Question:
The weight of a ship is uniformly distributed along its length.
Under which ONE or MORE of the following conditions will the ship be subjected to hogging moment?
Note: The weight is equal to buoyancy in all of the following conditions.
The weight of a ship is uniformly distributed along its length.
Under which ONE or MORE of the following conditions will the ship be subjected to hogging moment?
Note: The weight is equal to buoyancy in all of the following conditions.
Under which ONE or MORE of the following conditions will the ship be subjected to hogging moment?
Note: The weight is equal to buoyancy in all of the following conditions.
Show Hint
Picture whether the extra upward push sits in the middle or at the ends of the ship in each case.
Updated On: Jul 28, 2026
- When buoyancy per unit length is greater than weight per unit length amidships
- When weight per unit length is greater than buoyancy per unit length in the bow and stern region
- When the ship is on a single wave with its crest at midship and troughs at the bow and stern
- When the ship is on a single wave with its crests at the bow, stern and the trough at midship
Show Solution
Verified By Collegedunia
The Correct Option is A, B, C
Solution and Explanation
Step 1: Recall the physical picture of hogging.
Hogging is the bending mode where the middle of the ship is pushed up relative to the ends, as if the ship is arched over a support at midship. This happens whenever the net upward force (buoyancy minus weight) is concentrated amidships while the ends carry a net downward force.
Step 2: Test the buoyancy-weight distribution options.
In option A, buoyancy exceeds weight amidships, so there is a net upward push in the middle, bending the middle upward relative to the ends: this is hogging. In option B, weight exceeds buoyancy at the bow and stern, so there is a net downward pull at both ends while the total buoyancy still balances total weight overall; the ends droop down relative to the middle, which is the same hogging shape described the other way.
Step 3: Test the wave placement options.
In option C, the wave crest sits at midship, so the local water level and hence local buoyant support is highest amidships while the bow and stern sit in troughs with reduced buoyancy there; this is the standard textbook hogging wave condition. In option D, the crests sit at the bow and stern with the trough amidships, so buoyancy is concentrated at the ends and reduced in the middle, which bends the ship the opposite way, sagging, not hogging.
Final Answer:
Excess buoyancy amidships (or excess weight at the ends), and a wave crest at midship, both produce hogging. \[ \boxed{\text{A, B and C}} \]
Hogging is the bending mode where the middle of the ship is pushed up relative to the ends, as if the ship is arched over a support at midship. This happens whenever the net upward force (buoyancy minus weight) is concentrated amidships while the ends carry a net downward force.
Step 2: Test the buoyancy-weight distribution options.
In option A, buoyancy exceeds weight amidships, so there is a net upward push in the middle, bending the middle upward relative to the ends: this is hogging. In option B, weight exceeds buoyancy at the bow and stern, so there is a net downward pull at both ends while the total buoyancy still balances total weight overall; the ends droop down relative to the middle, which is the same hogging shape described the other way.
Step 3: Test the wave placement options.
In option C, the wave crest sits at midship, so the local water level and hence local buoyant support is highest amidships while the bow and stern sit in troughs with reduced buoyancy there; this is the standard textbook hogging wave condition. In option D, the crests sit at the bow and stern with the trough amidships, so buoyancy is concentrated at the ends and reduced in the middle, which bends the ship the opposite way, sagging, not hogging.
Final Answer:
Excess buoyancy amidships (or excess weight at the ends), and a wave crest at midship, both produce hogging. \[ \boxed{\text{A, B and C}} \]
Was this answer helpful?
0
0
Top GATE NM Applied Mechanics and Structures Questions
- The dynamic response amplitude \( |H(\omega)| \) of a single degree of freedom system subjected to support motion is given by the following expression: \[ |H(\omega)| = \sqrt{\frac{1 + 4 \zeta^2 \left( \frac{\omega}{\omega_n} \right)^2 }{\left[ 1 - \left( \frac{\omega}{\omega_n} \right)^2 \right]^2 + 4 \zeta^2 \left( \frac{\omega}{\omega_n} \right)^2} } \] Where the damping ratio is \( \zeta \), the excitation frequency is \( \omega \), and the natural frequency of the system is \( \omega_n \). The amplitude \( |H(\omega)| \) increases with an increase in damping ratio (\( \zeta \)) if the excitation frequency (\( \omega \)) is ________ the natural frequency (\( \omega_n \)) of the system.
- In the stress-strain curve of mild steel, plastic deformation starts at the ________.
The midship section of a barge of breadth \( W \) and depth \( H \) is shown in the figure. All plate thicknesses are equal. The barge is subjected to a longitudinal bending moment in the upright condition. Which one of the following statements is correct?
A square‑shaped body is subjected to only direct tensile stresses \(\sigma_x\) and \(\sigma_y\) as shown. If \(\sigma_x > \sigma_y\), then the value of normal stress (\(\sigma_{\theta}\)) and shear stress (\(\tau_{\theta}\)) respectively are ________.
The beam PQRS is subjected to a vertical point load of \(10\) kN at point S as shown in the figure. The magnitude of fixed end moment at P is _________ kN‑m.
View More Questions
Top GATE NM Questions
- If \( \rightarrow \) denotes increasing order of intensity, then the meaning of the words [dry \( \rightarrow \) arid \( \rightarrow \) parched] is analogous to [diet \( \rightarrow \) fast \( \rightarrow \) \(\_\_\_\_\_\_\_\_\)]. Which one of the given options is appropriate to fill the blank?
- If two distinct non-zero real variables \( x \) and \( y \) are such that \( (x + y) \) is proportional to \( (x - y) \), then the value of \( \frac{x}{y} \) is:
- Consider the following sample of numbers: \[ 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 \] The median of the sample is:
- The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is:
- For positive non-zero real variables \( p \) and \( q \), if \[ \log \left( p^2 + q^2 \right) = \log p + \log q + 2 \log 3, \] then the value of \( \frac{p^4 + q^4}{p^2 q^2} \) is:
View More Questions