This applies to private property if the owner has post a No Weapons sign or requested you do not carry a weapon onto the property. It is a trespass charge.

§ 18.2-308. Carrying concealed weapons; exceptions; penalty.

A. If any person carries about his person, hidden from common observation, (i) any pistol, revolver, or other weapon designed or intended to propel a missile of any kind by action of an explosion of any combustible material; (ii) any dirk, bowie knife, switchblade knife, ballistic knife, machete, razor, slingshot, spring stick, metal knucks, or blackjack; (iii) any flailing instrument consisting of two or more rigid parts connected in such a manner as to allow them to swing freely, which may be known as a nun chahka, nun chuck, nunchaku, shuriken, or fighting chain; (iv) any disc, of whatever configuration, having at least two points or pointed blades which is designed to be thrown or propelled and which may be known as a throwing star or oriental dart; or (v) any weapon of like kind as those enumerated in this subsection, he is guilty of a Class 1 misdemeanor. A second violation of this section or a conviction under this section subsequent to any conviction under any substantially similar ordinance of any county, city, or town shall be punishable as a Class 6 felony, and a third or subsequent such violation shall be punishable as a Class 5 felony. For the purpose of this section, a weapon shall be deemed to be hidden from common observation when it is observable but is of such deceptive appearance as to disguise the weapon’s true nature. It shall be an affirmative defense to a violation of clause (i) regarding a handgun, that a person had been issued, at the time of the offense, a valid concealed handgun permit.

B. This section shall not apply to any person while in his own place of abode or the curtilage thereof.

C. Except as provided in subsection A of § 18.2-308.012, this section shall not apply to:

1. Any person while in his own place of business;
2.  Any law-enforcement officer, or retired law-enforcement officer pursuant to § 18.2-308.016, wherever such law-enforcement officer may travel in the Commonwealth;
3.  Any person who is at, or going to or from, an established shooting range, provided that the weapons are unloaded and securely wrapped while being transported;
4.  Any regularly enrolled member of a weapons collecting organization who is at, or going to or from, a bona fide weapons exhibition, provided that the weapons are unloaded and securely wrapped while being transported;
5.  Any person carrying such weapons between his place of abode and a place of purchase or repair, provided the weapons are unloaded and securely wrapped while being transported;
6. Any person actually engaged in lawful hunting, as authorized by the Board of Game and Inland Fisheries, under inclement weather conditions necessitating temporary protection of his firearm from those conditions, provided that possession of a handgun while engaged in lawful hunting shall not be construed as hunting with a handgun if the person hunting is carrying a valid concealed handgun permit;
7.  Any attorney for the Commonwealth or assistant attorney for the Commonwealth, wherever such attorney may travel in the Commonwealth;
8.  Any person who may lawfully possess a firearm and is carrying a handgun while in a personal, private motor vehicle or vessel and such handgun is secured in a container or compartment in the vehicle or vessel;
9. Any enrolled participant of a firearms training course who is at, or going to or from, a training location, provided that the weapons are unloaded and securely wrapped while being transported; and
10. Any judge or justice of the Commonwealth, wherever such judge or justice may travel in the Commonwealth.

D. This section shall also not apply to any of the following individuals while in the discharge of their official duties, or while in transit to or from such duties: 1. Carriers of the United States mail; 2. Officers or guards of any state correctional institution; 3. Conservators of the peace, except that a judge or justice of the Commonwealth, an attorney for the Commonwealth, or an assistant attorney for the Commonwealth may carry a concealed handgun pursuant to subdivisions C 7 and 10. However, the following conservators of the peace shall not be permitted to carry a concealed handgun without obtaining a permit as provided in this article: (i) notaries public; (ii) registrars; (iii) drivers, operators, or other persons in charge of any motor vehicle carrier of passengers for hire; or (iv) commissioners in chancery; 4. Noncustodial employees of the Department of Corrections designated to carry weapons by the Director of the Department of Corrections pursuant to § 53.1-29; and 5. Harbormaster of the City of Hopewell.

18.2-283. Carrying dangerous weapon to place of religious worship.

If any person carry any gun, pistol, bowie knife, dagger or other dangerous weapon, without good and sufficient reason, to a place of worship while a meeting for religious purposes is being held at such place he shall be guilty of a Class 4 misdemeanor.

§ 18.2-283.1. Carrying weapon into courthouse.

It is unlawful for any person to possess in or transport into any courthouse in this Commonwealth any (i) gun or other weapon designed or intended to propel a missile or projectile of any kind; (ii) frame, receiver, muffler, silencer, missile, projectile, or ammunition designed for use with a dangerous weapon; or (iii) other dangerous weapon, including explosives, stun weapons as defined in § 18.2-308.1, and those weapons specified in subsection A of § 18.2-308. Any such weapon shall be subject to seizure by a law-enforcement officer. A violation of this section is punishable as a Class 1 misdemeanor.

The provisions of this section shall not apply to any police officer, sheriff, law-enforcement agent or official, conservation police officer, conservator of the peace, magistrate, court officer, judge, city or county treasurer, or commissioner or deputy commissioner of the Virginia Workers’ Compensation Commission while in the conduct of such person’s official duties.

§ 18.2-308.1. Possession of firearm, stun weapon, or other weapon on school property prohibited; penalty.
A. If any person knowingly possesses any
(i) stun weapon as defined in this section;
(ii) knife, except a pocket knife having a folding metal blade of less than three inches; or
(iii) weapon, including a weapon of like kind, designated in subsection A of § 18.2-308, other than a firearm; upon
(a) the property of any public, private or religious elementary, middle or high school, including buildings and grounds;
(b) that portion of any property open to the public and then exclusively used for school-sponsored functions or extracurricular activities while such functions or activities are taking place; or
(c) any school bus owned or operated by any such school, he shall be guilty of a Class 1 misdemeanor.

B. If any person knowingly possesses any firearm designed or intended to expel a projectile by action of an explosion of a combustible material while such person is upon
(i) any public, private or religious elementary, middle or high school, including buildings and grounds;
(ii) that portion of any property open to the public and then exclusively used for school-sponsored functions or extracurricular activities while such functions or activities are taking place; or
(iii) any school bus owned or operated by any such school, he shall be guilty of a Class 6 felony.

C. If any person knowingly possesses any firearm designed or intended to expel a projectile by action of an explosion of a combustible material within a public, private or religious elementary, middle or high school building and intends to use, or attempts to use, such firearm, or displays such weapon in a threatening manner, such person shall be guilty of a Class 6 felony and sentenced to a mandatory minimum term of imprisonment of five years to be served consecutively with any other sentence. The exemptions set out in § 18.2-308 shall apply, mutatis mutandis, to the provisions of this section. The provisions of this section shall not apply to;
(i) persons who possess such weapon or weapons as a part of the school’s curriculum or activities;
(ii) a person possessing a knife customarily used for food preparation or service and using it for such purpose;
(iii) persons who possess such weapon or weapons as a part of any program sponsored or facilitated by either the school or any organization authorized by the school to conduct its programs either on or off the school premises;
(iv) any law-enforcement officer;
(v) any person who possesses a knife or blade which he uses customarily in his trade;
(vi) a person who possesses an unloaded firearm that is in a closed container, or a knife having a metal blade, in or upon a motor vehicle, or an unloaded shotgun or rifle in a firearms rack in or upon a motor vehicle;
(vii) a person who has a valid concealed handgun permit and possesses a concealed handgun while in a motor vehicle in a parking lot, traffic circle, or other means of vehicular ingress or egress to the school; or
(viii) an armed security officer, licensed pursuant to Article 4 (§ 9.1-138 et seq.) of Chapter 1 of Title 9.1, hired by a private or religious school for the protection of students and employees as authorized by such school.

For the purposes of this paragraph, “weapon” includes a knife having a metal blade of three inches or longer and “closed container” includes a locked vehicle trunk.