A beam is subjected to force as shown in the figure below. Try to analyze the reaction force of the beam at point A and point C. Assuming that the EI of the entire beam section is constant, try to draw the shear curve and bending moment diagram of the beam. (Moment Curve).

A beam is subjected to force as shown in the figure below. Try to analyze the reaction force of the beam at point A and point C. Assuming that the EI of the entire beam section is constant, try to draw the shear curve and bending moment diagram of the beam. (Moment Curve).

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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Problem 5.2: The structural steel wide-flange beam shown in Figure (5.24) is a W10x60 section (See Table D.1). The allowable flexural stress in the beam is allow. = 28 ksi. (a) Calculate the maximum moment Mz, that can be applied (producing deflection in the xy-plane); and (b) Calculate the maximum moment My that can be applied (producing deflection in the xz-plane). (a) M₂ Figure (5.24) (b) My
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A beam AB bears the force as follows, and the flexural stiffness of the beam section is constant EI:(a) Try the Conjugate Beam method to find the slope of point C after deformation.(b) Try the conjugate beam method to find the (vertical) displacement of point B after deformation.
Figure 1 shows a beam ABC that has a constant EI. The beam is subjected to a couple moment and a pointed load at C. Given that T is equivalent to the last number from your own matric number. Example: For the matric number of 1812050, T is equivalent to 0, hence the moment is 20 kip.ft. Answer the following questions: Q1 Calculate the reactions at support A and B Determine the equation of the elastic curve using the double integration method Determine the slope at A point i. ii. iii. iv. Determine the maximum deflection between B and C 11 kip 2T kip.ft B 20 ft 10 ft Figure 1
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3. A rigid bar is supported by two rods which are made of different materials. Rod A is a steel rod which has a modulus of elasticity of 29 000 ksi and Rod B is made of bronze which has a modulus of elasticity of 14 500 ksi. If the bar is horizontal before applying the load P, find the distance x that locates the position where P must applied so that the bar will remain horizontal. Neglect the weight of the bar AB. L= 3 ft A 0.2 in.? L= 2 ft A = 0.4 in.2 A 10 ft
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=12 ft, b=5 ft and w = 7.5 kips/ft. Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Determine the shear force acting at each of the following locations:(a) x = 0+ ft (i.e., just to the right of support A)(b) x = 12 ft(c) x = 15.333333333333 ftWhen entering your answers, use the shear force sign convention. The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention. Use the graphical method to determine the bending moment acting at each of the following locations:(a) x = 5.2 ft(b) x = 12 ft(c) x…
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=10 ft, b=5 ft and w = 5 kips/ft. Answers: Ay = 33.33 Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answer: (a) V= 33.33 (b) V= (c) V = i 0 a -16.67 Answer: x = i W B a (a) x = 0+ ft (i.e., just to the right of support A) (b) x = 10 ft (c) x 13.333333333333 ft Answer: Mmax = i B Determine the shear force acting at each of the following locations: Answers: (a) M = i 31 (b) M = i (c) M = i When entering your answers, use the shear force sign convention. b kips, Cy= b kips. kips. kips. 16.667 The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. ft. 2 C 1 x Determine the maximum bending moment that acts anywhere in the…
B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: σ, X (M.1, M,1,)y+ (M, I. - M.1,-) z (1,1.-1²-) where My and M₂ are bending moments applied to a cross-section, and where ly, Iz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (i) What assumptions have been made in the derivation of the above expression? (ii) Indicate by means of a sketch the directions in which positive values of the bending moments My and M₂ act on a cut plane facing in the positive x direction.
Find the displacements at points A, B, C, and D underthe loading effect of the rod element with a diameter of10.1 mm in the figure.The rod is made of aluminum (E = 70 GPa). 1- Support reaction at D? (kN)by drawing the normal force diagram;2- Normal force on element CD? (kN)3- Normal force on element BC? (kN)4- Normal force on element AB? (kN) 5- Normal stress in element CD? (MPa)6- Normal stress in element BC? (MPa)7- Normal stress in element AB? (MPa)8- Away in D? (mm)9- Away at C? (mm)10- Away in B? (mm)11- Away, in A? (mm)
4. For the beam loaded as shown in the figure, determine displacement at B using moment-area theorems. EI is constant
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