Use the method of virtual work and determine the vertical displacement of joint B of the tru Each steel member has a cross-sectional area 300 mm2 E = 200 GPa.

Determine:a) the horizontal displacement of joint A of the steel truss. b) Due to fabrication error, members AD and BE are 2cm too long. Determine the horizontal displacement of joint A under the same loading condition. Each member has a cross-sectional area of 400mm2 and E=200GPa.

STRENGTH OF MATERIALS (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. NO LONG EXPLANATION NEEDED. ANSWER IN 3 DECIMAL PLACES.)

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50 MPа A 35 MPa B 30 90 MPa The state of stress at a point in a member is shown on the element. You are required to determine the normal stress and shear stress acting on the inclined plane AB and show the result on the sectioned element: Using the method of equilibrium, and NOTE: support your answer with sketches and the FBD.

8 Expansion is an axial deformation. 9 True 10 False The coordinates of centroid locate the ge ometric center of the cross-section of the material.( True False Torsional stress is also known as bending stress.( True False

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.

The state of stress at a point in a member is shown on the element. Determine the principal normal stresses and their orientation and the maximum in-plane shear stress and their orientation. Draw Mohr’'s circle and Show results on properly oriented elements. -60 30 -50 40 -40 T-30 30 30 -20 40 30 -10 -60 -50 -40 -30 -20 -10 30 40 50 10 20 бо 10 20 30 40 50 60

The truss ABC is constructed of three titanium (E Ti ​ =17.4×10 3 ksi) members. A horizontal force of 1.8 kip and an unknown force P are applied to the truss at point B as shown. Member AB has a cross-sectional area of 0.1in 2 , member BC has a cross-sectional area of 0.0025ft 2 , and member AC has a cross-sectional area of 0.2 in2.   b) Determine the magnitude of the force P that is required to displace the roller at point C to the right by .03 inches.

A pin-jointed truss ABC shown below consists of two links AB and BC. These links are 6 mm thick and 20 mm wide as shown. There are support brackets at A and C. All pins are 12 mm in diameter and a vertical force, P = 9 kN is applied at pin B as shown. The angle 0 =38 deg. and the angle ẞ = 0 + 20 deg. The normal stress in link AB is (The result is accurate to one decimal place, in the unit MPa. Please write down only the value of your final result) · 12mm 9 20mm -1.0m⋅ B