1
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+2
-0.833
A linearly elastic beam of length 2l with flexural rigidity EI has negligible mass. A massless spring with a spring constant k and a rigid block of mass m are attached to the beam as shown in the figure.
![GATE CE 2024 Set 2 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 3 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lxt2psyo/a15c91c9-c141-4d9f-a9ce-28a13d441f40/1c27ae00-3236-11ef-91ba-6b9e98f71a93/file-jaoe38c1lxt2psyp.png?format=png)
The natural frequency of this system is
2
GATE CE 2023 Set 1
MCQ (Single Correct Answer)
+2
-0.66
Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place) for the cross-section?
![GATE CE 2023 Set 1 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 2 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lzeoknmq/2d226a0c-288a-457b-b1a2-5d8733950106/42d93820-51e4-11ef-a345-ddfa5f530cc2/file-jaoe38c1lzeoknmr.png?format=png)
3
GATE CE 2023 Set 1
Numerical
+2
-0
The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis (Y - Y). The moment of inertia of the section about the horizontal axis (X - X) passing through the centroid is _______ cm4 (round off to nearest integer).
![GATE CE 2023 Set 1 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 1 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lzcobdpl/3801c84c-8365-43dc-b5b0-3c35c7e7d18c/af9aa190-50c9-11ef-a611-3fbeee6ccc16/file-jaoe38c1lzcobdpm.png?format=png)
Your input ____
4
GATE CE 2011
MCQ (Single Correct Answer)
+2
-0.6
A disc of radius $$'r'$$ has a hole of radius $$'r/2'$$ cut-out as shown. The centroid of the remaining disc (shaded portion) at a radial distance from the center $$''O''$$ is
![GATE CE 2011 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 5 English](https://imagex.cdn.examgoal.net/jEwtvFwo3TqFKrK69/LV9ypB0NOivwhvVhfWaCatnt7kXPS/uDs3o9YNuESC5sjlVhXGw4/image.png)
Questions Asked from Centroid and Moment of Inertia (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Engineering Mechanics
Hydrology
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude