GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

Question : 64 of 65

Marks: +1, -0

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 plate is subjected to a point load of

350 {kN}

acting at a distance of

100 {mm}

from the flange plate. Size of fillet weld is

10 {mm}

The maximum resultant stress (in MPa, round off to 1 decimal place) on the fillet weld along the vertical plane would be

Your Answer:

Validate

Solution:

As per IS 800: 2007
Equivalent maximum resultant stress due to combination of normal & shear stress

= {f}_{ {e}}=√{ {f}_{ {a}}^{2}+3 {q}^{2}}

{f}_{ {a}}=

normal stress due to bending

{q}=

shear stress

q=\;{\;\text " shear force "\;}/{\;\text " shear area "\;}=\;{350 {kN}}/{ {dt}+ {dt}}

{t}=

effective throat thickness

= {ks}( {s}=

size of weld

)

⇒ {t}=0.7 × 10=7 {mm}

⇒ {q}=\;{350 × 1000}/{2 × 10 × 500}=50 {N} {/} {mm}^{2}

{f}_{ {a}}=\;{ {Pe}}/{ {z}}=\;{350 × 1000 × 100}/{2 × 7 × \;{(500)^{2}}/{6}}=60 {N} {/} {mm}^{2} \;\; ( {Z}=\;{(2 {t}) {d}^{2}}/{6})

⇒ {f}_{ {c}}=√{60^{2}+3 × 50^{2}}=105.35 {MPa}

Go to Question:

Prev Question

Next Question