26. Consider the following two statements related to structural steel design, and identify whether they are TRUE or FALSE:
    I. The Euler buckling load of a slender steel column depends on the yield strength of steel.
    II. In the design of laced column, the maximum spacing of the lacing does not depend on the slenderness of column as a whole.

1. 1. Both statements I and II are TRUE.

   
   
   

   2. Statement I is TRUE, and Statement II is FALSE.

   
   
   

   3. Statement I is FALSE, and statement II is TRUE.

   
   
   

   4. Both statements I and II are FALSE.

   
   
   

---

1. View Hint View Answer Discuss in Forum

   The maximum spacing of lacing depend on slenderness of column as a whole.

   Correct Option: B

   The maximum spacing of lacing depend on slenderness of column as a whole.

---

27. Identify the most efficient but joint (with double cover plates) for a plate in tension from the patterns (plan views) shown below, each comprising 6 identical bolts with the same pitch and gauge.
    

1. 1. 

   
   
   

   2. 

   
   
   

   3. 

   
   
   

   4. 

   
   
   

---

1. View Hint View Answer Discuss in Forum

   In (a) we get more net area, A net

   Correct Option: A

   In (a) we get more net area, A net

---

---

28. The members EJ and IJ of a steel truss shown in the figure below are subjected to a temperature rise of 30°C. The coefficient of thermal expansion of steel is 0.000012 per °C per unit length. The displacement (mm) of joint E relative to joint H along the direction HE of truss, is
    

1. 1. 0.255

   
   
   

   2. 0.589

   
   
   

   3. 0.764

   
   
   

   4. 1.026

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Expansion = 3000 √2 × 0.000012 × 30 = 1.527 mm
   Expansion of EJ = 1.03 mm.

   Correct Option: D

   Expansion = 3000 √2 × 0.000012 × 30 = 1.527 mm
   Expansion of EJ = 1.03 mm.

---

29. A bracket plate connected to a column flange transmits a load of 100 kN as shown in the following figure. The maximum force for which the bolts should be designed is _____ kN.
    

1. 1. 159

   
   
   

   2. 158

   
   
   

   3. 156.20

   
   
   

   4. 156

   
   
   

---

1. View Hint View Answer Discuss in Forum

   FD =	P	=	100	= 20 kN
   	n		5

   
   
   

   Ft =	(P.d)r
   	Σ r2

   
   

   =	100 × 600 × 75√2	= 141.42 kN
   	4 × (75√2)2

   
   
   √400 + 19999.616 + 3999.96
   = 156.204 kN

   Correct Option: C

   FD =	P	=	100	= 20 kN
   	n		5

   
   
   

   Ft =	(P.d)r
   	Σ r2

   
   

   =	100 × 600 × 75√2	= 141.42 kN
   	4 × (75√2)2

   
   
   √400 + 19999.616 + 3999.96
   = 156.204 kN

---

---

30. A symmetric I-section (with width of each flange = 50 mm, thickness of each flange = 10 mm, depth of web = 100 mm and thickness of web = 10 mm) of steel is subjected to a shear force of 100 kN. Find the magnitude of the shear stress (in N/mm²) in the web at its junction with the top flange.

1. 1. 71.12 N/mm²

   
   
   

   2. 61.12 N/mm²

   
   
   

   3. 51.12 N/mm²

   
   
   

   4. 21.12 N/mm²

   
   
   

---

1. View Hint View Answer Discuss in Forum

   
   

   I =	50 × 1203	-	40 × 1003
   	12		12

   
   = 3.866 × 10⁶ mm⁴
   

   q =	SAy	=	100 × 103 × 50 × 10 × 55
   	Ib		3.866 × 106 × 10

   
   = 71.12 N/mm²

   Correct Option: A

   
   

   I =	50 × 1203	-	40 × 1003
   	12		12

   
   = 3.866 × 10⁶ mm⁴
   

   q =	SAy	=	100 × 103 × 50 × 10 × 55
   	Ib		3.866 × 106 × 10

   
   = 71.12 N/mm²

---