A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is

For a simply supported beam of length , the bending moment is described as M = a (x- x3/L2), 0 ≤x < L; where is a constant. The shear force will be zero at

A column is said to be of medium size if its slenderness ratio is between

The length of a column, having a uniform circular cross-section of 7.5 cm diameter and whose ends
are hinged, is 5 m. If the value of E for the material is 2100 tonnes/cm2, the permissible maximum
crippling load will be

The moment diagram for a cantilever which is subjected to a uniformly distributed load will be a

If the normal cross-section ‘A’of a member is subjected to tensile force , p, the resulting normal stress in an oblique plane inclined at angle ‘θ’ to transverse plane will be

In a shaft rotated by a couple, the shear force varies

The shape of the bending moment diagram over the length of a beam, having no external load, is
always

The stress at which extension of a material takes place more quickly as compared to the increase
in load, is called

A shaft turning 150 r.p.m. is subjected to a torque of 150 kgm. Horse power transmitted by the
shaft is

In a simply supported beam (l + 2a) with equal overhangs (a) and carrying a uniformly distributed
load over its entire length, B.M. at the middle point of the beam will be zero if

A simply supported beam of span carries a uniformly distributed load . The maximum
bending moment is

A member which does not regain its original shape after removed of load producing deformation
is said

A solid cube is subjected to equal normal forces on all its faces. The volumetric strain will be xtimes
the linear strain in any of the three axes when

A three hinged arch is loaded with an isolated load 1000 kg at a horizontal distance of 2.5 m from
the crown, 1 m above the level of hinges at the supports 10 metres apart. The horizontal thrust is

A uniform girder simply supported at its ends is subjected to a uniformly distributed load over its
entire length and is propped at the centre so as to neutralise the deflection. The net B.M. at the
centre will be

When a rectangular beam is loaded transversely, the maximum compressive stress develops on

In a tension test, the yield stress is 300 kg/cm2, in the octahedral shear stress at the point is:

Columns of given length, cross-section and material have different values of buckling loads for
different end conditions. The strongest column is one whose

A cantilever carrying a uniformly distributed load W over its full length is propped at its free end
such that it is at the level of the fixed end. The bending moment will be zero at its free end also at

If the depth of a simply supported beam carrying an isolated load at its centre, is doubled, the
deflection of the beam at the centre will be changed by a factor of

The minimum number of rivets for the connection of a gusset plate, is

The cross sections of the beams of equal length are a circle and a square whose permissible
bending stress is same under same maximum bending. The ratio of their flexural weights is

Pick up the correct statement from the following:

The section modulus of a rectangular light beam 25 metres long is 12.500 cm3. The beam is simply
supported at its ends and carries a longitudinal axial tensile load of 10 tonnes in addition to a
point load of 4 tonnes at the centre. The maximum stress in the bottom most fibre at the mid span
section, is

Stress in members of statically determinate simple frames, can be determined by

The point of contraflexure occurs in

A rectangular beam 20 cm wide is subjected to a maximum shearing force of 10,000 kg, the
corresponding maximum shearing stress being 30 kg/cm2. The depth of the beam is

If a member is subjected to a tensile force P, having its normal cross-section A, the resulting shear stress in an oblique plane inclined at angle ‘0’ to transverse plane will be

If a shaft is simultaneously subjected to a toque T and a bending moment M, the ratio of
maximum bending stress and maximum shearing stress is

The ratio of the effective length of a column and minimum radius of gyration of its cross-sectional
area, is known

The region of the cross-section of a column in which compressive load may be applied without
producing any tensile stress, is known as the core of the cross-section. In circular columns the
radius of the core, is

If the width of a simply supported beam carrying an isolated load at its centre is doubled, the
deflection of the beam at the centre is changed by

A cylinder is said to be thin if the ratio of its thickness and diameter, is less than

As the elastic limit reaches, tensile strain

For a given material Young’s modulus is 200 GN/m2 and modulus of rigidity is 80 GN/m2. The value
of Poisson’s ratio is

The rise of a parabolic arch at quarter points, is equal to

The number of points of contraflexure in a simple supported beam carrying uniformly distributed
load, is

When two plates butt together and are riveted with two cover plates with two rows of rivets, the
joint is known as

If the width of a simply supported beam carrying an isolated load at its centre is doubled, the
deflection of the beam at the centre is changed by

The moment diagram for a cantilever carrying linearly varying load from zero at its free end and to
maximum at the fixed end will be a

When a rectangular beam is loaded longitudinally, shear develops on

For a simply supported beam carrying uniformly distributed load W on it entire length L, the
maximum bending moment is

Along the principal plan subjected to maximum principal stress

The width of a beam of uniform strength having a constant depth d length L, simply supported at
the ends with a central load W is

The distance between the centres of adjacent rivets in the same row, is called

Hooke’s law states that stress and strain are

For a beam, if fundamental equations of statics are not sufficient to determine all the reactive
forces at the supports, the structure is said to be

The tension coefficient of any member is

Rankine-Golden formula accounts for direct as well as buckling stress and is applicable to

The neutral axis of a beam cross-section must

In a continuous bending moment curve the point where it changes sign, is called

The equivalent length of a column fixed at one end and free at the other end, is

For a given material, if E, C, K and m are Young’s modulus, shearing modulus, bulk modulus and
Poisson ratio, the following relation does not hold good

A short masonry pillar is 60 cm x 60 cm in cross-section, the core of the pillar is a square whose
side is

The ratio of the maximum deflection of a cantilever beam with an isolated load at its free end and
with a uniformly distributed load over its entire length, is

The slenderness ratio of a vertical column of square cross- section of 10 cm side and 500 cm long,
is

A steel rod of 2 cm diameter and 5 metres long is subjected to an axial pull of 3000 kg. If E = 2.1 ×
106, the elongation of the rod will be

A rectangular log of wood is floating in water with a load of 100 N at its centre. The maximum
shear force in the wooden log is

The maximum compressive stress at the top of a beam is 1600 kg/cm2 and the corresponding
tensile stress at its bottom is 400 kg/cm2. If the depth of the beam is 10 cm, the neutral axis from
the top, is

At either end of a plane frame, maximum number of possible transverse shear forces, are

In a square beam loaded longitudinally, shear develops

Reactions at the supports of a structure can be determined by equating the algebraic sum of

The phenomenon of slow growth of strain under a steady tensile stress, is called

If the stress in each cross-section of a pillar is equal to its working stress, it is called

Maximum deflection of a cantilever due to pure bending moment M at its free end, is

The maximum deflection of a simply supported beam of length L with a central load W, is

An open-ended cylinder of radius and thickness is subjected to internal pressure . The
Young’s modulus for the material is and Poisson’s ratio is . The longitudinal strain is

Euler’s formula states that the buckling load for a column of length , both ends hinged and
whose least moment of inertia and modulus of elasticity of the material of the column
are and respectively, is given by the relation

In a three hinged arch, the bending moment will be zero

A simply supported beam carries two equal concentrated loads W at distances L/3 from either
support. The maximum bending moment

If the beam is supported so that there are only three unknown reactive elements at the supports.
These can be determined by using the following fundamental equation of statics

For a cantilever with a uniformly distributed load W over its entire length L, the maximum bending
moment is

To ascertain the maximum permissible eccentricity of loads on circular columns, the rule generally
followed, is

A shaft 9 m long is subjected to a torque 30 t-m at a point 3 m distant from either end. The
reactive torque at the nearer end will be

Every material obeys the Hooke’s law within its

If the length of a cantilever carrying an isolated load at its free end is doubled, the deflection of
the free end will increase by

If ‘p’ the internal pressure in a thin cylinder of diameter and thickness ‘P’ the developed hoop
stress, is