In figure shown, use left end of the beam as reference and assume the upward reaction provided by the ground to be uniformly distributed. (a) Write the shear-force and bending-moment equations (not simplified and simplified ) at each segment (b) draw the shear-force and bending-moment diagrams . Label all significant points on each diagram. 50 kN/m 1.5 m B 2.5 m 98 kN C 2.5 m 50 kN/m D 1.5 m E

In figure shown, use left end of the beam as reference and assume the upward reaction provided by the ground to be uniformly distributed. (a) Write the shear-force and bending-moment equations (not simplified and simplified ) at each segment (b) draw the shear-force and bending-moment diagrams . Label all significant points on each diagram. 50 kN/m 1.5 m B 2.5 m 98 kN C 2.5 m 50 kN/m D 1.5 m E

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.5.11P: The horizontal beam ABC of an oil-well pump has the cross section shown in the figure. If the...

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Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m.
The horizontal beam ABC of an oil-well pump has the cross section shown in the figure. If the vertical pumping force acting at end C is 9 kips and if the distance from the line of action ofthat force to point B is 16 ft, what is the maximum bending stress in the beam due to the pumping force?
A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 120 mm and h1= 100 mm. The maximum allowable bending stress in the plastic beam is emix = 6 M Pa, and the bending moment is M = 150 N · m. Determine the minimum permissible width bminof the beam.
A wood box beam is constructed of two 260 mm × 50 mm boards and two 260 mm × 25 mm boards (sec figure). The boards are nailed at a longitudinal spacing. b = 100 mm. If each nail has an allowable shear force F = 1200 N. what is the maximum allowable shear force Vmax?
A gantry crane of weight W=100 Kg moves across a bridge with the length /=5 m. The front axle of the crane (which is nearer end A) carries 3/4W whereas the rear axle (nearer end B) carries 1/4 W. The distance of the axles is b = 1/20. Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your work (FBDs, calculation steps, etc on the handworked file) HINT: Determine the shear and bending moment equations along the beam. Assume only concentrated loads at the front and rear axles. So it’s wrong answer 1136 N can anyone how to solve for it different ?
Draw the shear and bending moment diagrams of the beams loaded as shown in the figures below. Round off reactions and magnitudes of shears and bending moments to 2 decimal places. TAKE NOTE W = 22kN/m , W1 = 15kN/m , P = 18kN and P1=9 kN
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 = 5.0 ft, b = 3.4 ft, P = 25 kips, and w = 1.1 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.
A gantry crane of weight W=100 Kg moves across a bridge with the length I=5 m. The front axle of the crane (which is nearer end A) carries 3/4W whereas the rear axle (nearer end B) carries 1/4 W. The distance of the axles is b = 1/20. Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your work (FBDs, calculation steps, etc on the handworked file) HINT: Determine the shear and bending moment equations along the beam. Assume only concentrated loads at the front and rear axles.
Determine the maximum positive normal bending stress that occurs in member ABC of the engine crane given the following information: Engine weight = 1500 lb Member ABC height (vertical cross sectional dimension) = 7 in Member ABC width (horizontal cross sectional dimension) = 1 in Express your answer to the nearest whole psi value. In your work, draw the shear and moment diagram for member ABC. For the question above, determine the maximum shear stress in member ABC that occurs between points A and B. Express your answer using the nearest whole psi value.
1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in MPa. 8. Determine the maximum shearing stress in MPa at Neutral Axis. 9. Determine the spacing of rivets in mm. 10. Determine the maximum flexural stress at 1 m from the support at D to E in MPa.
The beam weight is 5kN considered as a distributed load over the beam length. Two bushwalkers with 850N weight each are standing together at one end of the beam/bridge. Determine the maximum shear force and bending moment in the simply supported beam shown below.
For the beam shown, calculate the magnitude of the bending stress (in psi) at a point 0.63 in from the bottom of the beam on a section 1.68 feet to the right of B if P = 2290 lb, Q = 8457 lb, w = 1.37 in, L = 8 in, b = 3.7 in, and h = 1.12 in. Round off the final answer to two decimal places.