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GATE 2020: Strength of Material Quiz 3 (App update required to attempt this test)

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Question 1

For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is M(x)=5x2+10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x=10 mm is ___.

Question 2

For a simply supported beam named as A of length = l3 and another simply supported beam named B of length = l2. Both are loaded at central. Find the ratio of slope at the supports of A to maximum deflection of B

Question 3

A simply supported beam has the square cross-section having moment of inertia 1728 mm4. It carries a uniformly distributed load of intensity 10 N/m. Considering only the top fibre of beam, the correct representation of the longitudinal variation of the bending stress is (consider sagging B.M positive & compressive bending stress positive)
Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image109.png

Question 4

A concentrated load F acts on a simply supported beam of span L at a distance L/4 from the left support the bending moment at the point of application of load is given by _________.

Question 5

An overhang beam with UDL with BMD (bending moment diagram), Find the value of 'a' (in m) corresponding to this BMD as shown in figure ? 

Question 6

Find the vertical reaction at the point A as shown in figure.
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