List of top Questions asked in Andhra Pradesh Post Graduate Engineering Common Entrance Test

M60 structural steel tube has a radius of gyration 20mm. The unbraced length up to which the tube can be used as a compression member is .........
The moment required to rotate the near end of a prismatic beam through unit angle, without translation, the far end being fixed, is given by ........
As per IS: 456-1978, if \( L \) is the short span of slab, what would be the minimum total thickness of slab in order to meet the slab stiffness criteria?
Bearing stiffness are provided in a plate girder to ........
Most common method of prestressing used for factory production is ........
The ratio of elongation of a prismatic bar due to its own weight and that of a conical bar of the same length is ............
A propped cantilever beam of span 4 m is fixed at end A and simply supported at end B. The beam is subjected to a uniformly distributed load of 5 kN/m. Then the reactions at A and B respectively are ............
A section of a shaft of diameter 100 mm is subjected to a moment of 4 kN-m and a torque of 3 kN-m. The ratio of maximum principal stress to minimum principal stress numerically is ............
A simply supported beam is subjected to a linearly varying load from one end to the other end. The nature of variation of shear force in the beam is ............
The law in which, the system of forces acting on a moving body is in dynamic equilibrium with the inertia force of the body is known as ............
If the length of a simply supported beam carrying a concentrated load at the center is doubled, the deflection at the center will become .......
Number of unknowns to be determined in the stiffness method is equal to ............
For a circular column having its ends hinged, the slenderness ratio is 160. The \( l/d \) ratio of the column is ............
If deflection at the free end of a uniformly loaded cantilever beam of length 1 m is equal to 7.5 mm, then slope at the free end is ............
A fixed beam AB is subjected to a triangular load varying from zero at end A to \( w \) per unit length at end B. The ratio of fixed end moment at B to that at A will be ............
For the section having width \( b \) and depth \( d \), the second moment of the area about an axis \( d/4 \) distance above the bottom of the area is ............
A simply supported beam with rectangular cross-section section is subjected to central concentrated load. If width and depth of the beam are doubled, then the deflection at the centre of the beam will be reduced to ............
A beam of triangular section has base width 200 mm and height 100 mm. The maximum shear stress in the beam section due to a shear force of 20 kN is ............
At a point in a steel member, a major principal stress is 200 MPa (tensile) and minor principal stress is compressive. If uniaxial tensile yield stress is 250 MPa, then according to maximum shear stress theory, the magnitude of the minor principal stress (compressive) at which yielding will commence is ...........
Bending moment (M) and Torque (T) are applied on a solid circular shaft. If maximum bending stress equals to maximum shear stress developed, then M is equal to ..........
A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change in the diameter is 0.0045 mm. The Poisson’s ratio will be ...........

Let \( f(x) = x^3 - \frac{9}{2}x^2 + 6x - 2 \) be a function defined on the closed interval [0, 3]. Then, the global maximum value of \( f(x) \) is _______
 

Given that the value of the integral \[ \int_1^9 (x^2 - 2)\, dx \] calculated using the Simpson's 1/3 rule with four uniform subintervals over the interval [1,9] is given by \[ f(1) + \alpha^2 + \frac{8}{3}, \] then the possible value of \( \alpha \) is _______
 

If the product and sum of eigenvalues of a 2 × 2 matrix \[ \begin{pmatrix} 3 & x \\ x & y \end{pmatrix} \] are -3 and 5, respectively, then \( x + y = \_\_\_ \)

If the system of linear equations $x + 2y + z = 5, 2x + \lambda y + 4z = 12, 4x + 8y + 12z = 2\mu$ have infinite number of solutions, then the values of $\lambda$ and $\mu$ are ________?