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GATE2021: STEEL & MECHANICS Rapid Mini Mock
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Question 1
Two plates subjected to direct axial tension, each of 16 mm thick and having width 150 mm and 250 mm respectively are to be fillet welded. The yield stress and the ultimate tensile stress of steel and welds are 250 MPa and 410 MPa respectively. The welding is done at a shop (ϒmw =1.25). The joint is subjected to a factored load of 400 kN. The length of the weld required using minimum permissible weld size is
Question 2
22 kN
D. 509.24 kN
23. A flat of 120 ISF 10 with 18 mm diameter bolt holes as shown in the figure. The yield and ultimate tensile strength of flat are 250 MPa and 410 MPa respectively and partial safety factor governed by yield and ultimate tensile strength respectively are 1.10 and 1.25. The design tensile strength of a flat based on gross section yielding is
D. 509.24 kN
23. A flat of 120 ISF 10 with 18 mm diameter bolt holes as shown in the figure. The yield and ultimate tensile strength of flat are 250 MPa and 410 MPa respectively and partial safety factor governed by yield and ultimate tensile strength respectively are 1.10 and 1.25. The design tensile strength of a flat based on gross section yielding is
Question 3
A 12 mm thick angle member is connected to a 16 mm thick gusset plate as a strut in a roof truss, to achieve minimum and maximum strength of fillet weld respectively, then minimum size of fillet weld is __mm and maximum size of fillet weld is ___mm
Question 4
A simple mass-spring oscillatory system consists of a mass m, suspended from a spring of stiffness k. Considering z as the displacement of the system at any time t, the equation of motion for the free vibration of the system is 
The natural frequency of the system is
The natural frequency of the system isQuestion 5
What is the plastic moment capacity (in kNm) in the portal frame shown in figure ? The frame has a uniform cross section throughout.
Question 6
Consider the following statements
I. Effective length of a battened column is usually increased to account for the additional load on battens due to the lateral expansion of columns.
II. As per IS: 800-1984, permissible stress in bending compression depends on both Euler buckling stress and the yield stress of steel.
III. As per IS: 800-1984, the effective length of a column effectively held in position at both ends but not restrained against rotation, is taken to be greater than that in the ideal end conditions.
The TRUE statements are
I. Effective length of a battened column is usually increased to account for the additional load on battens due to the lateral expansion of columns.
II. As per IS: 800-1984, permissible stress in bending compression depends on both Euler buckling stress and the yield stress of steel.
III. As per IS: 800-1984, the effective length of a column effectively held in position at both ends but not restrained against rotation, is taken to be greater than that in the ideal end conditions.
The TRUE statements are
Question 7
A bracket connection is formed as shown in figure using 4 bolts of 20 mm dia and grade 4.6. The service load P (in kN) that can be carried by the connection is
[Use LSM and assume failure to be critical in shear and failure shear plane lies in threaded portion of bolt]
[Use LSM and assume failure to be critical in shear and failure shear plane lies in threaded portion of bolt]
Question 8
A square steel slab base of area 2.25 m2 is provided for a column made of two rolled channel sections. The 450 mm x 450 mm column carries an axial compressive load of 2500 kN. The line of action of the load passes through the centroid of the column section as well as of the slab base. The permissible bending stress in the slab base is 180 MPA. The required minimum thickness of the slab base is _________ mm.
Question 9
A truss tie consisting of 2 ISA 100 mm x 100 mm x 10 mm carries a pull of 200 kN. At ends the two angles are connected, one each on either side of a 10 mm thick gusset plate, by 20 mm diameter rivets arranged in one row. The allowable stresses in rivet are , fs = 90.0 N/mm2 and fbr = 250 N/mm2. Assuming both the angle sections are not tack riveteD. The maximum tensile stress (in N/mm2) in the tie is
Question 10
Block A weighing 200 kg resting on the rough floor supports block B weighing 100 kg as shown in the figure. Both the blocks are connected with a rope passing over a smooth pulley. Find the force P required to impending motion. (Take 
and coefficient of friction = 0.3)
and coefficient of friction = 0.3) Question 11
A bullet of weight 1.4g enters a wooden partition block at a velocity of 955 m/s and 0.003s after entering the block. Determine the length penetration of bullet.
Question 12
A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let RAh and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the vertical reaction at support A. Self- weight of the member may be ignored.
Which one of the following sets gives the correct magnitudes of 
and 
?
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Dec 15ESE & GATE CE
