Recent questions tagged structural-analysis

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A rectangular singly reinforced concrete beam has a width of $300 \text{ mm}$ and an effective depth of $550 \text{ mm}.$ The grades of steel and concrete are Fe$500$ and...
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As per IS:$800-2007$, design of a cantilever steel beam section for its moment capacity requires fulfilment of an upper bound, expressed as:\[M_{d} \leq 1.5 Z_{e} \frac{f...
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A plane strain problem (in $\text{X - Y}$ plane) must satisfy the condition:$\sigma_{z z}=0$$\epsilon_{z z}=\epsilon_{x z}=\epsilon_{y z}=0$$\sigma_{x x} \neq \sigma_{x y...
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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...
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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...
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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 ...
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Which of the following statements is/are TRUE with respect to the type of stresses to be considered for the design of rigid pavements?Warping stress due to temperature di...
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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 ...
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Linearly elastic, homogeneous, uniform bars $\text{BCD}$ and $\text{FG}$ shown in the figure have fixed supports at $\text{B}$ and $\text{G}$, respectively. For both the ...
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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 ...
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Black dot shown in the figure qualitatively represents the shear centre of the angle section. The option which represents the position of the shear centre is:
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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...
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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...
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Select ALL CORRECT option(s) which can be considered to check whether the flexural stresses in a prestressed concrete beam are within the allowable stresses at the transf...
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A homogenous, linearly elastic rod $\text{AB}$ is connected to a linearly elastic spring $\text{BC}$ in between the fixed supports at $\text{A}$ and $\text{C}$, as shown ...
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The cross-section of a steel $\text{T}$-beam is shown in the figure where all dimensions are in mm.The plastic section modulus of the given cross-section is $\_\_\_\_$ $\...
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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...
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The design shear strength of a reinforced concrete rectangular beam with a width of $250 \: \mathrm{mm}$ and an effective depth of $500 \: \mathrm{mm}$, is $0.3 \: \mathr...
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A circular tube of thickness $10 \: \mathrm{mm}$ and diameter $250\: \mathrm{mm}$ is welded to a flat plate using $5\: \mathrm{mm}$ fillet weld along the circumference. A...
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The figure shows a propped cantilever with uniform flexural rigidity $E I$ (in $\mathrm{N} . \mathrm{m}^{2}$ ) and subjected to a moment $M$ (in $\mathrm{N.m}$). Consider...
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Consider a reinforced concrete beam section of $350 \: \mathrm{mm}$ width and $600\: \mathrm{mm}$ depth. The beam is reinforced with the tension steel of $800 \mathrm{~mm...
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In the pin-jointed truss shown in the figure, the members that carry zero force are identified. Which of the following options is/are zero-force members?$\text{BC}$$\text...
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A steel beam supported by three parallel pin-jointed steel rods is shown in the figure. The moment of inertia of the beam is $8 \times 10^{7} \mathrm{~mm}^{4}$. Take modu...
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A reinforced concrete beam has a support section with width of $300 \: \mathrm{mm}$ and effective depth of $500 \: \mathrm{mm}$ . The support section is reinforced with $...
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​​​As per $\mathrm{IS } \: 456: 2000$ provisions for two-way slabs with continuous edges, the longitudinal steel reinforcement to be provided in the edge strip is based o...
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​​​​​Consider the frame shown in the figure under the loading of $100 \mathrm{kN} . \mathrm{m}$ couples at the joints $B$ and $G$. Considering only the effects of flexura...
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​​​In the rigid-jointed frame shown in the figure, the distribution factor of the member AD is closest to$0.254$$0.267$$0.398$$0.421$
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​​​​​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 ...
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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...
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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 ...
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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. ...
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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...
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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...
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​​​​​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...
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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...
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The structural design method that DOES NOT take into account the safety factors on the design loads isworking stress method.load factor method.ultimate load method.limit ...
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The steel angle section shown in the figure has elastic section modulus of $150.92 \mathrm{~cm}^{3}$ about the horizontal $\mathrm{X}-\mathrm{X}$ axis, which passes throu...
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​​​​​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 $m$ ...
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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 ...
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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...