Tension Members · Steel Structures · GATE CE

A steel member ‘M’ has reversal of stress due to live loads, whereas another member ‘N’ has reversal of stress due to wind load. As per $$IS$$ $$800: 2007,$$ the maximum slenderness ratio permitted is:
$$\left( 1 \right)\,\,\,\,\,$$ Lesser for member $$‘M’$$ than that of member $$‘N’$$
$$\left( 2 \right)\,\,\,\,\,$$ More for member $$‘M’$$ than for member $$‘N’$$
$$\left( 3 \right)\,\,\,\,\,$$ Same for both the members
$$\left( 4 \right)\,\,\,\,\,$$ Not specified in the Code

In the design of welded tension members, consider the following statements:

$${\rm I}.\,\,\,\,\,\,\,\,\,$$ The entire cross-sectional area of the connected leg is assumed to contribute to the effective area in case of angles.
$${\rm II}.\,\,\,\,\,\,\,\,\,$$ Two angles back-to-back and tack-welded as per code requirements may be assumed to be behave as a $$T$$-section
$${\rm III}.\,\,\,\,\,\,\,\,\,$$ A check on slenderness ratio may be necessary in some cases.

The TRUE statements are

The permissible stress in axial tension in steel member on the net effective area of the section shall not exceed the following value ($${{f_y}}$$ is the yield stress)

Two plates are connected by fillet welds of size 10 mm and subjected to tension, as shown in the figure. The thickness of each plate is 12 mm. The yield stress and the ultimate stress of steel under tension are 250 MPa and 410 MPa, respectively. The welding is done in the workshop (partial safety factor, 𝛾_𝑚𝑤 = 1.25). As per the Limit State Method of IS 800: 2007, what is the minimum length (in mm, rounded off to the nearest higher multiple of 5 mm) required of each weld to transmit a factored force P equal to 275 kN? 

Two bolted plates under tension with alternative arrangement 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 $$1$$?

Two equal angles $$ISA$$ $$100\,\,mm \times 100\,\,mm$$ of thickness $$10$$ $$mm$$ are placed back-to-back and connected to the either side of a gusset plate through a single row of $$16$$ $$mm$$ diameter rivets in double shear. The effective areas of the connected and unconnected legs of each of these angles are $$775$$ $$m{m^2}$$ and $$950$$ $$m{m^2},$$ respectively. If these angles are NOT Tack riveted, the net effective area of this pair of angle is

A truss tie consisting of $$2$$ $$ISA$$ $$75 \times 75 \times 8\,\,mm$$ carries a pull of $$150$$ $$kN.$$ At ends the two angles are connected, one each on either side of a $$10$$ $$mm$$ thick gusset plate, by $$18$$ $$mm$$ diameter rivets arranged in one row. The allowable stresses in rivet are $${f_s} = 90.0\,\,N/m{m^2}$$ and $${f_{br}} = 250\,\,N/m{m^2}$$.

Maximum tensile stress in the tie in $$N/m{m^2}$$ is

A truss tie consisting of $$2$$ $$ISA$$ $$75 \times 75 \times 8\,\,mm$$ carries a pull of $$150$$ $$kN.$$ At ends the two angles are connected, one each on either side of a $$10$$ $$mm$$ thick gusset plate, by $$18$$ $$mm$$ diameter rivets arranged in one row. The allowable stresses in rivet are $${f_s} = 90.0\,\,N/m{m^2}$$ and $${f_{br}} = 250\,\,N/m{m^2}$$.

Minimum number of rivets required at each end is

$$ISA$$ $$100 \times 100 \times 10\,\,mm$$ (Cross sectional area $$ = 1903\,\,m{m^2})$$ serves as tensile member. This angle is welded to a gusset plate along $$A$$ and $$B$$ appropriately as shown. Assuming the yield strength of the steel to be $$260$$ $$N/m{m^2}$$ the tensile strength of the member can be taken to be approximately

Two steel plates each of width $$150$$ $$mm$$ and thickness $$10$$ $$mm$$ are connected with three $$20$$ $$mm$$ diameter rivets is placed in zig-zag pattern. The pitch of the rivet is $$75$$ $$mm$$ and gauge is $$60$$ $$mm.$$ If the allowable tensile stress is $$150$$ $$MPa,$$ the maximum tensile force that the joint can withstand is

A steel flat of rectangular section of size $$70 \times 6\,\,mm$$ is connected to a gusset plate by three bolts each having a shear capacity of $$15$$ $$kN$$ in holes having diameter $$11.5$$ $$mm.$$ If the allowable tensile stress in the flat is $$150$$ $$MPa,$$ the maximum tension that can be applied to the flat is