Q2 / The cross sectional area of each member of the truss as shown in the figure below 1.75 in? and E = 29(10')ksi , determine the vertical displacement at joint D due to radiant heating of member FD is subjected to an increase in temperature from 20° F C to 110° F, take a = 0.75(10)/F, and member CD would be decreased 0.2 in use Method of Virtual Work. (P in k) P=9 VP F E 4 m A D B C 3 m 3 m 3 m

Rigid bar ABC is supported by two aluminum alloy (E = 10,000 ksi) rods as shown below. The horizontal distance between rods (1) and (2) is a = 120 in. Rod (1) has a length of L1 = 87 in. and a cross-sectional area of A1 = 0.65 in.2.  Rod (2) has a length of L2 = 84 in. and a cross-sectional area of A2 = 1.15 in.2. Rigid bar ABC is to remain horizontal under a load of P = 25 kips. Determine the distance x (in inches rounded to the nearest tenths) from joint A to the location of load P so that bar ABC remains horizontal.

1. A Using E = 100 GPA. IN.A. = 1,500 x 10 mm², compute the SUPPORT REACTIONS of the loaded beam shown when: a. supports are unyielding. b. support at the midspan yields 4 mm. 4m 60 KN/m B 2m www 10 KN C D 2m

A joint is made by gluing two plywood gussets of thickness t to wood boards. The tensile working stresses are 1200 psi for the plywood and 700 psi for the boards. The working shear stress for the glue is 50 psi. Determine the dimensions b and t so that the joint is as strong as the boards.

A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has the following equation for the vertical displacement: F w (x) = E, ( - +4) %3D Ely 8. The value of E is 200,000 Nmm 2 and the values of ly is 20 x 106 mm4 The maximum value of z for the beam cross section is 20 mm What is the maximum tensile stress in the beam at the point when x = 86 mm? Express your answer in Nmm2, as a number to 2 dp, without the units.

Determine the deflection 8g at the free end of a cantilever beam AB with a uniform load of intensity q=4 kN/m acting over the middle of the length and a point load. The lenghth of beam is equal to L=3 m. The beam has flexural rigidity El=4286311 Nm². Note that upward deflection is positive. P=qL/6 A +4 3 9 L 3 13 B ↑

Determine by integration the centroid (?̅) of theshape in the figure (to the right).

How to solve for the centroid of the composite body using the principle of moments and treat each part as a finite element of the whole figure (show a step by step solution)