Strength of Materials (SOM) GATE Solved Practice Questions | Part 2

A bar 0.3 m long is 50 mm square in the section for 120 mm of its length, 25 mm diameter for 80 mm, and of 40 mm diameter for the remaining length. If

GATE/ESE/PSU Solved Practice Questions (SOM)- Part 2



GATE Solved Practice Questions (SOM) - Part 2, Solid Mechanics Solved Questions for ME and CE



Topic: Stress, Strain and Young's Modulus



    A bar 0.3 m long is 50 mm square in the section for 120 mm of its length, 25 mm diameter for 80 mm, and of 40 mm diameter for the remaining length. If a tensile force of 100 KN is applied to the bar, calculate the maximum and minimum stresses produced in it, and the total elongation. Take E= 200 GN/m² and assume a uniform distribution of load over the cross-sections.

    [Ans. 204 MN/m², 40 MN/m². 0.1453 mm]

    Strength of Materials (SOM) GATE/ESE/PSU Solved Practice Questions | Competitive Exam Questions for Civil Engineering and Mechanical Engineering | Part 2 | By Akhand Dutta





    A brass rod 20 mm diameter was subjected to a tensile load of 40 kN. The extension of the rod was found to be 254 divisions in the 200 mm extension meter. If each division is equal to 0.001 mm, find the elastic modulus of brass.

    [Ans. 100.25 GN/m²]

    Strength of Materials (SOM) GATE/ESE/PSU Solved Practice Questions | Competitive Exam Questions for Civil Engineering and Mechanical Engineering | Part 2 | By Akhand Dutta





    Find the total extension of the bar, shown in Figure for an axial pull of 40 KN.

    Strength of Materials (SOM) GATE/ESE/PSU Solved Practice Questions | Competitive Exam Questions for Civil Engineering and Mechanical Engineering | Part 2 | By Akhand Dutta, R K RAJPUT Solutions


    [Ans. 0.225 mm] 

    Strength of Materials (SOM) GATE/ESE/PSU Solved Practice Questions | Competitive Exam Questions for Civil Engineering and Mechanical Engineering | Part 2 | By Akhand Dutta





    A brass bar having a cross-sectional area: of 1000 mm² is subjected to axial forces. as shown in Figure. Find the total change in length of the bar. Take E = 105 GN/m².

    Strength of Materials (SOM) GATE/ESE/PSU Solved Practice Questions | Competitive Exam Questions for Civil Engineering and Mechanical Engineering | Part 2 | By Akhand Dutta, R K RAJPUT Solutions


    [Ans. 0.1143 m (decrease)] 

    Strength of Materials (SOM) GATE/ESE/PSU Solved Practice Questions | Competitive Exam Questions for Civil Engineering and Mechanical Engineering | Part 2 | By Akhand Dutta





    A circular rod 0.2 m long, tapers from 20 mm diameter at one end to 10 mm diameter at the other. On applying an axial pull of 6 kN, it was found to extend by 0.068 mm. Find Young's modulus of the material of the rod.

    [Ans. 112.3 GN/m²]

    Strength of Materials (SOM) GATE/ESE/PSU Solved Practice Questions | Competitive Exam Questions for Civil Engineering and Mechanical Engineering | Part 2 | By Akhand Dutta





    A vertical rod 3 m long is rigidly fixed at the upper end and carries an axial tensile load of 50 kN force. The rod tapers uniformly from a diameter of 50 mm at the top to 30 mm at the bottom. Calculate the total extension of the bar. Take density of material = 1 x 10^5 kg/m³ and E= 210 GN/m².

    [Ans. 0.6217 mm]

    Strength of Materials (SOM) GATE/ESE/PSU Solved Practice Questions | Competitive Exam Questions for Civil Engineering and Mechanical Engineering | Part 2 | By Akhand Dutta







    Questions Courtesy - SOM by R. K. Rajput

    Recommended Books and e-Books for Strength of Materials:

    *Click to Open

    1. R.K. Rajput 


    2. R.K. Bansal


    3. S.S. Bhavikatti


    4. Timoshenko


    5. S.S. Rattan


    6. R.S. Khurmi


    7. U.C. Jindal

    Getting Info...

    About the Author

    "Meet Mr. Akhand Dutta, the visionary Founder and Owner of CEWA (Civil Engineering With Akhand Dutta). Currently, The Placement Coordinator for Structural Engineering at the prestigious National Institute of Technology, Kurukshetra. With a lif…

    Post a Comment

    Oops!
    It seems there is something wrong with your internet connection. Please connect to the internet and start browsing again.
    AdBlock Detected!
    We have detected that you are using adblocking plugin in your browser.
    The revenue we earn by the advertisements is used to manage this website, we request you to whitelist our website in your adblocking plugin.
    Site is Blocked
    Sorry! This site is not available in your country.