Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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determine the deflection at B in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm section and E=80 GPa. Enter the absolute value only and round off your answer to 3 decimal places
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3. Determine the maximum deflection of the beam loaded as shown. Let Mo = 75 kN.m
and L = 3 m. El is constant
2Mo
Mo
-x
Determine the deflection at point C and at the site of action of the load. Take Est = 200 GPa, I = 17 x 106 mm4. Neglect the mass of the steel beam.
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- 3. Determine the maximum deflection of the beam loaded as shown. Let Mo = 75 kN.m and L = 3 m. El is constantarrow_forward5. The rigid beam rests on two short posts AC and BD as shown. Post AC is made from steel with E-200 GPa and BD from aluminum with E-70 GPa. The diameters of posts AC and 80 are 25 mm and 40 mm, respectively. Determine the vertical displacement of point on AB 100 KN 400mm D 6. The timber beam has a cross-sectional area of 2000 mm and its modulus of elasticity is 12 GP Axial loads are applied at points B, C, and D as shown. Calculate the total change in length of the beam. Answer: 2.33 mm 40 KN 35 KN 20 KN 3.20 m 1.60m 3.20 marrow_forwardconsider the beam shown in. EI is constant. assume that EI is in kip * ft2. determine the expression for the elastic curve using the coordinate x1 for 0 < x1 < 20 ft, where x1 is in feet. v1 in ft answer in terms of the variables x1, E and I. determine the expression for the elastic curve using the coordinate x2 for 0 < x2 < 10 ft where x2 is in feet. v2 in ft. answer in terms of the variables x2, E and I. specify the deflection of the beam at C. vc in ft. answer in terms of E and I. specify the slope at A, measured counterclockwise from the positive x1 axis. Theta A in rad. answer in terms of E and I.arrow_forward
- Determine the maximum stress in a hollow column of Do = 160mm and Di = 100mm that supports a load of 40KN and a bending moment of 4KN-m.arrow_forward2. Using the conjugate beam method, determine the maximum deflection of the beam. Use E = 10,000 ksi and I = 500 in4. 30 k A B -14 ft- -7 ft-arrow_forwardThe three concentrated load is supported by a T beam shown in figure. Determine the maximum value of P so that σtensile < 12 ksi and σcompressive < 20 ksi.arrow_forward
- Determine the value of a in meters so that the deflection at point C is equal to the max deflection between A and B. Use E = 200 GPa and I = 5 x 10 mm. P = 2.3 kN A C a 10 marrow_forwardDetermine the deformation of the beam at point H due to the load P. Assume that El is constant across the lenght of the beam. [P= 14.8 kips, a=2.5 ft, b=5,3 ft, El = 4.11 x 105 kips-in.²] a 0.527 in 0.737 in 1.356 in 0.349 in 0.635 in barrow_forwardA leaf spring 75 cm long is required to carry a central load of 8 kN. If the central deflection is not to exceed 2 cm and bending stress no greater than 200 MPa, determine the thickness, width and number of plates. Also compute the radius to which plates should be curved. As- sume width of plate to be 12 times its thickness and E = 200 GPa.arrow_forward
- For the beam loaded as shown, determine the deflection 6 ft from the wall. Use E = 1.5 x 106 psi and I = 40 in.* 80 lb/ft B 8 ftarrow_forwardDetermine as expressions of the elastic line, the deflection and the large at point B. E = 200 Gpa and Ix = 39 X 10−6 mm4 I've tried it a few times and I can't get to the template: v(B)= 0.85mm v'(B) = 0arrow_forwardfind the value of El such that the maximum deflection does not exceed 5mm 135 kN 90 kN 2 m 0.7 m 1 m 25 kN/m A AB C AD Rp=192.1 kN Rp= 100.4 kNarrow_forward
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