USE DOUBLE INTEGRATION AND AREA MOMENT METHOD.THANK YOU.The cross section of the wood beam is 4 in. by 8 in. Find thevalue of P for which the downward deflection at the midspan is0.5in. Use E = 1.5 x 10 6psi.2 kips/ft4 in.2 -10 n

Roof beams are the principal load-bearing structural members. Among other things, the beams support…

Answered: The cross section of the wood beam is 4…

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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A cantilever beam with the fixed support on the left is under the loadings below, w = 3wo. Note: wo, E (Young's modulus), I (moment of inertia) are constant. Click here to see all formulas a a Part A - una? EI Determine the slope of the beam at x = a is assuming w = 3wn. O -0.619 O -1.65 O -1.03 O -1.29 O -0.413 Submit Request Answer una4 X EI Part B - Determine the deflection of the beam at r = a is assuming w = 3wo O -4.62×10-2 O -0.132 O -6.60×10-2
2. Determine the deflection at C of the beam given. If E = 220 GPa and I= 250 × 10° mm“. 5kNm C A, 3 m 3 m
Determine the deflection and slope at the x distance from support A of the beam. Take E=70 GPa and I=45.7x10-8 m4 for magnitudes of M0=7,7, x=1,5 and L=4,3.
3. Determine the deflection at point C for the beam shown by the virtual work method. 3 kN/m A D C 5 m 10 m 5 m I 21 I E = constant = 250 GPa I = 600(106) mm4
Problem 2: Use Conjugate beam, Calculate the slope and deflection at point D. 120 kN B 7 m 5 m El = constant E = 200 GPa I = 262 (106) mm
Use AREA MOMENT METHOD to Determine the following: A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross-section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 3mm. Use E=200 GPa. w 12 mm A C D E Hinge' Hinge 24 mm 0.4 m 0.4 m 0.4 m 0.4 m
Compute the horizontal and vertical components of the deflection at C. E = 200 GPa, and I = 240 x 10^6 mm^4.
Compute the location and magnitude of the maximum deflection of the beam. Given: W=55
Use CONJUGATE BEAM METHOD to Determine the following: A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross-section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 3mm. Use E=200 GPa. w 12 mm |A C D E Hinge `Hinge 24 mm 0.4 m 0.4 m 0.4 m 0.4 m
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1620 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 190 kip-ft, P = 26 kips, LAB = 3.6 ft, LBC = 5.4 ft. %3D %3D P V. MA C LAB LBC Answer: (a) VA = in. (b) VB = in.
Rod AB is made of steel (E = 29x106 psi), and rod BC is made of aluminum (E = 10.4x106 psi). If force Q = 10 kips, R =5 kips and P = 5 kips, find the deflections of points B and D. %3D 24 in 10 in- 10 in A B C R D 1 in diameter 3 in diameter
Use double integration method to determine the deflection at points B and D of the beam shown. 2 k/ft Hinge ↓↓ A -16 ft- -8f-+ I= 5,000 in.4 B -8 ft- I= 3,000 in.4 E = constant = 30,000 ksi 40 k

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The cross section of the wood beam is 4 in. by 8 in. Find the value of P for which the downward deflection at the midspan is 0.5in. Use E = 1.5 x 10 °psi. 2 kipun 10 n