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Given the statements: P is the sister of Q. Q is the husband of R. R is the mother of S. T is the husband of P. Based on the above information, T is ______ of S. (A) the grandfather (B) an uncle (C) the father (D) a brother | GATE 2022

Question: Given the statements:  P is the sister of Q.  Q is the husband of R.  R is the mother of S.  T is the husband of P. Based on the …

Two straight lines pass through the origin (𝑥', y') = (0,0). One of them passes through the point (𝑥1, 𝑦1) = (1,3) and the other passes through the point (𝑥2, 𝑦2) = (1,2). What is the area enclosed between the straight lines in the interval [0, 1] on the 𝑥-axis? | GATE 2022

Question: Two straight lines pass through the origin (𝑥', y ') = (0,0). One of them passes through the point (𝑥1, 𝑦1) = (1,3) and the oth…

In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of | GATE 2022

Question: In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of (A) Young’s modulus of elasticity of…

Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall health as they get older. Which one of the following is the CORRECT logical inference based on the information in the above passage? | GATE 2022

Question: Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. Fo…

If 𝑝 ∶ 𝑞 = 1 ∶ 2 𝑞 ∶ 𝑟 = 4 ∶ 3 𝑟 ∶ 𝑠 = 4 ∶ 5 and 𝑢 is 50% more than 𝑠, what is the ratio 𝑝 ∶ 𝑢?

Question: If 𝑝 ∶ 𝑞 = 1 ∶ 2 𝑞 ∶ 𝑟 = 4 ∶ 3 𝑟 ∶ 𝑠 = 4 ∶ 5 and 𝑢 is 50% more than 𝑠, what is the ratio 𝑝 ∶ 𝑢? Solution: Through the utilizatio…

A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross-section is rectangular with constant width. 3. From the flexure-critical perspective, the most economical longitudinal profile of the beam to carry the given loads amongst the options given below, is

Question- A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are ident…

A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction. 2. The magnitude of the load W (in kN, round off to the nearest integer), is 2. 2. [GATE 2020: 2 Marks, Set-1]

Question- A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the sca…

$A prismatic linearly elastic bar of length, L, cross sectional area A, and made up of a material with Young's modulus E, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile force P1 and P2 the strain energies stored in the bar are U1 and U2 respectively. 1. 1. P_{1} 1. 1. P_{2} 1. 1. (P_{1} + P_{2}) 1. 1. If U is the strain energy stored in the same bar when subjected to an axial tensile force (P1 + P2) . the correct relationship is 1. 1. (a) U = U1 - U2 (c) U < U1 + U2 1. 1. (b) U = U1 + U2 1. 1. (d) U > U1 + U2 1. 1. [GATE 2020: 2 Marks, Set-II]$

A prismatic linearly elastic bar of length, L, cross sectional area A, and made up of a material with Young's modulus E, is subjected to axial tensile force as shown in the figures. When the bar is subjected to axial tensile force P1 and P2 the strain energies stored in the bar are U1 and U2 respectively. 1. 1. P_{1} 1. 1. P_{2} 1. 1. (P_{1} + P_{2}) 1. 1. If U is the strain energy stored in the same bar when subjected to an axial tensile force (P1 + P2) . the correct relationship is 1. 1. (a) U = U1 - U2 (c) U < U1 + U2 1. 1. (b) U = U1 + U2 1. 1. (d) U > U1 + U2 1. 1. [GATE 2020: 2 Marks, Set-II]

Question- A prismatic linearly elastic bar of length, L, cross sectional area A, and made up of a material with Young's modulus E, is subjected t…

Mechanical Properties of Materials

Properties of Metals Ductility Ductility is the property by which material can be stretched. Large deformations are thus possible in ductile material…

Water losses in water supply system, are assured as

Water losses in the water supply system, are assured as (a) 5% (C) 15% (b) 7.5% (d) 25% Show Answer The correct answer is option C . Can you …