Theory Of Structures — Part 2 MCQs with Explanations
Practice high-yield Civil Engineering MCQs on Theory Of Structures — Part 2 with worked academic solutions for PPSC SDO, FPSC AEE, C&W, Irrigation, NTS.
Questions
40
Difficulty Level
Exam-Level
Target Exams
PPSC SDO, FPSC AEE, C&W...
Estimated Time
48 mins
Exam-Level PPSC SDO FPSC AEE C&W Irrigation NTS
Verified for Commission Syllabus • Oct 14, 2026
40
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🎉 Set complete! All 40 questions answered.
Question 1 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
Maximum principal stress theory for the failure of a material at elastic point, is known
Correct Answer: Option C — Rankine's theory
Detailed Academic Explanation:
Rankine's theory is the correct answer to “Maximum principal stress theory for the failure of a material at elastic point, is known”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 2 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
$${\text{P}} = \frac{{4{\pi ^2}{\text{E}}I}}{{{{\text{L}}^2}}}$$ is the equation of Euler's crippling load if
Correct Answer: Option A — Both the ends are fixed
Detailed Academic Explanation:
Both the ends are fixed is the correct answer to “$${\text{P}} = \frac{{4{\pi ^2}{\text{E}}I}}{{{{\text{L}}^2}}}$$ is the equation of Euler's crippling load if”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 3 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The shape factor of standard rolled beam section varies from
Correct Answer: Option A — 1.10 to 1.20
Detailed Academic Explanation:
1.10 to 1.20 is the correct answer to “The shape factor of standard rolled beam section varies from”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 4 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
In plastic analysis, the shape factor for a circular section, is
Correct Answer: Option C — 1.7
Detailed Academic Explanation:
1.7 is the correct answer to “In plastic analysis, the shape factor for a circular section, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 5 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The ratio of the deflections of the free end of a cantilever due to an isolated load at $${\frac{1}{3}^{{\text{rd}}}}$$ and $${\frac{2}{3}^{{\text{rd}}}}$$ of the span, is
Correct Answer: Option B — $$\frac{2}{7}$$
Detailed Academic Explanation:
$$\frac{2}{7}$$ is the correct answer to “The ratio of the deflections of the free end of a cantilever due to an isolated load at $${\frac{1}{3}^{{\text{rd}}}}$$ and $${\frac{2}{3}^{{\text{rd}}}}$$ of the span, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 6 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If E steel = 2 × 10 6 kg/cm 2 , the side of the rod, is
Correct Answer: Option C — 2 cm
Detailed Academic Explanation:
2 cm is the correct answer to “A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If E steel = 2 × 10 6 kg/cm 2 , the side of the rod, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 7 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The assumption in the theory of bending of beams is:
Correct Answer: Option D — All the above
Detailed Academic Explanation:
All the above is the correct answer to “The assumption in the theory of bending of beams is:”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 8 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being E$$I$$, is
Correct Answer: Option D — $$\frac{{{\text{W}}{{\text{L}}^3}}}{{48{\text{E}}I}}$$
Detailed Academic Explanation:
$$\frac{{{\text{W}}{{\text{L}}^3}}}{{48{\text{E}}I}}$$ is the correct answer to “The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being E$$I$$, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 9 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The horizontal thrust on the ends of a two hinged semicircular arch of radius ‘R’ carrying
Correct Answer: Option D — All the above
Detailed Academic Explanation:
All the above is the correct answer to “The horizontal thrust on the ends of a two hinged semicircular arch of radius ‘R’ carrying”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 10 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is
Correct Answer: Option D — 0.707
Detailed Academic Explanation:
0.707 is the correct answer to “For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 11 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon
Correct Answer: Option D — All the above
Detailed Academic Explanation:
All the above is the correct answer to “If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 12 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is
Correct Answer: Option D — 4
Detailed Academic Explanation:
4 is the correct answer to “The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 13 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of
Correct Answer: Option C — $$1:1:2$$
Detailed Academic Explanation:
$$1:1:2$$ is the correct answer to “There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 14 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
Gradually applied static loads do not change with time their
Correct Answer: Option D — All the above
Detailed Academic Explanation:
All the above is the correct answer to “Gradually applied static loads do not change with time their”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 15 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The yield moment of a cross section is defined as the moment that will just produce the yield stress in
Correct Answer: Option A — The outer most fibre of the section
Detailed Academic Explanation:
The outer most fibre of the section is the correct answer to “The yield moment of a cross section is defined as the moment that will just produce the yield stress in”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 16 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as
Correct Answer: Option D — Composite beams
Detailed Academic Explanation:
Composite beams is the correct answer to “Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 17 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
At yield point of a test piece, the material
Correct Answer: Option D — Undergoes plastic deformation
Detailed Academic Explanation:
Undergoes plastic deformation is the correct answer to “At yield point of a test piece, the material”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 18 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The load on a spring per unit deflection, is called
Correct Answer: Option A — Stiffness
Detailed Academic Explanation:
Stiffness is the correct answer to “The load on a spring per unit deflection, is called”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 19 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm 2 , the bending strain energy stored in the bar, is
Correct Answer: Option C — 611 N mm
Detailed Academic Explanation:
611 N mm is the correct answer to “A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm 2 , the bending strain energy stored in the bar, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 20 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm 2 is:
Correct Answer: Option C — 5.0 mm
Detailed Academic Explanation:
5.0 mm is the correct answer to “A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm 2 is:”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 21 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
For beams of uniform strength, if depth is constant,
Correct Answer: Option A — Width $${\text{b}} \propto {\text{M}}$$
Detailed Academic Explanation:
Width $${\text{b}} \propto {\text{M}}$$ is the correct answer to “For beams of uniform strength, if depth is constant,”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 22 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised
Correct Answer: Option D — All the above
Detailed Academic Explanation:
All the above is the correct answer to “A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 23 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm 2 and that of brass bar is 3000 mm 2 . These are subjected to a compressive load 1,00,000 N. If E b = 0.2 MN/mm 2 and E b = 0.1 MN/mm 2 , the stresses developed are:
$${\sigma _{\text{b}}}$$ = 10 N/mm2, $${\sigma _{\text{s}}}$$ = 20 N/mm2 is the correct answer to “A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm 2 and that of brass bar is 3000 mm 2 . These are subjected to a compressive load 1,00,000 N. If E b = 0.2 MN/mm 2 and E b = 0.1 MN/mm 2 , the stresses developed are:”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 24 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A material is said to be perfectly elastic if
Correct Answer: Option A — It regains its original shape on removal of the load
Detailed Academic Explanation:
It regains its original shape on removal of the load is the correct answer to “A material is said to be perfectly elastic if”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 25 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
Pick up the correct statement from the following:
Correct Answer: Option D — All the above
Detailed Academic Explanation:
All the above is the correct answer to “Pick up the correct statement from the following:”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 26 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
For calculating the allowable stress of long columns $${\sigma _0} = \frac{{{\sigma _y}}}{n}\left[ {1 - a{{\left( {\frac{1}{r}} \right)}^2}} \right]$$ is the empirical formula, known as
Correct Answer: Option B — Parabolic formula
Detailed Academic Explanation:
Parabolic formula is the correct answer to “For calculating the allowable stress of long columns $${\sigma _0} = \frac{{{\sigma _y}}}{n}\left[ {1 - a{{\left( {\frac{1}{r}} \right)}^2}} \right]$$ is the empirical formula, known as”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 27 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The ratio of maximum and average shear stresses on a rectangular section, is
Correct Answer: Option C — 1.5
Detailed Academic Explanation:
1.5 is the correct answer to “The ratio of maximum and average shear stresses on a rectangular section, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 28 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
In plastic analysis, the shape factor for rectangular section, is
Correct Answer: Option B — 1.5
Detailed Academic Explanation:
1.5 is the correct answer to “In plastic analysis, the shape factor for rectangular section, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 29 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
In plastic analysis, the shape factor for a triangular section, is
Correct Answer: Option C — 2.34
Detailed Academic Explanation:
2.34 is the correct answer to “In plastic analysis, the shape factor for a triangular section, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 30 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is
Correct Answer: Option A — 0.207
Detailed Academic Explanation:
0.207 is the correct answer to “A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 31 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The ratio of the section modulus of a square section of side B and that of a circular section of diameter D, is
Correct Answer: Option B — $$\frac{{3\pi }}{{16}}$$
Detailed Academic Explanation:
$$\frac{{3\pi }}{{16}}$$ is the correct answer to “The ratio of the section modulus of a square section of side B and that of a circular section of diameter D, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 32 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is
Correct Answer: Option C — $${\left( {\frac{{\text{L}}}{{2{\text{d}}}}} \right)^2}$$
Detailed Academic Explanation:
$${\left( {\frac{{\text{L}}}{{2{\text{d}}}}} \right)^2}$$ is the correct answer to “A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 33 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The equivalent length is of a column of length L, having both the ends fixed, is
Correct Answer: Option C — $$\frac{{\text{L}}}{2}$$
Detailed Academic Explanation:
$$\frac{{\text{L}}}{2}$$ is the correct answer to “The equivalent length is of a column of length L, having both the ends fixed, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 34 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,
Correct Answer: Option D — 16 m
Detailed Academic Explanation:
16 m is the correct answer to “A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 35 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The stiffness of the close coil helical spring is
Correct Answer: Option A — $$\frac{{{{\text{d}}^4}{\text{N}}}}{{8{{\text{D}}^3}{\text{n}}}}$$
Detailed Academic Explanation:
$$\frac{{{{\text{d}}^4}{\text{N}}}}{{8{{\text{D}}^3}{\text{n}}}}$$ is the correct answer to “The stiffness of the close coil helical spring is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 36 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
Maximum strain theory for the failure of a material at the elastic limit, is known as
Correct Answer: Option B — St. Venant's theory
Detailed Academic Explanation:
St. Venant's theory is the correct answer to “Maximum strain theory for the failure of a material at the elastic limit, is known as”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 37 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A body is said to be in equilibrium if
Correct Answer: Option D — None of these
Detailed Academic Explanation:
None of these is the correct answer to “A body is said to be in equilibrium if”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 38 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is
Correct Answer: Option C — $$\frac{{4{{\text{W}}^2}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{N}}}}$$
Detailed Academic Explanation:
$$\frac{{4{{\text{W}}^2}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{N}}}}$$ is the correct answer to “A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 39 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
A two hinged parabolic arch of span $$l$$ and rise h carries a load varying from zero at the left end to $$\omega $$ per unit run at the right end. The horizontal thrust is
Correct Answer: Option D — $$\frac{{\omega {l^2}}}{{16{\text{h}}}}$$
Detailed Academic Explanation:
$$\frac{{\omega {l^2}}}{{16{\text{h}}}}$$ is the correct answer to “A two hinged parabolic arch of span $$l$$ and rise h carries a load varying from zero at the left end to $$\omega $$ per unit run at the right end. The horizontal thrust is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
Question 40 of 40
★ PPSC SDO
★ FPSC AEE
★ PPSC SDO
★ FPSC AEE
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity E$$I$$, is
Correct Answer: Option D — $$\frac{{{\text{W}}{{\text{L}}^3}}}{{3{\text{E}}I}}$$
Detailed Academic Explanation:
$$\frac{{{\text{W}}{{\text{L}}^3}}}{{3{\text{E}}I}}$$ is the correct answer to “The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity E$$I$$, is”. This question is standard in competitive examination syllabi for Theory Of Structures.
💡Key Conceptual Anchor:Theory Of Structures
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Airport Engineering — Part 1
Master the next curriculum module with 40 exam-standard MCQs.
In competitive commission exams (FPSC, PPSC, KPPSC, SPSC, CSS, PMS), questions are frequently phrased with distractor options designed to catch rote learners. Whenever you answer an MCQ, read the Detailed Academic Explanation and Conceptual Anchor to understand why the remaining options are incorrect.