MCQOPTIONS
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MCQOPTIONS
This section includes 29 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mechanics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Impact load is an example of |
| A. | uniform load |
| B. | static load |
| C. | dynamic load |
| D. | fatigue load |
| Answer» D. fatigue load | |
| 2. |
Example for cantilever beam is |
| A. | railway sleepers |
| B. | Portico slabs |
| C. | Roof slab |
| D. | Bridge |
| Answer» C. Roof slab | |
| 3. |
A mass of 35 Kg is suspended from a weightless bar AB which is supported by a cable CB and a pin at A as shown in fig. The pin reactions at A on the bar AB are |
| A. | Rx = 343.4 N, Ry = 755.4 N |
| B. | Rx = 343.4 N, Ry = 0 N |
| C. | Rx = 755.4 N, Ry = 343.4 N |
| D. | Rx = 755.4 N, Ry = 0 N |
| Answer» E. | |
| 4. |
A framed structure is perfect if it contains members equal to, where n = number of joints in a frame. |
| A. | n - 1 |
| B. | 2n - 3 |
| C. | 2n - 1 |
| D. | n - 2 |
| Answer» C. 2n - 1 | |
| 5. |
A beam which is provided with more than two support is known as __________. |
| A. | fixed beam |
| B. | simply supported beam |
| C. | overhanging beam |
| D. | continuous beam |
| Answer» E. | |
| 6. |
A beam supported on more than two supports is called |
| A. | Simply supported beam |
| B. | Continuous beam |
| C. | Fixed beam |
| D. | Overhang beam |
| Answer» C. Fixed beam | |
| 7. |
For the centrally supported uniform beam as shown the values of F1 and F2, when the beam is in equilibrium, are respectively |
| A. | 3.5 kN, 1.5 kN |
| B. | 1.5 kN, 3.5 kN |
| C. | 2.5 kN, 2.5 kN |
| D. | 7 kN, 3 kN |
| Answer» B. 1.5 kN, 3.5 kN | |
| 8. |
A simply supported beam of span ‘l’ is subjected to a transverse point load ‘W’ acting at a distance of ‘a’ from the left support A. The reaction on the left support will be equal to |
| A. | \(W.a\over l\) |
| B. | \({W(l-a)\over l}\) |
| C. | \(W\over 2\) |
| D. | \(W.l\over a\) |
| Answer» C. \(W\over 2\) | |
| 9. |
A uniform rigid rod of mass M and length L is hinged at one end as shown in the adjacent figure. A force P is applied at a distance of 2L/3 from the hinge so that the rod swings to the right. The horizontal reaction at the hinge is |
| A. | –P |
| B. | 0 |
| C. | P/3 |
| D. | 2P/3 |
| Answer» C. P/3 | |
| 10. |
A plate is held by a chain AB through hinge joints. The plate is pulled with a force T as shown in figure. The tension in the chain is given by |
| A. | \(\left( {\frac{{\sqrt 3 }}{2}} \right)T\) |
| B. | \(\left( {\frac{{\sqrt 2 }}{3}} \right)T\) |
| C. | \(\frac{T}{2}\) |
| D. | \(3\sqrt 2 T\) |
| Answer» E. | |
| 11. |
A two-member truss PQR is supporting a load W. The axial forces in members PQ and QR are respectively |
| A. | 2W tensile and √3W compressive |
| B. | √3W tensile and 2W compressive |
| C. | √3W compressive and 2W tensile |
| D. | 2W compressive and √3W tensile |
| Answer» C. √3W compressive and 2W tensile | |
| 12. |
A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the mobile and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a flat horizontal surface.Given in addition that the eccentric mass = 2 grams, eccentricity = 2.19 mm, mass of the mobile = 90 grams, g = 9.81 m/s2. Uniform speed of the motor in RPM for which the mobile will get just lifted off the ground at the end Q is approximately. |
| A. | 3000 |
| B. | 3500 |
| C. | 4000 |
| D. | 4500 |
| Answer» C. 4000 | |
| 13. |
In a statically determinate plane truss, the number of joints (j) and the number of members (m) are related by |
| A. | j = 2m – 3 |
| B. | m = 2j + 1 |
| C. | m = 2j – 3 |
| D. | m = 2j – 1 |
| Answer» D. m = 2j – 1 | |
| 14. |
A jib crane consists of a rigid beam BC supported by an elastic rod AB and hinged at C. Determine the deflection of point B when a load of 16 kN is applied. Take E = 200 GPa, area of cross-section (AC) of elastic rod AB is 300 mm2. |
| A. | 1.23 mm |
| B. | 4.56 mm |
| C. | 2.46 mm |
| D. | 5.23 mm |
| Answer» B. 4.56 mm | |
| 15. |
For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively |
| A. | 122.47 kN and 50 kN |
| B. | 70.71 kN and 100 kN |
| C. | 70.71 kN and 50 kN |
| D. | 81.65 kN and 100 kN |
| Answer» D. 81.65 kN and 100 kN | |
| 16. |
If F = 1 kN , the magnitude of the vertical reaction force developed at the point B in kN is |
| A. | 0.63 |
| B. | 0.32 |
| C. | 1.26 |
| D. | 1.46 |
| Answer» B. 0.32 | |
| 17. |
A simple structure ABCDE is supported on a hinge at A and on rollers at B while it carriers a horizontals force of 1000 kN at E as shown in the figure. Determine the force in member AC using the method of joints. |
| A. | 1500 kN |
| B. | 1400 kN |
| C. | 1314 kN |
| D. | 1414 kN |
| Answer» E. | |
| 18. |
A beam ABC is supported and loaded as shown in the figure. Find the support reactions at A and B. (Neglect horizontal reaction at A) |
| A. | \(\frac{wL}{3}, \frac{wL}{3}\) |
| B. | \(\frac{wL}{3}, \frac{wL}{6}\) |
| C. | \(\frac{wL}{6}, \frac{wL}{3}\) |
| D. | \(\frac{wL}{6}, \frac{wL}{6}\) |
| Answer» D. \(\frac{wL}{6}, \frac{wL}{6}\) | |
| 19. |
A plane truss PQRD (PQ = RS, and ∠ PQR = 90°) is shown in the figure.The forces in the members PR and RS respectively, are _______. |
| A. | F (tensile) and F \(\sqrt{2}\) (tensile) |
| B. | F \(\sqrt{2}\) (tensile) and F (tensile) |
| C. | F (compressive) and F \(\sqrt{2}\) (compressive) |
| D. | F \(\sqrt{2}\) (tensile) and F (compressive) |
| Answer» E. | |
| 20. |
For the truss shown in the figure, the magnitude of the force (in kN) in the member SR is |
| A. | 10 |
| B. | 14.14 |
| C. | 20 |
| D. | 28.28 |
| Answer» D. 28.28 | |
| 21. |
Force in the member BC of the truss shown in the figure below is |
| A. | 5 kN (tensile) |
| B. | Zero |
| C. | 2.88 kN (compressive) |
| D. | 5 kN (compressive) |
| Answer» E. | |
| 22. |
A truss hinged at one end, supported on rollers at the other, is subjected to horizontal load only. Its reaction at the hinged end will be: |
| A. | Horizontal |
| B. | Vertical |
| C. | Resultant of horizontal and vertical |
| D. | Difference between horizontal and vertical |
| Answer» D. Difference between horizontal and vertical | |
| 23. |
For the truss shown in the figure, the forces F1 and F2 are 9 kN and 3 kN, respectively. The The force (in kN) in the member QS is |
| A. | 11.25 tension |
| B. | 11.25 compression |
| C. | 13.5 tension |
| D. | 13.5 compression |
| Answer» B. 11.25 compression | |
| 24. |
A simply supported beam PQ is loaded by a moment of 1 kN-m at the mid-span of the beam as shown in the figure. The reaction forces RP and RQ at supports P and Q respectively are |
| A. | 1 kN downward, 1 kN upward |
| B. | 0.5 kN upward, 0.5 kN downward |
| C. | 0.5 kN downward, 0.5 kN upward |
| D. | 1 kN upward, 1 kN upward |
| Answer» B. 0.5 kN upward, 0.5 kN downward | |
| 25. |
A superstructure has: |
| A. | no degree of freedom |
| B. | infinite degrees of freedom |
| C. | positive degree of freedom |
| D. | negative degree of freedom |
| Answer» E. | |
| 26. |
Considering g = 10 m/s 2 , force in member AC of loaded truss is |
| A. | 2000 N tension |
| B. | 2000 N compression |
| C. | 1000 N compression |
| D. | 1000 N tension |
| Answer» E. | |
| 27. |
In a simply supported beam of span (L + 2a) with equal overhang (a) carries a uniformly distributed load over the whole length. Bending moment changes sign if - |
| A. | L = 2a |
| B. | L < 2a |
| C. | L = 3a |
| D. | L > 2a |
| Answer» E. | |
| 28. |
A three bar truss to resist a service load P = 100 kN is shown in the figure. Use a load factor of 2 and consider all three members to have equal cross-sectional areas. The yield stress of the material of which the members are fabricated is 400 MPa. The area of cross section of each truss member is |
| A. | \(\frac{{25}}{{26}}~c{m^2}\) |
| B. | \(\frac{{26}}{{25}}~c{m^2}\) |
| C. | \(\frac{{25}}{{13}}~c{m^2}\) |
| D. | \(\frac{{13}}{{25}}~c{m^2}\) |
| Answer» D. \(\frac{{13}}{{25}}~c{m^2}\) | |
| 29. |
In an inertial frame, a free particle: |
| A. | is accelerated |
| B. | is decelerated |
| C. | moves with uniform velocity or is at rest |
| D. | is either accelerated or decelerated |
| Answer» D. is either accelerated or decelerated | |