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Concept drill

stress

GATE Civil Engineering · Solid Mechanics - Stress Transformation · 2018-2026

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2026 Q13

A thin-walled spherical gas balloon of radius R and wall thickness t (t << R) is subjected to an internal (gauge) pressure p. The maximum tensile and shear stresses in the balloon...

mediumanswer key
2026 Q16

A plane strain problem (in X-Y plane) must satisfy the condition:

easyanswer key
2026 Q48

A 250 mm wide × 600 mm deep rectangular concrete beam is prestressed by means of 4 high-tensile tendons, each of 14 mm diameter. The centre of the tendons is 200 mm from the soffit...

hardanswer key
2025 Q39

Let the state of stress at a point in a body be the difference of two plane states of stress shown in the figure. Consider all the possible planes perpendicular to the x-y plane an...

hardanswer key
2025 Q52

Consider a reinforced concrete beam section of 300 mm width and 700 mm depth. The beam is reinforced with the tension steel of 2000 mm² area at an effective cover of 50 mm. Concret...

mediumanswer key
2024 Q14

The three-dimensional state of stress at a point is given by $\sigma = \begin{pmatrix} 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 & 0 & 0 \end{pmatrix}$ MPa. The maximum shear stress at the poi...

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2023 Q13

Creep of concrete under compression is defined as the _________.

mediumanswer key
2023 Q53

The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (in N/mm², i...

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2023 PYQ

Creep of concrete under compression is defined as the _________.

easyanswer keybasic explanation
2022 Q18

Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_z > \sigma_x$). The major and minor principal stresses are $\sigma_1$ and $\sigma_3$, respect...

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2021 Q20

The state of stress in a deformable body is shown in the figure. Consider transformation of the stress from the x-y coordinate system to the X-Y coordinate system. The angle $\thet...

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2021 Q38

Refer the truss as shown in the figure (not to scale). If load, F = 10√3 kN, moment of inertia, I = 8.33 × 10^6 mm^4, area of cross-section, A = 10^4 mm^2, and length, L = 2 m for...

hardanswer key
2021 Q46

A combined trapezoidal footing of length L supports two identical square columns (P1 and P2) of size 0.5 m × 0.5 m, as shown in the figure. The columns P1 and P2 carry loads of 200...

mediumanswer key
2019 Q36

A 16 mm thick gusset plate is connected to the 12 mm thick flange plate of an I-section using fillet welds on both sides as shown in the figure (not drawn to scale). The gusset pla...

hard
2019 Q39

When a specimen of M25 concrete is loaded to a stress level of 12.5 MPa, a strain of 500×10-6 is recorded. If this load is allowed to stand for a long time, the strain increases to...

mediumanswer key
2018 Q19

In a fillet weld, the direct shear stress and bending tensile stress are 50 MPa and 150 MPa, respectively. As per IS 800: 2007, the equivalent stress (in MPa, up to two decimal pla...

mediumanswer key
2018 Q29

A plate in equilibrium is subjected to uniform stresses along its edges with magnitude $\sigma_{xx} = 30$ MPa and $\sigma_{yy} = 50$ MPa as shown in the figure. The Young's modulus...

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2018 Q38

An 8 m long simply-supported elastic beam of rectangular cross-section (100 mm × 200 mm) is subjected to a uniformly distributed load of 10 kN/m over its entire span. The maximum p...

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