Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Chapter 3, Problem 14P
To determine
Find the expression for vertical reaction at the supports in terms of distance x.
Sketch the graph for reactions as a function of x.
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the weight of car moving at a constant speed on a beam bridge. ia modeled as a single concentrated load as shown in fig p3. 14. determine the expressions for the vertical reactions at the supports in terms of the posittion of the car as measured by the distance x and plot the graphs showing the variations of these reaction as function of x
For the building frame shown in Fig. P14.20, determine the arrangements of a uniformly distributed downward live load w that will cause the maximum negative bending moment at point A and the maximum positive bending moment at point B.
The packaging for an instrument can be modeled as shown in Fig. P2.6, in which the instrument of mass m is restrained by springs of total stiffness k inside a container; m = 5 kg and k = 8000 N/m. The container is accidentally dropped from a height of 1 m above the ground. Assuming that it does not bounce on contact, determine the maximum deformation of the packaging within the box and the maximum acceleration of the instrument.
Chapter 3 Solutions
Structural Analysis
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- Problem #3 Given: The car shown on the bridge below has a wheel base of 5 m, weighs 15,000 N, and its weight is evenly distributed on each axle. In addition, the bridge is 40 m long. Required: Calculate the reactions at the bridge support when the car is three-fourths of the way across the bridge.arrow_forwardCalculate the natural frequency of the shear wall carrying concentrated masses at the floor levels of a three-story building as shown in Fig. P21.12. Assume that the deflection shape of the shear wall is that resulting from a concentrated lateral force applied at its tip. Take flexural rigidity, EI=30×10 11 lb⋅in 2 ; length L=36ft .; concentrated masses, m=100lb . sec 2 /in and mass per unit of length along the wall, m ˉ =10lb⋅sec 2 /in 2 .arrow_forwardA beam supports a load varying uniformly from an intensity of w N/m at the left end to p N/m at the right end. Find the values of w and p to cause the reactions shown in Figure M03arrow_forward
- Find the force P needed to hold the 10-m-long cylindrical object in the position shown and the normal reaction between the cylinder and the ground at that same position.arrow_forwardA 5-m simply supported beam AB supports a trapezoidally distributed load . The intensity of the load varies linearly from 25 kN/m at support A to 50 kN/m at support B. What is the reaction at support B in kN?arrow_forwardThree cylinders are resting in a container, as shown in cross-section in the figure below. The larger cylinder weighs of 250 N and the smaller cylinders weigh 45 N each. Determine the reactions at A, B, C and D.arrow_forward
- Find the support reactions A and B at static equilibrium for the loaded beam showing below in fig 4.1arrow_forward26. Determine the force F required to keep the 200 kg crate in equilibrium with the position shown.arrow_forwardA 5-m simply supported beam AB supports a trapezoidally distributed load. The intensity of the load varies linearly from 50 kN/m at support A to 25 kN/m at support B. What is the total reaction at the supports in kN?arrow_forward
- DUE NOW. Please answer it correctly, please answer it step-by-step, provide solutions to all reactions. QUESTION: Determine the reactions using three-moment equation and draw shear and moment diagram.arrow_forwardCalculate all the reactions in the given beam. Indicate its direction in the final answer.arrow_forwardThe beam shown in the figure carries a triangular load which varies from 12 kN/m at A to 0 at B and concentrated load of 20 kN at C Which of the following gives the nearest value of the reaction at B?a. 23.54 kN c. 38.67 kNb. 42.13 kN d. 28.87 kN Which of the following gives the location of the point of inflection from point A?a. 3.61 m c. 2.97 mb. 3.44 m d. 4.08 m Which of the following gives the maximum positive moment?a. 13.76 kN-m c. 15.56 kN-mb. 14.87 kN-m d. 12.31 kN-marrow_forward
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