Present detailed FBD illustrating your solution.Note: There is no internal support at point B. PROBLEMFor the beam loaded as shown, do the following:1. Determine the values of shear and moment at points where change in loadsoccur using the Area Method. Mark maximum values.2.Draw the shear and moment diagram. Show computation. Mark the maximumvalues for V and M.3. Solve the moment of inertia of the cross-section of the beam about the neutralaxis. Show computation and box your answer.4. Compute the maximum shear stress.5. Compute the maximum tensile and compressive flexural stress.6. Draw the elastic curve.7. Write the moment equation for the entire beam. Place your answer in a box.8. Write the slope equation of the beam. Place your answer in a box.9. Write the deflection equation. Place your answer in a box.10. What is the deflection at the pin and at point D? Box your answer.11. What is the slope of the elastic curve at point C?12. What is the maximum shear stress of the fibers 10mm from the top?6oku/m20 kulmA3m2m 40mml00mm46 mm40mm8o mm

9. Write the deflection equation. Place your answer in a box. 10. What is the deflection at the pin and at point D? Box your answer. 11. What is the slope of the elastic curve at point C? 12. What is the maximum shear stress of the fibers 10mm from the top? 20 kulm Эт

9. Write the deflection equation. Place your answer in a box. 10. What is the deflection at the pin and at point D? Box your answer. 11. What is the slope of the elastic curve at point C? 12. What is the maximum shear stress of the fibers 10mm from the top? 20 kulm Эт

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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Given: Maximum positive shear = 3960 N Maximum negative shear = 5640 N Maximum positive moment = 20700 N-m Maximum negative moment = 2400 N-m Location of maximum shear from the left end of beam = 19 m Location of maximum moment from the left end of beam = 14 m Determine the maximum bending stress (in MEGAPASCALS on the beam) given the cross-section on figure. Exercise caution in choosing the value of "c". (Be it known obviously that for beams with irregular cross-sections, Ctop ≠ Cbottom) Note: Measurements in figure is in millimeters. Kindly Draw the Shear and Moment Diagram or FBD if necessary. Compute for all of the necessary elements, Include the proper units, use the proper formula and round-off all the answers and final answers to 2 decimal places.
For the beam shown in figure below, draw the shear and moment diagrams: 1- Due to applied loads (without support settlement) 2- Due to support settlement of 60 mm downward at support B (without loads). Take the stifiness E1 as 12000 kN.m”. sou i The solution is according to Slope deflection method
The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa. a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?
Draw the shear force and bending moment diagram of the beam. Draw the distribution of normal stress and shear stress in the cross section of the beam at the B support. q=12t/m b=85mm h= 750mm t=30mm
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(i) A tie bar is 2.5 m long, has a circular cross section of 50 mm in diameter and is subjected to a force of 250 kN. Given that Young’s Modulus E = 209 kN/mm2 and Poisson’s Ratio ν = 0.3 calculate the change in volume of the bar when loaded. (ii) Draw the shear force and bending moment diagrams for the cantilever beam shown in the image attahced clearly indicating all significant points.
a. Calculate the moment of inertia (I) of the given cross–section b. Calculate the first moment of area (Q) at certain depth by using 25 mm increments. c. Calculate and draw the horizontal shear stress distribution of the beam at 0.2 m from the left support
Given: Maximum positive shear = 3960 N Maximum negative shear = 5640 N Maximum positive moment = 20700 N-m Maximum negative moment = 2400 N-m Location of maximum shear from the left end of beam = 19 m Location of maximum moment from the left end of beam = 14 m Determine the maximum bending stress (in MEGAPASCALS on the beam) given the cross-section on figure. Note: Measurements in figure is in millimeters. Kindly Draw the Shear and Moment Diagram or FBD if necessary. Compute for all of the necessary elements, Include the proper units, use the proper formula and round-off all the answers and final answers to 2 decimal places.
THE ANSWER MUST BE IN FOUR DECIMAL PLACES the steef shaft shown in figure rotates at 4Hz with 35 KW taken off at A, 20 kW removed at B and 55 kW applied at C. Using G=83 GPa, find the maximum shearing stress and the angle of rotation of gear A relative to gear C
Since the beam M in the figure is under the effect of simple bending moment, calculate the bending stress and shear stress values at the A, B and C points. h = 400mm b = 140mm and M = 150KNm
For the beam and loading shown, (a) Use discontinuity functions to write the expression for w(x). Include the beam reactions in this expression. (b) Integrate w(x) twice to determine V(x) and M(x). (c) Use V(x) and M(x) to plot the shear-force and bending-moment diagrams. Let a = 5.0 m, b = 1.7 m, wA = 16 kN/m, and wB = 46 kN/m. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
Consider a 155-mm-long segment of a simply supported beam. The internal bending moments on the left and right sides of the segment are 75 kN-m and 79 kN-m, respectively. The cross-sectional dimensions of the flanged shape are shown in the accompanying figure. Assume b1 = 135 mm, b2= 50 mm, b3= 205 mm, d1= 65 mm, d2= 180 mm, dz= 65 mm. Determine the maximum horizontal shear stress in this segment of the beam.