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Ece 2215: Theory Of Stuctures Ii Question Paper

Ece 2215: Theory Of Stuctures Ii

Course:Bachelor Of Science In Civil Engineering

Institution: Dedan Kimathi University Of Technology question papers

Exam Year:2010

KIMATHI UNIVERSITY COLLEGE OF TECHNOLOGY
University Examinations 2011/2012
SECOND YEAR SECOND SEMESTER EXAMINATIONS FOR THE DEGREE OF BACHELOR OF SCIENCE IN
CIVIL ENGINEERING
ECE 2215: THEORY OF STUCTURES II
DATE: DECEMMBER 2011 TIME: 2 HOURS
INSTRUCTIONS:
(a) This paper contains FIVE (5) questions.
(b) You are required to answer ANY THREE (3) questions.
(c) All questions carry equal marks (each 20 marks)
(d) Illustrate your answers with clear sketches
(e) State any assumptions used
1. Compute the vertical deflection of joint B of the truss shown in Fig 1. Take E = 2 x 105 N/mm2 and
the X-sectional areas of the members in cm2 are given in parentheses. 20 marks
Fig. 1
2.
a. Derive the equation of the deflection curve for a simple beam AB loaded by a couple M0
acting at distance a from the left-hand support (Fig. 2 (a)). Also determine the deflection d0
at the point where the load is applied. (Use double integration method). 6 marks
Fig 2 (a)
b. Determine the slope and deflection under the 50 kN load for the beam loading system
shown in Fig. 2 (b). Find also the position and magnitude of the maximum deflection. Take E
= 200GN/m2 and I = 83 x 10-6 m4. 14 marks
Fig. 2 (b)
3.
a. A three-pinned parabolic arch is carrying a uniform horizontally distributed load as shown in
Fig. 3(a). Investigate the bending moment in the arch. 5 marks
Fig 3 (a)
b. A UDL of 4kN/m covers left half span of 3-hinged parabolic arch of span 36m and central
rise 8m (Fig 3b). Determine the 15 marks
i. Reactions
ii. bending moment, Shear force and Normal thrust at 9m from point A
iii. Sketch the bending moment diagram indicating values of important locations.
Fig 3 (b)
4.
a. Consider a cable that is under a vertical uniformly distributed load as shown in Fig 4 (a).
Derive expressions for cable profile and maximum tension and its position. 10 mks
Fig 4 (a)
b. The cable in Fig 4 (b) supports a girder which weighs 12 kN/m. Determine the tension in the
cable at points A, B and C. 10 marks
Fig 4 (b)
5.
a. Draw the influence lines for the beam shown in Fig 5 (a) for the vertical reaction at A, the
shear and moment at C. Show all your workings and sketches. 8 marks
Fig 5 (a)
b. Determine the maximum reaction at support B, the maximum shear at point C and the
maximum positive moment that can be developed at point C on the beam shown in Fig 5 (b)
due to 12 marks
- a single concentrate live load of 8000 N
- a uniform live load of 3000 N/m
- a beam weight (dead load) of 1000 N/m
Fig 5 (b)

Ece 2215: Theory Of Stuctures Ii Question Paper

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