The cross-sectional dimensions of the beam are shown in figure.[a= 5 in., b= 11 in., t= 1 in.] H a y K 12 a b What is distance of the centroid from the top of the section? What is the moment of inertia about the z-axis?

For the given beam the displacement at B is 1.51 in down. The rotation at B is 0.013 radians downward. What is the total displacement at C to the nearest 0.001 inches? Be sure to include a negative value if the deflection is down. 엊 A X L1 L1 = 8 ft L2 = 10 ft El = 364,000 k-in^2 D ↓ B L2

Given the figure, determine the Total Area of the I-beam, Individual Segment's Centroid, and ȳ. (see image)

a = 185mm

2.) F = 500 Ib F2 = 600 Ib Determine - The resultant R 30* 30% F3 = 700 Ib - The angle between the R and the x-axis 40° 20° (a)

E=160 GPa I= 65.0*106mm4 What is the slope and deflection at the end of the beam?

The cantilever beam is a 10 in length carbon steel bar, with a diameter of 1 in. And it is charged by a force F = 100 lbf.A) A Find the maximum deflection using the method of virtual forces, including that resulting from shear.B) What error will be introduced if the shear is disregarded?

Determine the magnitude of P such that the gap, 8, between the steel bar and the rigid horizontal beam just comes in contact (i.e. no force in the steel bar). In your calculations neglect the width of the steel bar. Report P in kips to two decimal places. A = PL EA + KATL rigid horizonal beam 95" 100" 60" aluminum bar E=11,000 ksi A = 1.0 in² AT=50 °F 13.5 x 100 1/°F Ɑ= 60" steel bar E= 29,000 ksi A=1.0 in² AT=75 °F a= 6.5 x 108 1/°F 80" inital gap, 8=0.157 before any temperature or load is applied

Solve the slope and deflection for the problem using MAT. Draw the tangency 25 mm 75 mm 75 mm 15 kN Ti 25 mm 150 mm lines and label it completely including the required slope and deflection. E = 10GPA C and the cross section of the beam is B' shown in figure. 4 m 4 m Required Slope (radian) Required Deflection (mm) ĐA = AB = 0C = %3D Tangency Lines with EC M/EI Diagram

The bar composed of aluminum was sustained by the 14 mm2 cross-sectional area of the pin-connected rod CB. When the bar is vertically deflected at D, calculate the vertical deflection of the bar when distributed load is applied  Given: E = 68.9 x 10^9 Pa