Recent questions tagged numerical-answers

If the weights retained on the $2.36 \: \mathrm{~mm}, 1.18 \: \mathrm{~mm}, 600 \: \mu \mathrm{~m}$, and $300 \: \mu \mathrm{~m}$ sieves are $30 \%, 35 \%, 15 \%$, and $2...

Road $A$ and Road $B$ are joined by a circular horizontal curve of radius $200 \: \mathrm{m}$ as shown in the figure. Road $A$ and Road $B$ are tangential to the curve at...

​​​In the rigid-jointed frame shown in the figure, the distribution factor of the member AD is closest to$0.254$$0.267$$0.398$$0.421$

​​​​In an oedometer apparatus a specimen of fully saturated clay has been consolidated under a vertical pressure of $100 \mathrm{ kPa}$ and is at equilibrium state. Immed...

​​​​​$\mathrm{MgCl}_{2}$ and $\mathrm{CaSO}_{4}$ salts are added to $1$ litre of distilled deionized water and mixed until completely dissolved. Total Dissolved Solids (T...

Organic fraction of municipal solid waste (OFMSW) with bulk density of $315 \mathrm{~kg} / \mathrm{m}^{3}$ and water content of $30 \%$ is mixed with municipal sludge of ...

Let $y$ be the solution of the initial value problem $y^{\prime \prime}+0.8 y^{\prime}+0.16 y=0$, where $y(0)=3$ and $y^{\prime}(0)=4.5$. Then, $y(1)$ is equal to $\_\_\_...

Consider the differential equation given below. Using the Euler method with the step size $(h)$ of $0.5$, the value of $y$ at $x=1.0$ is equal to $\_\_\_\_\_$ (rounded of...

For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by $\alpha M_{0} / 8 E I$. The val...

Consider the rigid bar $ABC$ supported by the pin-jointed links $BD$ and $CE$ and subjected to a load $P$ at the end $A$, as shown in the figure. The axial rigidities of ...

Consider a reinforced concrete beam section of $300 \: \mathrm{mm}$ width and $700 \: \mathrm{mm}$ depth. The beam is reinforced with the tension steel of $2000 \: \mathr...

Consider the beam section shown in the figure, with $\bar{y}$ indicating the depth of neutral axis $(NA)$. The section is only subjected to an increasing bending moment. ...

Consider the built-up column made of two $I$-sections as shown in the figure, with each batten plate bolted to a component $I$-section of the column through $6$ black bol...

A cut slope is made in a silty clay soil for a new road project, as shown in the figure. The locations of ground water table (GWT) and potential failure surface are shown...

A hydraulic jump is formed in a $5 \: \mathrm{m}$ wide rectangular channel, which has a horizontal bed and is carrying a discharge of $15 \mathrm{~m}^{3} / \mathrm{s}$. T...

A one-way, single lane road has traffic that consists of $30 \%$ trucks and $70 \%$ cars. The speed of trucks (in $\mathrm{km} / \mathrm{h}$ ) is a uniform random variabl...

​​​​A partial differential equation\[\frac{\partial^{2} T}{\partial x^{2}}+\frac{\partial^{2} T}{\partial y^{2}}=0\]is defined for the two-dimensional field $T: T(x, y)$,...

​​​​The statements $\mathrm{P}$ and $\mathrm{Q}$ are related to matrices $\mathbf{A}$ and $\mathbf{B}$, which are conformable for both addition and multiplication.$\text{...

A $3 \mathrm{~m}$ long, horizontal, rigid, uniform beam $\mathrm{PQ}$ has negligible mass. The beam is subjected to a $3 \mathrm{kN}$ concentrated vertically downward for...

​​​​​Consider the following data for a project of $300$ days duration.Budgeted Cost of Work Scheduled (BCWS) = Rs. $200$Budgeted Cost of Work Performed (BCWP) = Rs. $150$...

A simply supported, uniformly loaded, two-way slab panel is torsionally unrestrained. The effective span lengths along the short span $\text{(x)}$ and long span $\text{(y...

​​​​​​For a reconnaissance survey, it is necessary to obtain vertical aerial photographs of a terrain at an average scale of $1: 13000$ using a camera. If the permissible...

To finalize the direction of a survey, four surveyors set up a theodolite at a station $\mathrm{P}$ and performed all the temporary adjustments. From the station $\mathrm...

A $2 \mathrm{~m}$ wide rectangular channel is carrying a discharge of $30 \mathrm{~m}^{3} / \mathrm{s}$ at a bed slope of $1$ in $300$. Assuming the energy correction fac...

A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio $(l / r)$ of $105$, where $l$ is the bar length and $r$ is the radius ...