1
GATE ME 2022 Set 2
Numerical
+2
-0

A cylindrical billet of 100 mm diameter and 100 mm length is extruded by a direct extrusion process to produce a bar of L-section. The cross sectional dimensions of this L-section bar are shown in the figure. The total extrusion pressure (p) in MPa for the above process is related to extrusion ratio (r) as

$\rm p=K_s σ_m\left[0.8+1.5\ ln(r)+\frac{2l}{d_0}\right] $

where σm, is the mean flow strength of the billet material in MPa, l is the portion of the billet length remaining to be extruded in mm, d0 is the initial diameter of the billet in mm, and Ks is the die shape factor.

If the mean flow strength of the billet material is 50 MPa and the die shape factor is 1.05, then the maximum force required at the start of extrusion is _______ kN (round off to one decimal place).

GATE ME 2022 Set 2 Production Engineering - Metal Forming Question 2 English
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2
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33
Which one of the following is the definition of ultimate tensile strength (UTS) obtained from a stress-strain test on a metal specimen?
A
Stress value where the stress-strain curve transitions from elastic to plastic behavior
B
The maximum load attained divided by the original cross-sectional area
C
The maximum load attained divided by the corresponding instantaneous cross-sectional area 
D
Stress where the specimen fractures
3
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33
A structural member under loading has a uniform state of plane stress which in usual notations is given by σ= 3P, σy = -2P and τxy = √2 P, where P > 0. The yield strength of the material is 350 MPa. If the member is designed using the maximum distortion energy theory, then the value of P at which yielding starts (according to the maximum distortion energy theory) is
A
70 MPa
B
90 MPa
C
120 MPa
D
75 MPa
4
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.66

A linear elastic structure under plane stress conditions is subjected to two sets of loading, I and II. The resulting states of stress at a point corresponding to these two loadings are as shown in the figure below. If these two sets of loading are applied simultaneously, then the net normal component of stress σxx is ________

GATE ME 2022 Set 2 Strength of Materials - Complex Stresses Question 3 English
A
3σ/2
B
σ(1 + 1/√2)
C
σ/2
D
σ(1 - 1/√2)
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