A fixed-end beam is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the ratio is 2) and is made of wood (E = 11 GPa). (Solve this problem by integrating the differential equations of the deflection curve. The beam has constant flexural rigidity El.) P = 12.2 kN L. L = 4 m (a) Find height h (in mm) of the cross section if the maximum displacement of the beam is 1.9 mm. mm (b) Calculate the displacement of the beam (in mm) at the inflection points. (Enter the magnitude.) mm

A fixed-end beam is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the ratio is 2) and is made of wood (E = 11 GPa). (Solve this problem by integrating the differential equations of the deflection curve. The beam has constant flexural rigidity El.) P = 12.2 kN L. L = 4 m (a) Find height h (in mm) of the cross section if the maximum displacement of the beam is 1.9 mm. mm (b) Calculate the displacement of the beam (in mm) at the inflection points. (Enter the magnitude.) mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A simply supported beam is 0.6 feet long, and has a distributed load of 8.9 kips/ft pointing in the negative y direction along the entire beam. First- find the maximum moment in the beam? HINT: You should draw the beam. QUESTION: If the y distance from the neutral axis to the furthest fiber in tension is = -5 inches, and the moment of inertia of the beam is 100 in4, then what is the bending stress in the beam? in psi? Give answer to 1 decimal point, and no units, such as 1250.1 (not 1250.1 psi)
A simply supported beam with rectangular cross-section is subjected to a central concentrated load. If the width and depth of the beam are doubled, then which of the following option(s) is/ are correct w.r.t. slope and deflection? A Slopes at the ends of beam will be reduced to B Deflection at the center of the beam will be reduced to
J- A distributed load op w (kulm) is applied over the entire tength OF a simply supported beam Gm long . The beam section is as shown. Determine the maximum value OF w iF Of Ś 1OMP , and yE 800KP. 80 mm X 200 mm 360mm 200mm
For the beam and loading shown below, determine the beam deflection at point H. Assume that El = 5.8 × 104 kN-m² is constant for the beam; w = 4.8 kN/m, LAB = 3.5 m, LBC = 7.0 m, LCH = 3.5 m. A B H LAB LBC LCH Answer: VH = i mm
asnwer correctly
Pls help me.
Current Attempt in Progress The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; = 1990 in."). For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA= 250 kip-ft, P= 14 kips, LAB = 4.1 ft, LBc = 6.2 ft. MA LAB LBC Answer: in. (a) VA- in. (b) VB - 4. Submi Attempts: 0 of 1 used Save for Later
solve the fixed-end moment of the beam shown below using CONJUGATE METHOD. show the step by step solution/ derivation
H.W. 1:An axial member consisting of two polymer bars is sup- ported at C, as shown in Figure area ol 540 mm and an elastic modulus of 28 GPa. Bar (2) has a cross-sectional area of 880 mm2 and an elastic modulus of 16.5 GPa. Determine the deflection of point A relative to support C. . Bar (1) has a cross-sectional 50 kN Om She 35 kN (1) (2) 50 kN 0.85 m 1.15 m FIGURE
The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa;1 = 370 x 106 mm“]. For the loading shown, determine the beam deflection vc at point C. %3D Assume P = 73 kN, w = 35 kN/m, LAB - LBC= 3.6 m, LCD= 1.7 m. %3! P. B |C D LAB LBC LCD Answer: Vc= 8.8767 mm.
The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa; I = 370 x 106 mm*). For the loading shown, determine the beam deflection vc at point C. Assume P = 56 kN, w = 22 kN/m, Lag = Lsc= 2.9 m, Lco = 2.9 m. LAB LBC LCD Answer: Vc= mm.
Consider the timber beam shown below. The beam is made out of southern yellow pine, with an allowable bending stress of ?all= 2700 psi. The modulus of elasticity is E = 2,400 ksi. The maximum allowable deflection in the beam is 0.25 inches. A 1.5 kip/ft 6 ft 4 in. h B (a) What are the boundary conditions for this beam? (b) Determine the equation for the moment diagram using statics. (c) Determine the depth of the beam necessary to meet the allowable bending stress requirement.