A machine punching 38 mm holes in 32 mm thick plate requires 7 N-m of energy per sq. mm of sheared area, find the maximum shear force required.

In a punching press, the requirement is to punch 40 mm diameter holes in a plate having a thickness of 15 mm. The rate at which the holes should be punched is 30 holes/min. Energy requirement is of 6 N-m per mm2 of sheared area. If the punching takes time 1/10 of a second and the speed of the flywheel varies from 160 to 140 rpm, determine the mass of the flywheel having radius of gyration of 1 m.

A

327 Kg

B

654 Kg

C

163.5 Kg

D

200 Kg

To effect a bond between two metal plates, 2.5 cm and 15 cm thick, heat is uniformly applied through the thinner plate by a radiant heat source. The bonding must be held at 320 K for a short time. When the heat source is adjusted to have a steady value of 43.5 k W/m2, a thermocouple installed on the side of the thinner plate next to source indicates a temperature of 345 K. Calculate the temperature gradient for heat conduction through thinner plate. In the diagram, the upper plate is 2.5 cm thick while the lower is 15 cm thick.

A

– 1000 degree Celsius/m

B

– 2000 degree Celsius/m

C

– 3000 degree Celsius/m

D

– 4000 degree Celsius/m

If q is the punching shear resistance per unit area a, is the side of a square footing for a column of side b, carrying a weight W including the weight of the footing, the depth (D) of the footing from punching shear consideration, is

A

$${\text{D}} = \frac{{{\text{W}}\left( {{\text{a}} - {\text{b}}} \right)}}{{4{{\text{a}}^2}{\text{bq}}}}$$

B

$${\text{D}} = \frac{{{\text{W}}\left( {{{\text{a}}^2} - {{\text{b}}^2}} \right)}}{{4{{\text{a}}^2}{\text{bq}}}}$$

C

$${\text{D}} = \frac{{{\text{W}}\left( {{{\text{a}}^2} - {{\text{b}}^2}} \right)}}{{8{{\text{a}}^2}{\text{bq}}}}$$

D

$${\text{D}} = \frac{{{\text{W}}\left( {{{\text{a}}^2} - {{\text{b}}^2}} \right)}}{{4{\text{abq}}}}$$

A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.

A

B

D

C

B

D

C

In Sanjay Cafe, the charges for Maharashtrian meal plate is Rs. 45 and charges for South Indian meal plate is Rs. 60. In a particular month, 40 Maharashtrian meal plate were served while number of South Indian meal plate served was 65, then what is the ratio of total charges collected for Maharashtrian meal plate and total charges collected for South Indian meal plate?

A

26 : 8

B

13 : 6

C

3 : 26

D

25 : 4

E

6 : 13

Rinki has three plates of Jalebies: Plate A, Plate B and Plate C. Plate A has only one Jalebi, Plate B has five Jalebies and Plate C has three Jalebies. She wants to put equal numbers of Jalebies in all the plates. Which of the following statement is true?

A

Take two Jalebies from Plate B and put in Plate A

B

Take one Jalebi from Plate B and one from Plate C and put both in plate A

C

All three plates cannot have equal number of Jalebies

D

Take one Jalebi from Plate A and put in Plate C so that Plate B and Plate C have equal number of Jalebies.

The maximum shear force required to cause the fracture on any metal surface is empirically defined as _____________ (Where σu – ultimate tensile strength of the metal, h-sheet thickness, L- total length of the sheared edge)

A

σuhL

B

0.5σuhL

C

0.7σuhL

D

σuh/L

According to the Planning Commission of India, which of the following are correct for the poverty line? I. Rs 42 per capita per day in urban area II. Rs 26 per capita per day in rural area III. Rs 32 per capita per day in urban area IV. Rs 32 per capita per day in rural area Choose the correct option from the following.

A

I and II

B

I and III

C

II and III

D

III and IV

A steel sheet of thickness 25 mm is sheared with a knife, and the fracture length is 50 mm. Find the shear force required, if the tensile strength of steel is 250 MPa?

A

500 kN

B

250 kN

C

218 kN

D

238 kN

The depth of footing for an isolated column is governed by
i) maximum bending moment
ii) shear force
iii) punching shear
The correct answer is

A

Only (i)

B

(i) and (ii)

C

(i) and (iii)

D

(i), (ii) and (iii)

A machine punching 38 mm holes in 32 mm thick plate requires 7 N-m of energy per sq. mm of sheared area, find the maximum shear force required.

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