Exams › GATE › Technical

The critical bending compressive stress in the extreme fibre of a structural steel section is 1000 MPa. It is given that the yield strength of the steel is 250 MPa, width of flange is 250 mm, and thickness of flange is 15 mm. As per the provisions of IS 800:2007, the non-dimensional slenderness ratio of the steel cross-section is

1. 0.25
2. 0.50
3. 0.75
4. 2.00

Correct answer: 0.50

Solution

As per IS 800:2007, the non-dimensional slenderness ratio is $\bar\lambda=\sqrt{f_y/f_{cr}}$. Substituting $f_y=250$ MPa and $f_{cr}=1000$ MPa gives $\bar\lambda=\sqrt{250/1000}=0.5$.

Related GATE Technical questions

• Two bolted plates under tension with alternative arrangements of bolt holes are shown in Figures 1 and 2. The hole diameter, pitch, and gauge length are \(d\), \(p\), and \(g\), respectively. Which one of the following conditions must be ensured to have higher net tensile capacity of configuration shown in Figure 2 than that shown in Figure 1?
• The three-dimensional state of stress at a point is given by $\sigma = \begin{bmatrix}10 & 0 & 0\\0 & 40 & 0\\0 & 0 & 0\end{bmatrix}$ MPa. The maximum shear stress at the point is
• Consider the statements P and Q. P: Client’s preliminary estimate is used for budgeting costs toward the end of the planning and design phase. Q: Client’s detailed estimate is used for controlling costs during the execution of the project. Which one of the following options is correct?
• The following figure shows the arrangement of formwork for casting a cantilever RC beam. The correct sequence of removing the shores/props is
• A 2 m wide strip footing is founded at a depth of 1.5 m below ground level in a homogeneous pure clay bed. The clay bed has unit cohesion of 40 kPa. Due to seasonal fluctuations of the water table from peak summer to peak monsoon period, the net ultimate bearing capacity of the footing, as per Terzaghi’s theory, will
• Consider the statements P and Q. P: Soil particles formed by mechanical weathering and close to their origin are generally subrounded. Q: The activity of clay physically signifies its swell potential. Which one of the following options is correct?

⚔️ Practice GATE Technical free + battle 1v1 →