Q1: At a certain section, beam has the cross-section shown in Figure (1) below. The beam is simply supported at its ends with length of 3 m and carries a central concentrated load of 450 kN. For a section at 1 m from the left-hand support, determine the shear stress only at (a) the neutral axis and (b) x. 25 mm 20 mm -X- 12 mm 500 N.A. 500
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- 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 stiffness El as 12000 kN.m?. 50 kN SKN/mThe 12‐metre span beam ABCD with cross‐section shown in Figure Q2 carries a uniformly distributed load of 15 kN/m over a span of 6‐metre, a bending moment of 150 kNm and a concentrated load 50 kN at point C. a) Locate the centroid ݕ ത of the cross‐section and determine the moment of inertia of the cross‐ section about the x‐axis. b) Write the shear and bending moment equations for the relevant segments along the beam c) Using the method of differential relations, draw the shear and bending moment diagrams showing the critical values and locations. d) Determine the maximum bending moment and locate the point where it occurs.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
- 31 -Loading status in figure q= 4 kN ⁄ m, P = 48 kN in the bar dimensions L= 2 m and e= 0.5 m. The cross-sectional effects at point E will be calculated. A is fixed, B is sliding joint bearing. Accordingly, the shear force at point E T=? a) 2B) 4C) 14D) 0E) 6Draw the shear-force and bending-moment diagram for the beam shown. Assume the upward reaction provided by the ground to be uniformly distributed. Let a = 4.2 ft, b = 3.3 ft, P = 22 kips, and w = 2.7 kips/ft. Label all significant points on each diagram. Determine the maximum value of (a) the internal shear force and (b) the internal bending moment.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.Given: Maximum positive shear = 387.50 kN Maximum negative shear = 602.50 kN Maximum positive moment = 1970.65 kN-m Maximum negative moment = 1480 kN-m Location of maximum shear from the left end of beam = 22 m Location of maximum moment from the left end of beam = 15.23 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.
- The beam AC is simply supported at A and C and subject to the uniformly distributed load of 300 N/m plus the couple of magnitude 2700 N ⋅ m as shown in figure. Write the moment equation between A and C. Draw the shear and moment diagram. Determine the maximum shear and flexural stress of the beam with a rectangular cross section of 150mm x 250mm.Draw the shear-force and bending-moment diagram for the beam shown. Assume the upward reaction provided by the ground to be uniformly distributed. Let a = 4.8 ft, b = 3.5 ft, P = 30 kips, and w = 2.1 kips/ft. Label all significant points on each diagram. Determine the maximum value of (a) the internal shear force and (b) the internal bending moment. 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.Determine the reaction forces R1 and R2 and show the shear and bending moment diagram. Data: Point load (left-most) = 90.126 N RL1 (80mm to 160mm) = 65 N RL2 (160mm to 180mm) = 130 N RL3 (180mm to 260mm) = 65 N
- Given the beam below: a) Plot the shear force and bending moment diagrams for the beam, knowing that M1 = 1.5 KN.m b) Considering that the beam has a cross-section in “I” as shown in the figure below, determine the maximum bending stress in the beam.For the beam and loading shown below (L = 2.4 m, E = 200 GPa, I = 1000 mm4 and w = 30 kN/m), find (a) TThe slope at point D.(b) The reaction force at end A3.) For the given couple-force system shown, determine the horizontal component of Q. P= 335 KN Q= 44 KN R=74 KN-m Z=263 KN