1

GATE CE 2016 Set 2

MCQ (Single Correct Answer)

+2

-0.6

Consider the structural system shown in the figure under the action of weight $$W.$$ All the joints are hinged. The properties of the members in terms of length $$(L),$$ area $$(A)$$ and the modulus of elasticity $$(E)$$ are also given in the figure. Let $$L,A$$ and $$E$$ be $$1$$ $$m,$$ $$0.05$$ $${m^2}$$ and $$30 \times {10^6}\,\,N/{m^2},\,\,$$ respectively, and $$W$$ be $$100$$ $$kN.$$

Which one of the following sets gives the correct values of the force, stress and change in length of the horizontal member $$QR$$?

2

GATE CE 2015 Set 1

Numerical

+2

-0

For the $$2D$$ truss with the applied loads shown below, the strain energy in the member $$XY$$ is _______________ $$kN$$-$$m$$. For member $$XY$$, assume $$AE = 30$$ $$kN,$$ where $$A$$ is cross-section area and $$E$$ is the modulus of elasticity.

Your input ____

3

GATE CE 2014 Set 1

Numerical

+2

-0

For the truss shown below, the member $$PQ$$ is short by $$3$$ $$mm.$$ The magnitude of vertical displacement of joint $$R$$ (in $$mm$$) is ______________________

Your input ____

4

GATE CE 2013

Numerical

+2

-0

A uniform beam ($$EI=$$ constant) $$PQ$$ in the form of a quarter-circle of radius $$R$$ is fixed at end $$P$$ and free at the end $$Q,$$ where a load $$W$$ is applied as shown. The vertical downward displacement, $${\delta _q},$$ at the loaded point $$Q$$ is given by : $${\delta _q} = \beta \left( {{{W{R^3}} \over {EI}}} \right).$$

Find the value of $$\beta $$(correct to $$4-$$decimal places). _____________________

Your input ____

Questions Asked from Energy Principle (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CE Subjects

Engineering Mechanics

Strength of Materials Or Solid Mechanics

Structural Analysis

Construction Material and Management

Reinforced Cement Concrete

Steel Structures

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

Geomatics Engineering Or Surveying

Environmental Engineering

Transportation Engineering

Engineering Mathematics

General Aptitude