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Shear Force and Bending Moment Β· Strength of Materials Β· GATE ME

Marks 1
6
Marks 2
10
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Marks 1

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=10mm is _________.
GATE ME 2017 Set 2
2
A simply supported beam $$PQ$$ is loaded by a moment of $$1$$ $$kN-m$$ at the mid-span of the beam as shown in the figure. The reaction forces $${R_P}$$ and $${R_Q}$$ at supports $$P$$ and $$Q$$ respectively are GATE ME 2011 Strength of Materials - Shear Force and Bending Moment Question 12 English
GATE ME 2011
3
A cantilever beam carries the anti-symmetric load shown, where wo is the peak intensity of the distributed load. Qualitatively, the correct bending moment diagram for this beam is GATE ME 2005 Strength of Materials - Shear Force and Bending Moment Question 13 English
GATE ME 2005
4
A concentrated load $$P$$ acts on a simply supported beam of span $$L$$ at a distance $${L \over 3}$$ from the left support. The bending moment at the point of application of the load is given by
GATE ME 1993
5
A block of steel is loaded by a tangential force on its top surface while the bottom surface is held rigidly. The deformation of the block is due to GATE ME 1992 Strength of Materials - Shear Force and Bending Moment Question 15 English
GATE ME 1992
6
For a simply supporting beam on two end supports the Bending Moment is maximum:
GATE ME 1989

Marks 2

1

Which of the following beam(s) is/are statically indeterminate?

GATE ME 2024
2

A horizontal beam of length 1200 mm is pinned at the left end and is resting on a roller at the other end as shown in the figure. A linearly varying distributed load is applied on the beam. The magnitude of maximum bending moment acting on the beam is _______ N.m. (round off to 1 decimal place)

GATE ME 2024 Strength of Materials - Shear Force and Bending Moment Question 2 English
GATE ME 2024
3

A beam of length 𝐿 is loaded in the π‘₯𝑦 βˆ’plane by a uniformly distributed load, and by a concentrated tip load parallel to the 𝑧 βˆ’axis, as shown in the figure. The resulting bending moment distributions about the 𝑦 and the 𝑧 axes are denoted by 𝑀𝑦 and 𝑀𝑧 , respectively.

Which one of the options given depicts qualitatively CORRECT variations of 𝑀𝑦 and 𝑀𝑧 along the length of the beam?

GATE ME 2023 Strength of Materials - Shear Force and Bending Moment Question 1 English
GATE ME 2023
4
For the overhanging beam shown in figure, the magnitude of maximum bending moment (in kN-m) is ________ GATE ME 2015 Set 3 Strength of Materials - Shear Force and Bending Moment Question 5 English
GATE ME 2015 Set 3
5
A cantilever beam OP is connected to another beam PQ with a pin joint as shown in figure. A load of $$10$$ kN is applied at the mid-point of PQ. The magnitude of bending moment (in kN-m) at fixed end $$O$$ is GATE ME 2015 Set 2 Strength of Materials - Shear Force and Bending Moment Question 4 English
GATE ME 2015 Set 2
6
A simply supported beam of length $$L$$ is subjected to a varying distributed load $$\sin \left( {3\pi x/L} \right)N{m^{ - 1}},$$ where the distance $$x$$ is measured from the left support. The magnitude of the vertical reaction force in $$N$$ at the left support is
GATE ME 2013
7
In a simply-supported beam loaded as shown below, the maximum bending moment in N-m is GATE ME 2007 Strength of Materials - Shear Force and Bending Moment Question 7 English
GATE ME 2007
8
A beam is made up of two identical bars AB and BC, by hinging them together at B. The end A is built-in (cantilevered) and the end C is simply supported. With the load P acting as shown, the bending moment at A is GATE ME 2005 Strength of Materials - Shear Force and Bending Moment Question 8 English
GATE ME 2005
9
A mass of 35 kg is suspended from a weightless bar AC, which is supported by a cable CB and a pin at A as shown in Fig. below. The pin reactions at A on the bar AB are GATE ME 1997 Strength of Materials - Shear Force and Bending Moment Question 9 English
GATE ME 1997
10
Two bars AB and BC are connected by a frictionless hinge at B. The assembly is supported and loaded as shown in Fig. Draw the shear force and bending moment diagrams for the combined beam AC, clearly labeling the important values. Also indicate your sign convention. GATE ME 1996 Strength of Materials - Shear Force and Bending Moment Question 10 English
GATE ME 1996
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