A simply supported beam of a total length lis shown in Figure Q5, where point A supported by a pin connection and point C is supported by a roller support. The concentrated load is P at the location of 21/3. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load Note that adatpive marking has been used to consider the method mark. P 21 3 – x A C * y В Figure Q5: A simply supported beam with a concentrated load applied

A simply supported beam of a total length lis shown in Figure Q5, where point A supported by a pin connection and point C is supported by a roller support. The concentrated load is P at the location of 21/3. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load Note that adatpive marking has been used to consider the method mark. P 21 3 – x A C * y В Figure Q5: A simply supported beam with a concentrated load applied

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.13P: -4-13 A propped cantilever beam of a length 2L is loaded by a uniformly distributed load with...

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A propped cantilever beam is loaded by a bending moment of the magnitude M_B at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight ℎ that are constant along the length of the beam L. The beam material’s Young’s modulus is Q. Assuming the positive deflections and positive vertical reaction forces are upward, calculate the value of the reaction forces at points A and B the absolute value of the reaction bending moment at point A A) Let R represent the reaction force at Support B. By releasing the beam at Support B and imposing a force R at Point B, the deflection of the beam consists of two parts,i.e. Part I- the deflection caused by M_B ; Part II- the deflection caused by R Please treat R, w, h , L , E as variables in this step , the mathematical equation for the deflection at Point B caused by R ( Part II) can be written as: b) Using the provided data: cross-section width w = 14 mm, cross-section hight h = 82…
In Figure Q5b, a beam is supported at A and C with a uniformly distributed load (UDL) of 38.75 kN/m between A and B. Distance L1 = 9.00 m and L2 = 4.50 m. Draw and label the shear force diagram (SFD) and bending moment diagram (BMD) for the beam shown in Figure Q5b. Label the shear force and the bending moment values at points A, B & C on both diagrams; determine the distance from A along the beam where the shear force is zero; and calculate the bending moment at the point where the shear force is zero. Clearly indicate the type of bending between AC and between BC. A UDL L1 Figure Q5b B L2 C
In Figure Q3a, a beam is supported at A and C with a uniformly distributed load of20 kN/m between A and B. Draw and label the shear force diagram (SFD) andbending moment diagram (BMD) for the beam shown in Figure Q3a. Label thevalues for shear force and bending moment at points A, B, C & at the beam midpoint M; the maximum bending moment and its distance from A; and clearlyindicate the type of bending between AB and between BC
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QUESTION 1 Beam ABCDE as in Figure Q1 is pin connected at A and roller supported at E. (a) Sketch the free body diagram for the beam and determine the unknown reactions. (b) Develop the shear force (V) and bending moment (M) as function of x for section CD, taking point A as the origin. (c) Sketch the shear force and free body diagrams of the entire beam and indicate all important points on the diagrams. [Note: All calculations must be clearly shown] 30 kN w= 15 kN/m A E 15 kN.m B, D 0.5 m 0.5 m 1 m 0.5 m Figure Q1
force, the sign convention is same as that used in lectures and seminars). A simply supported beam is loaded as shown in the Figure. The corresponding SFD and BMD would be: 20 kN 10 kN/m 2 m 2 m 30 kN (a) 40 kN m 30 kN 30 kN 10 kN (b) 40 kN.m 10 kN 30 kN 30 kN Click Save and Submit to save and submit. Click Save All Answers to save all answvers.
A thin beam with a solid rectangular cross-section is loaded as shown in Figure Q7 below. L/3 L/3 L/3 Figure Q7 Consider the following statoments and select which combination correctly describes the bending moment diagram for this beam, along its longth using the sign conventions provided in lectures. i lt is symmetrical. ii It has a value of zero at the mid-point. i. It has a negative value for the entire length of the beam. iv. It is described by a quadratic (2nd order) function. O ali and i. are both correct. Ob.li. and iv. are both correct. Oci. and i. are both correct. Od.i. and iv. are both correct. Oe. li. and iv. are both correct. O. None of the provided answers are correct. OBi and i. are both correct.