Recent questions in Structural Analysis

A single story building model is shown in the figure. The rigid bar of mass ‘$\text{m}$’ is supported by three massless elastic columns whose ends are fixed against rotat...

A prismatic fixed-fixed beam, modelled with a total lumped-mass of $\text{10 kg}$ as a single degree of freedom $\text{(SDOF)}$ system is shown in the figure.If the flexu...

The equation of deformation is derived to be $y=x^{2}-xL$ for a beam shown in the figure.The curvature of the beam at the mid-span (in units, in integer) will be ________...

A truss $\text{EFGH}$ is shown in the figure, in which all the members have the same axial rigidity $\text{R}$. In the figure, $\text{P}$ is the magnitude of external hor...

Employ stiffness matrix approach for the simply supported beam as shown in the figure to calculate unknown displacements/rotations. Take length, $L=8\text{ m}$; modulus o...

Consider the planar truss shown in the figure (not drawn to the scale)Neglecting self weight of the numbers, the number of zero-force members in the truss under the actio...

A rigid, uniform, weightless, horizontal bar is connected to three vertical members P , Q and R as shown in the figure (not drawn to the scale). All three members have id...

A weightless cantilever beam of span L is loaded as shown in the figure. For the entire span of the beam, the material properties are identical and the cross section is r...

Joints $I,J,K,L,Q$ and $M$ of the frame shown in the figure (not drawn to the scale) are pins. Continuous members $IQ$ and $LJ$ are connected through a pin at $N$. Contin...

The plane truss has hinge supports at $P$ and $W$ and is subjected to the horizontal forces as shown in the figure (not drawn to the scale)Representing the tensile force ...

Consider the following frame in the figure:If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree...

Two prismatic beams having the same flexural rigidity of $1000 \: kN-m^2$ are shown in the figures.If the mid-span deflections of these beams are denoted by $\delta_1$ an...

Consider the prismatic beams with the clamped supports P, Q, and R as shown in the figures.Given that eh modulus of elasticity, $E$ is $2.5 \times 10^4$ MPa; and the mome...

Consider the portal frame shown in the figure and assume the modulus of elasticity, $E=2.5 \times 10^4$ MPa and the moment of inertia, $I= 8 \times 10^8 \: mm^4$ for all ...

A plane truss is shown in the figure (not drawn to scale).Which one of the options contains ONLY zero force members in the truss?$\text{FG,FI,HI,RS}$$\text{FG,FH,HI,RS}$$...

Consider the pin-jointed plane truss shown in the figure $\text{(not drawn to scale)}$.Let $R_{P}, R_{Q}$ and $R_{R}$ denote the vertical reactions (upward positive) appl...

The rigid-jointed plane frame QRS shown in the figure is subjected to a load $P$ at the joint $R$. Let the axial deformations in the frame be neglected. If the support $S...

A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of $50 \: kN$ is acting at joint in R in ...

The degree of static indeterminacy of the plane frame as shown in the figure is ________

A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are $k_x = k_y = 5 \times 10^5 kN/m$ and $k_{\theta} =3 \times...

A rolled $I$-section beam is supported in a $75 \: mm$ wide bearing plate as shown in the figure. Thicknesses of flange and web of the $I$ section $20 \: mm$ and $8 \: mm...

The portal frame shown in the figure is subjected to a uniformly distributed vertical load $w$ (per unit length).The bending moment in the beam at the joint ‘Q’ iszero$\d...

Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint $\textbf{B}$ be $H_B$ and $V_B$, respectively and $V_C...

A $3$ m long simply supported beam of uniform cross section is subjected to a uniformly distributed load of $w=20$kN/m in the central $1$ m as shown in the figure.If the ...

Two beams $PQ$ (fixed at $P$ and with a roller support at $Q$, as shown in Figure I, which allows vertical movement) and $XZ$ (with a hinge at $Y$) are shown in the Figur...

A plane truss with applied loads is shown in the figure.The members which do not carry any force areFT, TG, HU, MP, PLET, GS, UR, VR, QLFT, GS, HU, MP, QLMP, PL, HU, FT, ...

The figure shows a two-hinged parabolic arch of span $L$ subjected to a uniformly distributed load of intensity $q$ per unit length.The maximum bending moment in the arch...

A planar truss tower structure is shown in the figure.Consider the following statements about the external and internal determinacies of the truss.Externally DeterminateE...

The value of $M$ in the beam ABC shown in the figure is such that the joint B does not rotate.The value of support reaction (in kN) at B should be equal to _________.

A horizontal beam $ABC$ is loaded as shown in the figure below. The distance of the point of contraflexure from end $A$ (in m) is _________

A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness $k_x, k_y$ and $k_{\theta}$ respectivel...

A simply supported beam AB of span, $L=24$ m is subjected to two wheel loads acting at a distance, $d=5$ m apart as shown in the figure below. Each wheel transmits a load...

For the beam shown below, the stiffness coefficient $K_{22}$ can be written as$\dfrac{6EI}{L^2} \\$$\dfrac{12EI}{L^3} \\$$\dfrac{3EI}{L} \\$$\dfrac{EI}{6L^2}$

Consider the singly reinforced beam section given below (left figure). The stress block parameters for the cross-section from $IS:456-2000$ are also given below (right fi...

For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section ...

The tension (in kN) in a $10$ m long cable, shown in the figure, neglecting its self-weight is$120$$75$$60$$45$

For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______

For the cantilever beam of span $3$ m (shown below) m concentrated load of $20 \: kN$ applied at the free end causes a vertical displacement of $2$ mm at a section locate...