Recent questions tagged structural-analysis

For the $6 \mathrm{~m}$ long horizontal cantilever beam $\mathrm{PQR}$ shown in the figure, $\mathrm{Q}$ is the midpoint. Segment $\mathrm{PQ}$ of the beam has flexural r...

A concrete column section of size $300 \mathrm{~mm} \times 500 \mathrm{~mm}$ as shown in the figure is subjected to both axial compression and bending along the major axi...

Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section...

​​​​​The beam shown in the figure is subjected to a uniformly distributed downward load of intensity $q$ between supports $\text{A}$ and $\text{B}$.Considering the upward...

​​​​​A homogeneous shaft $\text{PQR}$ with fixed supports at both ends is subjected to a torsional moment $\mathrm{T}$ at point $\mathrm{Q}$, as shown in the figure. The ...

The plane truss shown in the figure has $13$ joints and $22$ members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical...

An inverted $\mathrm{T}$-shaped concrete beam $\text{(B1)}$ in the figure, with centroidal axis $\mathrm{X}-\mathrm{X}$, is subjected to an effective prestressing force o...

A circular solid shaft of span $L=5 \mathrm{~m}$ is fixed at one end and free at the other end. A torque $T=100 \mathrm{~kN}$.m is applied at the free end. The shear modu...

When a simply-supported elastic beam of span $L$ and flexural rigidity $E I$ ( $E$ is the modulus of elasticity and $I$ is the moment of inertia of the section) is loaded...

Muller-Breslau principle is used in analysis of structures for ___________.drawing an influence line diagram for any force response in the structure writing the virtual w...

In the frame shown in the figure (not to scale), all four members $\text{(AB, } \mathrm{BC}, \mathrm{CD}$, and $\mathrm{AD})$ have the same length and same constant flexu...

With regard to the shear design of RCC beams, which of the following statements is/are TRUE? Excessive shear reinforcement can lead to compression failure in concreteBeam...

In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of $\text{PQ, QR,}$ and $\text{RP}$ are $4, 3,$ and $5$ ...

Two plates are connected by fillet welds of size $10 \mathrm{~mm}$ and subjected to tension, as shown in the figure. The thickness of each plate is $12 \mathrm{~mm}$. The...

A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support $\text{P}$ is ______________________ $\text{N}$ (...

For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The j...

Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block p...

A $2\text{D}$ thin plate with modulus of elasticity, $E=1.0 \mathrm{~N} / \mathrm{m}^{2}$, and Poisson's ratio, $\mu=0.5$, is in plane stress condition. The displacement ...

An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member $\mathrm{PQ}$ to the vertical memb...

consider the following three structures:Which of the following statements is/are TRUE?Structure I is unstableStructure II is unstableStructure III is unstableAll three st...

Consider a doubly reinforced RCC beam with the option of using either $\text{Fe250}$ plain bars or $\text{Fe500}$ deformed bars in the compression zone. The modulus of el...

Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place)...

Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, $A E$. Members $\mathrm{QR}, \mathrm{RS}$, and $\mathrm{ST}$ ...

Consider the beam shown in the figure (not to scale), on a hinge support at end $\mathrm{A}$ and a roller support at end $\mathrm{B}$. The beam has a constant flexural ri...

The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (i...

An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).

The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis $(Y-Y).$ The moment of inertia of the section about th...

Read the following statements relating to flexure of reinforced concrete beams:In over-reinforced sections, the failure strain in concrete reaches earlier than the yield ...

Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degre...

The components of pure shear strain in a sheared material are given in the matrix form:$$ \varepsilon = \begin{bmatrix} 1 & 1 \\ 1 & – 1 \end{bmatrix}$$Here, $\text{Trace...

For the square steel beam cross-section shown in the figure, the shape factor about $z – z$ axis is $S$ and the plastic moment capacity is $M_{p}.$ Consider yield stress ...

Which of the following statements(s) is/are correct?If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with...

Consider two linear elastic rods $HI$ and $IJ$, each of length $b$, as shown in the figure. The rods are co-linear, and confined between two fixed supports at $H$ and $J....

The linearly elastic planar structure shown in the figure is acted upon by two vertical concentrated forces. The horizontal beams $UV$ and $WX$ are connected with the hel...

Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the poi...

A semi-circular bar of radius $\text{R m}$, in a vertical plane, is fixed at the end $G$, as shown in the figure. A horizontal load of magnitude $\text{P kN}$ is applied ...

A weld is used for joining an angle section $\text{ISA}$ $100 \:mm \times 100\:mm \times 10 \:mm$ to a gusset plate of thickness $15$ $\text{mm}$ to transmit a tensile lo...

The plane truss shown in the figure is subjected to an external force $P$. It is given that $P = 70\; kN$, $a = 2\; m$, and $b = 3\; m$.The magnitude (absolute value) of ...

Consider a simply supported beam $\text{PQ}$ as shown in the figure. A truck having $100$ $\text{kN}$ on the front axle and $200$ $\text{kN}$ on the rear axle, moves from...

A reinforced concrete beam with rectangular cross section (width = $300$ $\text{mm}$, effective depth = $580$ $\text{mm}$) is made of $M30$ grade concrete. It has $1\%$ l...