Recent questions and answers in Structural Analysis

The horizontal beam shown in the figure has fixed supports at $\text{F}$ and $\text{L}.$ Internal hinges are provided at locations $\text{G}$ and $\text{J}$. The beam sup...

A simply supported, linearly elastic, homogeneous, prismatic beam of length $L$ and flexural rigidity $E I$ is shown in the figure.The expression for the Influence Line D...

The plane truss shown in the figure is hinge-supported at $\text{E}$ and $\text{F}$. The truss is subjected to vertical downward force at $\text{R}$ and horizontal force ...

A rigid-jointed portal frame, shown in the figure, consists of beam and columns of equal length $L$. The frame has a fixed support at one end and a roller support at the ...

A simply-supported rectangular reinforced concrete beam has a width $250$ mm and an overall depth $600$ mm . The effective span of the beam is $6.23$ m. The beam carries ...

A plane truss consists of two linearly elastic, homogeneous, identical members, namely PQ and QR. Both members have length ( $L$ ), cross-sectional area ( $A$ ), and modu...

The plane frame has a hinge and a roller support, and is loaded as shown in the figure. Both the columns have same height.What is the absolute value of the maximum bendin...

Consider the pin-jointed truss shown in the figure. Influence line is drawn for the axial force in the member G-I, when a unit load travels on the bottom chord of the tru...

A steel beam supported by three parallel pin-jointed steel rods is shown in the figure. The moment of inertia of the beam is $8 \times 10^{7} \mathrm{~mm}^{4}$. Take modu...

​​​​​Consider the frame shown in the figure under the loading of $100 \mathrm{kN} . \mathrm{m}$ couples at the joints $B$ and $G$. Considering only the effects of flexura...

​​​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$

​​​​​Consider the beam $\text{ACDEB}$ given in the figure. Which of the following statements is/are correct:Bending moment is zero between the points $A$ and $C$There is ...

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 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. ...

​​​​​For a thin-walled section shown in the figure, points $\text{P, Q}$, and $\text{R}$ are located on the major bending axis $\mathrm{X}-\mathrm{X}$ of the section. Poi...

​​​​​A linearly elastic beam of length $2 l$ with flexural rigidity $E I$ has negligible mass. A massless spring with a spring constant $k$ and a rigid block of mass $m$ ...

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...

The horizontal beam $\mathrm{PQRS}$ shown in the figure has a fixed support at point $\mathrm{P}$, an internal hinge at point $Q$, and a pin support at point $R$. A conce...

Consider the data of $f(x)$ given in the table.\begin{array}{|c|c|c|c|}\hline i & 0 & 1 & 2 \\\hline x_{i} & 1 & 2 & 3 \\\hline f\left(x_{i}\right) & 0 & 0.3010 & 0.4771 ...

The plane frame shown in the figure has fixed support at joint $\text{A}$, hinge support at joint $\text{F}$, and roller support at joint $\text{I}$. In the figure, $\tex...

​​​​​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...

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...

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...

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...

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 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...

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).

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...

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...

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...

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 ...