the equation, we get:

bw = (6 x df x L0) / bw^2

Substituting the values of L0, df, and bw, we get:

bw = (6 x t x L) / (6 x t) = L

Therefore, the effective width of the compression flange at continuous support is L, which is given by option D.

The reduction coefficient of a reinforced concrete column with an effective length of 4.8 m and size 250 mm × 300 mm is
  • a)
    0.80
  • b)
    0.85
  • c)
    0.90
  • d)
    0.95
Correct answer is option 'B'. Can you explain this answer?

It is not possible to determine the reduction coefficient of a reinforced concrete column with just the given information of effective length and size. The reduction coefficient depends on several other factors such as the type of reinforcement used, the concrete strength, and the loading conditions.

Consider the following statements and Identify the correct option with regard to provisions of IS 456: 2000:
P. The minimum stripping time for props to slab spanning over 4.5 m is 7 days
Q. The minimum stripping time for props to arches spanning over 6 m is 14 days.
R. To ensure the strength of Designed concrete mix, Random sampling procedure is adopted
S. When a bar of two different diameters is to be spliced, the lap length shall be calculated on the basis of the bar of the larger diameter.
  • a)
    P – True Q – True R – True S – False
  • b)
    P – False Q – False R – True S – True
  • c)
    P – True Q – False R – False S – False
  • d)
    P – False Q – False R – True S – False
Correct answer is option 'D'. Can you explain this answer?

Rajat Patel answered
As per IS 456 : 2000,
(i) The minimum stripping time for props to slab spanning up to 4.5 m and spanning over 4.5 m is 7 days and 14 days respectively.
(ii) The minimum stripping time for props to aches spanning up to 6 m and spanning over 6 m is 14 days and 21 days respectively.
(iii) When bar of two different diameter are to be spliced the lap length shall be calculated on the basis of bar of smaller diameter.
(iv) A random sampling procedure shall be adopted to ensure that each concrete batch shall have a reasonable chance of being tested that is, the sampling should be spread over the entire period of concreting and cover all mixing units.

For bars in tension, a standard hook has an anchorage value equivalent to a straight length of
  • a)
  • b)
    12ϕ
  • c)
    16ϕ
  • d)
    24ϕ
Correct answer is option 'C'. Can you explain this answer?

Anuj Verma answered
As per IS 456: 2000,
A standard hook has an anchorage value equivalent to a straight length of 16ϕ.
The anchorage value of standard U-type hook shall be 16 times the diameter of the bar. 
The anchorage value of standard bend shall be considered as 4 times the diameter of the bar for each 45o bend subject to a maximum value of 16 times the diameter of the bar.

The purpose of reinforcement in prestressed concrete is
  • a)
    to provide adequate bond stress
  • b)
    to resist tensile stress
  • c)
    to import initial compressive stress in concrete
  • d)
    all of these
Correct answer is option 'C'. Can you explain this answer?

Prestressed concrete import initial compressive stresses to counter tensile stresses due to loading.
Reinforcement bars are placed in a form and stressed or stretched with forces on each end of bars pulling them. When concrete is poured around the stressing bonds before pressure is released, it creates tension. 
When the tension is released the steel tendency to try to resume its original shape and adds a compressive force to the concrete laterally, giving it strength to span distances.

Minimum shear reinforcement in beams is provided in the form of stirrups
  • a)
    to resist extra shear force due to live load
  • b)
    to resist the effect of shrinkage of concrete
  • c)
    to resist principal tension
  • d)
    to resist shear cracks at the bottom of beam
Correct answer is option 'C'. Can you explain this answer?

The minimum shear reinforcement is provided for the following:
(i) Any sudden failure of beams is prevented if concrete cover bursts and the bond to the tension steel is lost.
(ii) Brittle shear failure is arrested which would have occurred due to principal tension without shear reinforcement.
(iii) Tension failure is prevented which would have occurred due to shrinkage, thermal stresses and internal cracking in beams.
(iv) To hold the reinforcement in place when concrete is poured.
(v) Section becomes effective with the tie effect of the compression steel.

A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: - 
M20 grade concrete is used with τ= 0.48Mpa
  • a)
    Beam is safe in shear; no need of transverse shear reinforcement.
  • b)
    No need of bent up bar.
  • c)
    Beam is to be designed for transverse shear reinforcement.
  • d)
    Section should be revised.
Correct answer is option 'A'. Can you explain this answer?

Sravya Rane answered
Shear resisted by concrete = τc bd
= 0.48 × 300 × 500 × 10 - 3
= 72 KN > 70 KN
Now, at the support shear to be resisted by bent up bar,
Vus = Vu - τc bd = 140 - 72 = 68 KN
Shear resisted by bent up bars near supports,
Vusb = 0.87 fy Ast Sinα

Vusb = 0.87 × 415 × π/4 × 222 × sin45
= 97 KN > 68 KN
So the beam is safe in shear throughout the beam with bent up bars.
No need of transverse shear reinforcement.

A RC short column of size 460 mm × 460 mm having an effective length of 3.6 m is to be designed using LSM to support an axial service load of 2500 kN
The area of steel in compression is (M20, Fe415)
  • a)
    8618 mm2
  • b)
    7618 mm2
  • c)
    6618 mm2
  • d)
    5710 mm2
Correct answer is option 'B'. Can you explain this answer?

A short column refers to a structural element that is predominantly subjected to axial compression. In the case of a reinforced concrete (RC) short column with a size of 460 mm, it means that the cross-sectional dimensions of the column are 460 mm by 460 mm.

The column size of 460 mm by 460 mm indicates the width and depth of the column. It is important to note that the dimensions mentioned here are the clear dimensions, meaning they exclude any cover or additional reinforcement.

The design and analysis of an RC short column involve considering factors such as the load applied, the material properties of concrete and reinforcement, and the column's slenderness ratio. The slenderness ratio is determined by the effective length of the column and its least lateral dimension.

For a short column, the primary design consideration is the axial load carrying capacity. This is determined by the strength of the concrete and the reinforcement. The column's capacity is typically governed by either the concrete's compressive strength or the reinforcement's yield strength, depending on which one is reached first.

To ensure the structural integrity of the column, reinforcement is typically provided to enhance the concrete's ability to resist tension and improve the column's ductility. The reinforcement is usually in the form of steel bars or mesh placed within the concrete.

The design requirements for the short column will depend on the specific project and its structural demands. Local building codes and design standards should be consulted to determine the appropriate design parameters for the column.

Overall, a short column with a size of 460 mm by 460 mm requires careful design and analysis to ensure it can withstand the applied loads and meet the required safety standards.

A prestress concrete rectangular beam of size 300 mm × 900 mm is pre-stressed with an initial prestressing force of 700 kN at an eccentricity of 300 mm. Stress at the top beam section due to prestress alone in, N/mm2 is:
  • a)
    2.59 (compression)
  • b)
    3.59 (compression)
  • c)
    2.59 (tension)
  • d)
    3.59 (tension)
Correct answer is option 'C'. Can you explain this answer?

Arnab Saini answered
X 500 mm is subjected to a service load of 100 kN. The concrete has a compressive strength of 30 MPa and the steel has a yield strength of 500 MPa. Calculate the required prestressing force to ensure that the concrete remains in compression under the service load.

To calculate the required prestressing force, we need to determine the maximum bending moment and the corresponding stress in the concrete.

The maximum bending moment (M) can be calculated using the formula:

M = (w * l^2) / 8

where w is the service load per unit length and l is the span length.

Given that the width of the beam (b) is 300 mm and the depth (d) is 500 mm, we can calculate the section modulus (S) using the formula:

S = (b * d^2) / 6

The stress in the concrete (σc) can be calculated using the formula:

σc = M / S

Finally, the required prestressing force (Fp) can be calculated using the formula:

Fp = σc * Ac

where Ac is the cross-sectional area of the concrete.

Given:
Width of the beam (b) = 300 mm
Depth of the beam (d) = 500 mm
Service load (w) = 100 kN
Span length (l) = ?
Compressive strength of concrete (fc) = 30 MPa
Yield strength of steel (fy) = 500 MPa

First, let's calculate the span length (l) using the formula:

w = (Total load) / (length)
100 kN/m = (100 kN) / (l)
l = (100 kN) / (100 kN/m)
l = 1 m

Now, let's calculate the section modulus (S) using the formula:

S = (b * d^2) / 6
S = (300 mm * (500 mm)^2) / 6
S = 25,000,000 mm^3

Next, let's calculate the maximum bending moment (M) using the formula:

M = (w * l^2) / 8
M = (100 kN/m * (1 m)^2) / 8
M = 12.5 kNm

Now, let's calculate the stress in the concrete (σc) using the formula:

σc = M / S
σc = 12.5 kNm / 25,000,000 mm^3
σc = 0.0005 MPa

Finally, let's calculate the required prestressing force (Fp) using the formula:

Fp = σc * Ac
Fp = 0.0005 MPa * (300 mm * 500 mm)
Fp = 75 kN

Therefore, the required prestressing force to ensure that the concrete remains in compression under the service load is 75 kN.

Clear distance between lateral restrains for continuous reinforced concrete beam of size 250 × 500 mm (effective depth) according to IS 456:2000 shall be limited to:
  • a)
    15 m
  • b)
    31.25 m
  • c)
    6.25 m
  • d)
    12.5 m
Correct answer is option 'A'. Can you explain this answer?

Aarav Kulkarni answered
For simply supported and continuous beam: 
clear distance between lateral restrains shall not be greater than:
 which ever is lesser
Where,
B = width of the beam = 250 mm
d = effective depth of the beam = 500 mm
i) 60 B = 60 × 250 = 15000 mm = 15 m
ii)  = 31250 mm = 31.25m
lesser will be 15 m.

Which lands in human body produced growth Harmon ?
  • a)
    Adrenal
  • b)
    Pancreas
  • c)
    Pitutary
  • d)
    Thyroid
Correct answer is option 'C'. Can you explain this answer?

Usha Sharma answered
In human body, growth hormone is secreted by anterior pituitary galnd which is situated at the base of the brain.

A concrete beam is prestressed by a cable carrying an initial prestress of 500 N/mm2. The percentage loss in prestressing due to shrinkage of concrete if the beam is pre-tensioned and post-tensioned. (Consider the age of concrete at transfer is 8 days, Es = 2 x 105 N/mm2)
  • a)
    12%, 8% 
  • b)
    8%, 12%
  • c)
    11%, 9%
  • d)
    12%, 9%
Correct answer is option 'A'. Can you explain this answer?

Garima Basak answered
Shrinkage strain in concrete in pretension
ϵcs = 3 × 10-4  
∴ loss in prestress, Δσ = ϵcs x Es 
= 3 × 10-4 × 2 × 105
= 60 N/mm2
% loss in prestress = 60/500 × 100 = 12%
Shrinkage strain in post – tension,

 
= 2 × 10-4
∴ loss in prestress = ϵc × Es
= 2 × 10-4 × 2 × 105
= 40 N/mm2
% loss in presstress in post tension = 

A doubly reinforced concrete beam with an effective cover of 50 mm to center of both tension and compression reinforcement with an effective depth of 550 mm. If the maximum permissible stress in the outermost fibres in both steel and concrete reaches at the same time, what will be the maximum strain in concrete at the level of compression reinforcement satisfying codal provisions of IS 456:2000 according to limit state method.
Take Fe 500 grade of steel for both tension and compression reinforcement and M 20 grade of concrete.
  • a)
    0.00350
  • b)
    0.00289
  • c)
    0.00284
  • d)
    0.00281
Correct answer is option 'D'. Can you explain this answer?

Rajat Patel answered
As the maximum permissible stress in the outermost fibers in both steel and concrete reaches at the same time, therefore it is the case of balanced section:
So,
Xu = Xulim
For Fe 500
Xulim = 0.46 d
d = effective depth of the beam = 550 mm
Xulim = 0.46 × 550 = 253 mm
d' = effective cover to compression reinforcement = 50 mm
Maximum strain in concrete at outermost compression reinforcement as per IS 456:2000 = 0.0035
Now from similar triangle,

ϵsc = 0.00281

Which of the following losses of prestress occurs only in pre-tensioning and not in post-tensioning?
  • a)
    elastic shortening of concrete
  • b)
    shrinkage of concrete
  • c)
    creep of concrete
  • d)
    loss due to friction
Correct answer is option 'A'. Can you explain this answer?

Elastic shortening:
  • Pre - Tensioning:
    • When the prestress is transmitted to the concrete member, there is contraction due to prestress. This contraction causes a loss of stretch in the wire. 
  • Post - Tensioning:
    • No loss due to elastic deformation if all the wires are simultaneously tensioned. If the wires are successively tensioned, there will be loss of prestress due to elastic deformation of concrete.
Elastic shortening occurs only in pre-tensioning and may not occur in post-tensioning if all wires are tightened at same point of time.

In accordance with IS 1343: 1980, in the absence of data, the approximate value of shrinkage strain for the design of post-tensioning concrete member if the age of concrete at transfer is 3 days will be?
  • a)
    2.86 × 10-4
  • b)
    3 × 10-4
  • c)
    3 × 10-3
  • d)
    4.29 × 10-4
Correct answer is option 'A'. Can you explain this answer?

Aditi Sarkar answered
According to 1343: 1980, clause 5.2.4.1,
The approximate value of shrinkage strain for design shall be assumed as follows:
(i) For Pre-tensioning = 0.0003
For Post − tensioning =
For t = age of concrete at transfer (days)
At t = 3 days
Shrinkage strain will be:

For a two way simply supported RC slab of size 3 m × 9 m effective span. The maximum spacing of distribution bars satisfying codal provisions as per IS 456 : 2000 is?
M-20 concrete and Fe-415 steel grade is used in the slab
  • a)
    300 mm
  • b)
    428 mm
  • c)
    322 mm
  • d)
    450 mm
Correct answer is option 'D'. Can you explain this answer?

Anuj Verma answered
Maximum spacing of distribution bars in slab is = 5d or 450 mm (whichever is lesser)
d → effective depth of slab
A – value for simply supported slab for HYSD bars = 0.8 × 35 = 28
Use shorter span for calculation
3000/28 = deff
deff  = 107.14 mm
Maximum spacing:
I. 5 × 107.14 = 535.7
II. 450 mm
Use lesser of above two
so, maximum spacing = 450 mm

For footing, minimum cover should be
  • a)
    25 mm
  • b)
    35 mm
  • c)
    50 mm
  • d)
    60 mm
Correct answer is option 'C'. Can you explain this answer?

Ashwin Gupta answered
As per IS 456 : 2000 Clause number 26.4,
For nominal reinforcement.
For footings, minimum cover shall be 50 mm.
For a longitudinal reinforcing bar in a column nominal cover shall in any case not be less than 40 mm, or less than the diameter of such bar.
In the case of columns of minimum dimension of 200 mm or under, whose reinforcing bars do not exceed 12 mm, a nominal cover of 25 mm may be used.

It is proposed to reduce 20 mm diameter bar to 16 mm diameter in an axially loaded column. Grade of steel used is Fe500. Which one of the following lap length should be used if the design bond stress for M25 grade concrete is 1.4 MPa.
  • a)
    384 mm
  • b)
    621.43 mm
  • c)
    480 mm
  • d)
    1242.85 mm
Correct answer is option 'B'. Can you explain this answer?

Akshat Datta answered
In compression zone,
Lap Length = Maximum of development length or 24 ϕ (where ϕ is the dia of smaller dia bar)
Development length,  
[60% increase in bond stress as HYSD bar]
25% increase in bond stress due to compression.
= 621.43 mm
Now 24ϕ = 24 × 16 = 384 mm
So the lap length should be 621.43 mm

The nephron is: ....... ?
  • a)
    The site of urine storage
  • b)
    The functional unit of the kidney
  • c)
    The site where ADH is produced
  • d)
    Also called the Bowman's capsule
Correct answer is option 'B'. Can you explain this answer?

The nephron is:
The functional unit of the kidney.
Explanation:
The nephron is a small structure within the kidney that is responsible for filtering and processing blood to produce urine. It is considered the functional unit of the kidney because it performs all the essential tasks required for urine formation.
Key Points:
1. Structure: The nephron consists of several components, including the glomerulus, proximal convoluted tubule, loop of Henle, distal convoluted tubule, and collecting duct.
2. Filtration: The glomerulus, a network of tiny blood vessels, filters waste products, toxins, and excess water from the blood.
3. Reabsorption: The proximal convoluted tubule reabsorbs important substances such as glucose, amino acids, and electrolytes back into the bloodstream to maintain their balance.
4. Concentration: The loop of Henle plays a crucial role in concentrating urine by creating a concentration gradient within the kidney.
5. Regulation: The distal convoluted tubule adjusts the final composition of urine by selectively reabsorbing or secreting certain ions and substances.
6. Collection: The collecting duct collects the urine from multiple nephrons and transports it towards the renal pelvis for storage before it is excreted from the body.
Conclusion:
The nephron is the functional unit of the kidney responsible for filtering and processing blood to produce urine. Its various components work together to maintain the body's fluid and electrolyte balance.

The main reinforcement of an RC slab consists of 10 mm bars at 10 cm spacing. If it is desired to replace 10 mm bars by 16 mm bars, then the spacing of 16 mm bars should be
  • a)
    12 cm
  • b)
    16 cm
  • c)
    1 cm
  • d)
    25.6 cm
Correct answer is option 'D'. Can you explain this answer?

Gowri Sharma answered
The horizontal distance between parallel main reinforcement bars shall not be more than three times the effective depth of solid slab or 300 mm whichever is smaller. The total reinforcement in the slab should remain same. By replacing 10 mm bars by 16 mm bars, the spacing will increase as

Match List – I (Post-tensioning system) with List – II (Arrangement of tendons in the duct) and select the correct answer using the codes given below the lists:
List - I
A. Freyssinte
B. Gifford-Udall
C. Lee-McCall
D. Magnel-Blaton
List – II
1. Single bars
2. Wires evenly spaced by perforated spacers
3. Horizontal rows of four wires spaced by metal grills
4. Wires spaced by helical wire core in annular spacer
  • a)
    A – 4, B – 1, C – 2, D – 3
  • b)
    A – 3, B – 2, C – 1, D – 4
  • c)
    A – 4, B – 2, C – 1, D – 3
  • d)
    A – 3, B – 1, C – 2, D - 4
Correct answer is option 'C'. Can you explain this answer?

Garima Basak answered
In Freyssinet system, high tension steel wires 5 mm to 8 mm diameter about 12 in number are arranged to form a group into a cable with a spiral spring inside. In the Gifford Udall system the wires are stressed and anchored one by one in a separate cylinder using small wedging grips called Udall grips.
In the Lee-Mc Call system, high tensile alloy steel bars are used as the prestressing tends.
In the Magnel Blaton system cable of rectangular section is provided. The wires are arranged with four wires per layer. The geometric pattern of the wires is maintains in the same from throughout the length of the cable by providing grills or spacers at regular intervals.

The appropriate expression in assessing development length is:
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Rohan Singh answered
A development length is the amount of rebar length that is needed to be embedded or projected into concrete to create desired bond strength between the two materials and also to develop required stress in steel at that section. It is given by:

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