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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

The natural frequency of this system is

A

$$\sqrt{\frac{kl^3 + 6EI}{ml^3}}$$

B

$$\sqrt{\frac{kl^3 + 48EI}{ml^3}}$$

C

$$\sqrt{\frac{6EIk}{(kl^3 + 6EI)m}}$$

D

$$\sqrt{\frac{48EIk}{(kl^3 + 48EI)m}}$$

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
A
1.5
B
1.7
C
1.3
D
2.0
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
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
A
$${\pi \over 2}$$
B
$${\pi \over 3}$$
C
$${\pi \over 6}$$
D
$${\pi \over 8}$$
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Construction Material and Management
Critical Path Method Construction Materials Program Evolution Review Technique
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
Equilibrium of Force Systems Work Energy Principle and Impulse Momentum Equation
Hydrology
Precipitation and Frequency of Rainfall Data Evaporation and Transpiration Infiltration Hydrograph Flood Estimation and Flood Routing
Transportation Engineering
Highway Devolopment and Planning Highway Geometric Design Traffic Engineering Highway Materials Railway, Runway and Taxiway Design
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Centroid and Moment of Inertia Torsion Pure Bending Shear Stress In Beams Strain Energy Method Columns and Struts Complex Stress Deflection of Beams Thin Cylinder Simple Stresses Shear Force and Bending Moment Propped Cantilever Beam
Reinforced Cement Concrete
Doubly Reinforced Sections Limit State of Collapse Shear Footings Bond Slabs Limit State of Collapse Torsion Limit State of Serviceability Prestressed Concrete Singly Reinforced Sections Workmenship and Fundamentals Flanged Beams Limit State of Collapse Compression
Steel Structures
Materials and Specifications Tension Members Riveted Joints and Bolted Joints Welded Connections Eccentric Connections Compression Members Beams Plate Girder
Irrigation
Water Requirement of Crops Gravity Dams and Spillways
Environmental Engineering
Sources and Coveyances Water Quality Control of Water Treatment of Water Water Demand Waste Water Characteristics Treatment of Sewage Disposal of Sewage Effluent Solid Waste Management Air Pollution Noise Pollution
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Probability and Statistics Differential Equations Transform Theory Calculus Complex Variable Linear Algebra Vector Calculus Numerical Methods
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Origin of Soils Definitions and Properties of Soils Effective Stress and Permeability Compaction of Soil Compressibility and Consolidation Shear Strength of Soil Stress Distribution of Soil Retaining Wall and Earth Pressure Stability of Slopes Shallow Foundation Pile Foundation
Fluid Mechanics and Hydraulic Machines
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