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Recent questions tagged numericalanswers
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GATE2019 ME1: 40
Consider a prismatic straight beam of length $L=\pi \: m$, pinned at the two ends as shown in the figure. The beam has a square crosssection of side $p=6 \: mm$. The Young’s modulus $E=200 \: GPa$, and the coefficient of thermal expansion $\alpha = 3 \times 10^{6} K^{1}$. The minimum temperature rise required to cause Euler buckling of the beam is _______$K$.
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GATE2019 ME1: 41
In a UTM experiment, a sample of length $100 \: mm$, was loaded in tension until failure. The failure load was $40 \: kN$. The displacement, measured using the crosshead motion, at failure, was $15 \: mm$. The compliance of the UTM is constant and is given $5 \times 10^{8} \: m/N$. The strain at failure in the sample is ______$\%$
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GATE2019 ME1: 42
At a critial point in a component, the state of stress is given as $\sigma_{xx}=100 \: MPa, \: \sigma_{yy}=220 \: MPa, \: \sigma_{xy}= \sigma_{yx} = 80 \: MPa$ and all other stress cmponents are zero. The yield strength of the material is $468 \: MPa$ The factor of safety on the basis of maximum shear stress theory is ______ (round off to one decimal place)
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GATE2019 ME1: 43
A uniform thin disk of mass $1 \: kg$ and radius $0.1 \: m$ is kept on a surface as shown in the figure. A spring of stiffness $k_1=400 \: N/m$ is connected to the disk center $A$ ... disk. For small disturbance from the equilibrium, the natural frequency of vibration of the system is _____ $rad/s$ (round off to oe decimal place).
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GATE2019 ME1: 44
A single block brake with a short shoe and torque capacity of $250 \: N \cdot m$ is shown. THe cylindrical brake drum rotates anticlockwise at $100 \: rpm$ and the coefficient of friction is $0.25$. The value of $a$ in mm (round off to one decimal place), such that the minimum actuating force $P$ is $2000 \: N$, is ___________
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GATE2019 ME1: 49
A steam power cycle with regeneration as shown below on the $T$s diagram employs a single open feedwater heater for efficiency improvement. The fluid mix with each other in an open feedwater heater. The turbine is isentropic and the input (bleed) to the feedwater ... the turbine as a percentage of the total mass flow rate at the int=let to the turbine at state $1$ is _______
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GATE2019 ME1: 50
A gas turbine with air as the working fluid has an isentropic efficiency of $0.70$ when operating at a pressure ratio of $3$. Now, the pressure ratio of the turbine is increased to $5$, while maintaining the same inlet conditions. Assume air as a ... both the cases, the isentropic efficiency of the turbine at the pressure ratio of $5$ is _______ (round off to two decimal places)
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GATE2019 ME1: 51
The value of the following definite integral is ______ (round off to three decimal places) $\int_1^e (x \: \ln \: x) dx$
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GATE2019 ME1: 52
In ASA system, the side cutting and end cutting edge angles of a sharp turning tool are $45^{\circ}$ and $10^{\circ}$, respectively. The feed during cylindrical turning is $0.1 \: mm/rev$. The center line average surface roughness (in $\mu m$, round off to one decimal place) of the generated surface is ______
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GATE2019 ME1: 53
Taylor’s tool life equation is given by $VT^n=C$, where $V$ is in $m/min$ and $T$ is in $min$. In a turning operation, two tools X and Y are used. For tool X, $n=0.3$ and $C=60$ and for tool Y, $n=0.6$ and $C=90$. Both the tools will have the same tool life for the cutting speed (in $m/min$, round off to one decimal place) of ________
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GATE2019 ME1: 54
Five jobs (J1, J2, J3, J4 and J5) need to be processes in a factory. Each job can be assigned to any of the five different machines (M1, M2, M3, M4 and M5). The time durations taken (in minutes) by the machines for each of the jobs, are given in the table. However, ...
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GATE2019 ME1: 55
A project consists of six activities. The immediate predecessor of each activity and the estimated duration is also provided in the table below: ... amount of time, the maximum duration (in weeks) of the activity $S$ without delaying the completion of the project is ________
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