Answered: Determine the support reaction at C…

Determine the support reaction at C using Conjugate Beam Method. Indicate the negative sign if the answer is downward. E= 200 GPa, I = 300 x 10° mm 41 kN / m 5 kN /m 15 kN - m 1.5 m 4.5 m 6 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

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Determine the support reaction at C using Conjugate Beam Method. Indicate the negative sign if the answer is downward.

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SOLVE BY STRICTLY CONJUGATE BEAM METHOD
Solve for the reactions, the midspan deflection, and the slope at the midspan. Use E = 70 GPa and I = 100 x 106 mm4 Final Equations with value of C1 and C2 EIy'' = EIy' = EIy = RA: RB: MA: Deflection: Slope:
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 14800 ksi] rods, and a solid steel [E = 32200 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.68 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.54 in. Assume L1=50 in and L2=81 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 21 kips is applied. (2) (1) L2 (1) |L1 B P.
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A force-couple system is acting on the frame as shown. Use A=80N, B=700N, C=150N, and M= 120N.m. The system is to be replaced with a single resultant force R. B 30° [Select] [Select] [Select] [Select] [Select] [Select] M 400 mm 200 mm 300 mm (a) Calculate the absolute value of the x-component of the resultant in N. (b) Calculate the absolute value of the y-component of the resultant in N. (c) Calculate the magnitude of resultant in N. (d) Calculate the angle that the resultant makes with the horizontal in degrees. (e) Calculate the absolute value of the x-intercept of the resultant's line of action in mm. (f) Calculate the absolute value of the y-intercept of the resultant's line of action in mm.
QUESTION 6 A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 80 mm, h = 170 mm). P = 4.3 kN 3 m -2 m- C B L-5m Calculate the reactions of the beam. Assume that E = 190 GPa. (Solve by the method of superposition. The beam has constant flexural rigidity EI. ASsume that the +x-axis is to the right and the +y-axis is up along the page, with the origin at A. Use the statics sign convention. Assume the positive direction for moments is counterclockwise. Enter your forces in kN and your moments in kN m.) R. = kN Ra = kN MA = kN- m Ma = kN - m Calculate the displacement at point C. (Enter your answer in mm. Use the statics sign convention.) mm