1. Determine: (i) slope at the left support, (ii) deflection under the load and (iii) maximum deflection of a simply supported beam of length 9 m, which is carrying a point load of 15 kN at 7 m from the left end. Take E = 2 × 105 N/mm² and I = 1 × 108 mm². Use the following g equations: 0₁ Yc = y max W.a.b 6EI.L Wa².6² 3EIL (a + 2b) W.b 9√3 EI.L (a² + 2ab)3/2

1. Determine: (i) slope at the left support, (ii) deflection under the load and (iii) maximum deflection of a simply supported beam of length 9 m, which is carrying a point load of 15 kN at 7 m from the left end. Take E = 2 × 105 N/mm² and I = 1 × 108 mm². Use the following g equations: 0₁ Yc = y max W.a.b 6EI.L Wa².6² 3EIL (a + 2b) W.b 9√3 EI.L (a² + 2ab)3/2

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

ans in hand written solution
A concentrated load P = 6 kN, acting downwards, is located midway between the simple supports of the beam shown. Determine the deflection, in mm, at the free-end C. Use a = 6 m., E = 233 GPa, and | = 253 x10^6 mm^4. ROUND OFF TO THREE DECIMAL PLACES. USE STORED VALUES. INCLUDE THE SIGN OF YOUR FINAL ANSWER. (positive = upwards; negative = downwards) 12 A C a
A simply supported beam (E = 12 GPa) carries a uniformly distributed load g = 100 N/m, and a point load P = 150 N at mid-span. L/2 L/2 The beam has a rectangular cross section (b = 75 mm, h = 200 mm) and a length of 3.6 m. Calculate the maximum deflection (in mm) of the beam. (Enter the magnitude. Solve the problem by the method of superposition. All beams have constant flexural rigidity EI.) תרח
Write the solution and box the answer correspond to the given letter, answer must 4th decimal place.....NEED IN 30MINS
5. Given the beam loaded as shown, determine the deflection at the free end in terms of EI. Use Conjugate Beam Method A 24 kN -8 m B 72 kN 6 kN/m -8 m- C
Make the solution and answer clean and clear, surely to vote it up nees your help ASAP.
Problem 02 Using the expression obtained in Problem No. 01 design the dimension of the beam using the following criterion. E = 10 GPa L = 3a = 9m Maximum deflection = L/360 W 50 kN/m Use rectangular beam, b = base & d = depth, assume d 2b
A concentrated load P = 5 kN, acting downwards, is located midway between the simple supports of the beam shown. Determine the deflection, in mm, at the free-end C. Use a = 6 m., E = 239 GPa, and I = 271 x10^6 mm^4. ROUND OFF TO THREE DECIMAL PLACES. USE STORED VALUES. INCLUDE THE SIGN OF YOUR FINAL ANSWER. (positive = upwards; negative = downwards) A a a
Using double integration method, for the overhanging beam shown, (a) derive the equation of the elastic curve, (b) compute the value of ô at the right end and (c) calculate the value of ô midway between the supports. Use E = 29 x 103 ksi and I= 204 int. |6 kip 2 kip/ft |3 kip .B 6 ft- - 6 ft- 6 ft
KINDLY DRAW THE DEFLECTION OF THIS PROBLEM. DRAW PLEASE
Consider the following beam with overhangs: A B You must provide the value of X. For example, if the answer is PL³ 20-EI C O X. PL³ EI L L Calculate the deflection at A (the end opposite of the load) and at D (under the load). Assume that both deflections are downward. The answers will be of the form L D = P enter "0.05" (1/20) in the Canvas quiz. Here are a few hints. You'll have to break up the integral over three segments (A to B, B to C, and C to D). On several spans, one of the moment diagrams will be zero. Remember that the definite integral of zero is equal to zero, i.e., f Oda 0. All the remaining integrals should involve triangles with integration factors of 1/3 and 1/6.
2 A cantilever beam of span 7 m carries a point load of 15 kN at a distance of 4 m from the right end. Compute: (i) The slope. (i) The deflection under the load. (iii) The maximum deflection and its location. Take E = 1.5x 105 N/mm² and 1 = 5 x 10 mm². OR