महाराष्ट्र अभियंता सेवा (स्थापत्य) पूर्व परीक्षा २०११

If a matrix then the Eigen values of A² + A^-1 + 3adjA are

Laplace transform of 

General solution of wave equation 

If A is 37 x 37 matrix with A² = I rank of A is

If ā is a non-zero constant vector with magnitude then 

The velocity 'V' of particle at distance 'D' from a point on its path given by below table

The time taken to travel 60 meters by using Simpson's one third rule is 

If bulk modulus and modulus of rigidity for a material are K and G respectively, then what will be Poisson's ratio 

A bar of steel (E = 2.1x 10⁶ kg/cm²) 70 cm long varies in its cross section with 2.5 cm dia for the first 20 cm, 2cm dia for next 30 cm and 1.5 cm dia for the rest of the length. Find the elongation if the bar is subjected to a tensile load of 15 tonnes.

A solid circular shaft of diameter 100 mm is subjected to a torque of 25 kNm. The angle of twist over a length of 3 m is observed to be 0.09 rad. The modulus of rigidity of material is 

A propped cantilever of span 'L' is carrying a point load 'P' acting at midspan. The plastic moment of the section is Mp. The magnitude of collapse load is

Find the Euler's crippling load for a hollow cylinder column (E = 205 GPa) of 38 mm external diameter and 2.5 mm thick, with a length of 2.3 m and fixed at both of its ends.

A bar of 400 mm length and of uniform cross-section 20 mm diameter is subjected to tensile load of 50 kN, assuming E= 200 GPa the elongation of bar is

Reaction at a prop in a propped cantilever when it is subjected to UDL of 'w/m' over a entire span 'L' is equal to

The curved geometry of masonry arches allows its load carrying capability only in the form of 

The slope of cantilever beam having span 'L', at the free end due to concentrated load 'P' applied at free end is

In moment distribution method the sum of distribution factors for all the members meeting at a joint is always

If the Young's Modulus and Poisson's ratio of a material is 2x 10⁶ kg/cm² and 0.25 respectively. Find the Bulk Modulus.

A continuous beam ABCDE has four simple supports A, B, C and D. DE is overhang.Hinge 'F' is provided along span BC. The degree of static indeterminacy is